Abstract:
A spin-wave waveguide includes a ferromagnetic thin film resembling a wire in shape. A part of the ferromagnetic thin film, large in film thickness, is formed at one end of the ferromagnetic thin film, and a part of the ferromagnetic thin film, small in film thickness, and a part of the ferromagnetic thin film, large in film thickness, are alternately formed on the same plane, for at least not less than one cycle. A part of the ferromagnetic thin film, large in film thickness, is formed at the other end of the ferromagnetic thin film, wherein an insulating film, and an electrode film are stacked in this order on the ferromagnetic thin film in the part of the ferromagnetic thin film, large in film thickness.

Description:
CLAIM OF PRIORITY 
     The present application claims priority from Japanese patent application JP 2011-269558 filed on Dec. 9, 2011, the content of which is hereby incorporated by reference into this application. 
     FIELD OF THE INVENTION 
     The present invention relates to a waveguide, and an element, using a spin wave as an information-transmission medium, and an operation circuit using the waveguide. 
     BACKGROUND OF THE INVENTION 
     While information content to be processed in a unit time has exponentially increased along with an explosive development in the information society, a dramatic decrease in energy made available for use in information-processing has been in strong demand from the standpoint of the global environment, and energy constraints. With a semiconductor operation element based on a CMOS, available up to now, performance has increased along with miniaturization, however, an increase in power consumption, induced by an increase in leakage current loss increasing due to the miniaturization, and AC loss together with joule loss, occurring when current flows through an interconnection, has become pronounced, so that it has become difficult to enhance a working speed. In order to cope with this situation, countermeasures have been taken for turning a block power off without using multi-cores whereby a plurality of processors are disposed, power gating, and so forth. It is deemed, however, that there is a limitation to any of the countermeasures. 
     Attention has lately been focused on a spin flow for transmitting information by means of a flow of spin without being accompanied by current flow, as a technology for realizing lower power consumption. Two types of spin flows exist in the spin flow, including an electron spin flow in which an electron propagating on a Fermi surface is a carrier, as described in, for example, Non-patent Document 1 {Nature, Vol. 416, pp. 713-715 (2002)}, and a spin-wave spin flow in which precession of spin constrained by a atom propagates in a ferromagnetic waveguide. The spin wave among them is relatively long, being in a range of several tens of μm to several cm, so that application of the spin wave to an operation circuit large in scale is hoped for. 
     There have been disclosed a method for effectively generating a spin wave, and a method for controlling a phase of a spin wave in, for example, in Japanese Unexamined Patent Application Publication No. 2009-508353, and further, an information-processing device making use of the fluctuating nature of reflection, refraction, transmission, interference, and so forth of a spin wave has also been disclosed therein. Further, in Non-patent Document 2 {IEEE TRANSACTIONS ON MAGNETICS, VOL. 44, NO. 9, pp. 2141-2150 (2008)}, there have been disclosed specific logic operation circuits using a spin wave (an AND circuit, an OR circuit, a NAND, a NOR circuit, and so forth) in addition to a method for exciting a spin wave, a method for detecting a spin wave, and a method for controlling a spin wave phase, thereby pointing to significant reduction in power consumption. 
     Still further, in Non-patent Document 3 {JOURNAL OF APPLIED PHYSICS, VOL. 110, p. 034306 (2011)}, there have been disclosed a spin wave operation circuit compatible with a present-day synchronous operation circuit where write-information is computed by use of a spin wave to be subsequently stored, thereby proceeding with the next information-processing. The content of the information-processing is briefly described hereinafter. 
       FIG. 1  is a view schematically showing the spin wave operation circuit disclosed in the Non-patent Document 3. Reference numeral  101  denotes an Si substrate,  102  a spin-wave waveguide wire-like (linear) in shape,  103  a ferromagnetic film made of Ni, and so forth, having an easy axis of magnetization in the longitudinal direction thereof,  104  a ferroelectric film made of PTZ, and so forth,  105  a metal electrode material film, made of Al, and so forth, and  106  a line of a metal material made of Al, and so forth. Reference numeral  107  denotes a region for exciting a spin wave, and  108  a detection region for detecting a spin wave. In this circuit, an operation using the spin wave is executed as follows.  103 ,  104 , and  105  each indicate a magnetoelectric (ME) effect element capable of controlling the magnetic anisotropy direction of the ferromagnetic film  103  upon application of an electric field. 
     Further, description is given hereinafter with reference to an xyz coordinate system shown in  FIG. 1 . With the present invention, a direction vertical to a film surface is a z-axis direction, and a direction parallel with the film surface is a direction within an x-y plane. 
     Upon application of the electric field +, or − (More specifically, upward, or downward in the perpendicular direction) to the element, information “ 0 ”, or “ 1 ” is written to the ferromagnetic film  103 . Next, an electric field identical in polarity to the +, or − electric field is applied to excite a spin wave. While the spin wave propagates through the waveguide to reach the Ni film in the lower part of the electrode line  106 , a first operation is executed by making use of the fluctuating nature of the spin wave, and the result thereof is recorded in the Ni film. Next, while the electrode line  106  is activated to cause a spin wave to be excited again, and the spin wave propagates through the waveguide to reach the detection region  108 , a second operation is executed by making use of the fluctuating nature of the spin wave, and the result thereof is recorded in the Ni film present in the region  108 . The result of the operation is electrically detected via the ME effect elements present in the region  108 . 
       FIGS. 2A to 2C  each are a view showing the spin-wave waveguide  102 , and the ME effect element in greater detail. In the spin-wave waveguide, magnetization of a ferromagnetic material is oriented in the perpendicular direction, as shown in  FIG. 2B . In contrast, the Ni film  103  has the easy axis of magnetization in the longitudinal direction thereof, however, because the Ni film is magnetically coupled to a ferromagnetic film  102  of perpendicular magnetization, a magnetization direction thereof is unable to be oriented fully in the longitudinal direction, the magnetization direction is therefore oriented in a direction between the perpendicular/the longitudinal, as shown in  FIG. 2C . Since one stabilization point exists in the respective directions of +y/−y, the information “ 0 ”, or “ 1 ” can be written to the Ni film. 
     SUMMARY OF THE INVENTION 
     However, the spin-wave operation circuit described as above has the following problem. 
     The spin-wave operation circuit described in {IEEE TRANSACTIONS ON MAGNETICS, VOL. 44, NO. 9, pp. 2141-2150 (2008)} is not provided with a mechanism whereby an operation is sequentially progressed according to a clock, so that it is impossible to make use of asynchronous information-processing method that is in the mainstream at present, and applicability is considerably restricted. The spin wave operation circuit described in {JOURNAL OF APPLIED PHYSICS, VOL. 110, p. 034306 (2011)} is improved in this respect. 
     However, with the operation circuit described as above, the ME effect element used for writing, and excitation of the spin wave is an element made up by coupling a ferromagnetic material to a ferroelectric material, so that the ME effect element goes into complex actions such as (1) distortion being induced in the ferroelectric material by applying a voltage to the ferroelectric material, and (2) magnetic anisotropy of the ferromagnetic material being modulated due to a magnetostriction effect caused by the distortion as induced. A high-performance ME effect element operating at room temperature has not been available up to now. Further, attention is being focused on a multi-ferroic film having both a ferromagnetic property and a ferroelectric property, as a constituent material capable of fundamentally enhancing the characteristic of the ME effect element, however, such a constituent material as described hardly exists in the current state of the art. 
     It is therefore an object of the invention to provide a spin-wave waveguide high in performance, operable at room temperature, capable of substituting for an ME effect element, and exciting a spin wave, and writing, and an operation circuit using the spin-wave waveguide, compatible with an existing synchronous operation circuit. 
     To that end, in accordance with one aspect of the invention, there is provided a spin-wave waveguide comprising a ferromagnetic thin film resembling a wire in shape, and a part of the ferromagnetic thin film, large in film thickness, apart of the ferromagnetic thin film, small in film thickness, and apart of the ferromagnetic thin film, large in film thickness, the parts being formed in this order on the ferromagnetic thin film, so as to be arranged in a direction where the wire is extended. An insulating film, and an electrode film are stacked in this order in the part of the ferromagnetic thin film, large in film thickness, and magnetic anisotropy of the part of the ferromagnetic thin film, large in film thickness, is parallel with a film surface while magnetic anisotropy of the part of the ferromagnetic thin film, small in film thickness, is perpendicular to the film surface. Further, the ferromagnetic thin film may be comprised of Co, and Fe, or an alloy of Co, and Fe, or a metal comprised of Co, and Fe, or the alloy of Co, and Fe, containing B. 
     In accordance with another aspect of the invention, there is provided a spin-wave waveguide comprising a first ferromagnetic thin film resembling a wire in shape, and a second ferromagnetic thin film differing from the first ferromagnetic thin film, and a region where the second ferromagnetic thin film, an insulating film, and an electrode film are stacked in this order is provided on the first ferromagnetic thin film, further a portion of the first ferromagnetic thin film, provided with a stacked film, and a portion of the first ferromagnetic thin film, not provided with the stacked film, are formed in this order in a direction where the wire is extended. Further, magnetic anisotropy of the first ferromagnetic thin film is perpendicular to a film surface while magnetic anisotropy of a portion of the second ferromagnetic thin film, large in film thickness, is oriented in the longitudinal direction of the film surface. 
     Further, the second ferromagnetic thin film may be comprised of Co, and Fe, or an alloy made of Co, and Fe, or a metal comprised of Co, and Fe, or the alloy of Co, and Fe, containing B. Still further, the first ferromagnetic thin film may be made up of an alloy containing any element selected from the group consisting of Co, Fe, and Ni, or a plurality of elements selected therefrom, together with any element selected from the group consisting of Pt, and Pd, an alternate-stacked film comprised of any element selected from the group consisting of Co, Fe, and Ni, or a plurality of elements selected therefrom, together with any element selected from the group consisting of Pt, and Pd, or an alternate-stacked film comprised of Co, or Fe, or an alloy containing Co, or Fe, together with Ni, and so forth. 
     Furthermore, the insulating film may be an MgO film in the spin-wave waveguide. Otherwise, the insulating film may be made up of an oxide, a nitride, and an oxynitride, containing at least one element selected from the group consisting of Al, Zn, Ti, Zr, Ni, SI, and Fe. Or, a metal film may be inserted between the first ferromagnetic thin film and the second ferromagnetic thin film, and magnetization of the first ferromagnetic thin film may be magnetically coupled to magnetization of the second ferromagnetic thin film by the agency of a bonding force with exchange interaction via the metal film inserted. 
     Otherwise, in the spin-wave waveguide, the electrode film stacked on the part of the ferromagnetic thin film, large in film thickness, formed at one end of the spin-wave waveguide, may be made of a non-magnetic metal. Further, the electrode film stacked on the part of the ferromagnetic thin film, small in film thickness, formed at one end of the spin-wave waveguide, may be a ferromagnetic film. 
     In accordance to still another aspect of the invention, there is provided a spin-wave operation circuit comprising the spin-wave waveguide, and a means for transmitting a signal to the electrode film formed on the spin-wave waveguide, and an electrode at the one end of the spin-wave waveguide is used for signal-writing, or for excitation of a spin wave propagating through the ferromagnetic thin film resembling a wire in shape, and an electrode at the other end of the spin-wave waveguide is used for signal-reading, while other electrodes of the spin-wave waveguide are used for the signal-writing, the excitation of the spin wave propagating through the ferromagnetic thin film resembling a wire in shape. 
     Yet further, a plurality of the spin-wave waveguides may intersect each other in a region where the signal-writing, the excitation of the spin wave, and the signal-reading are executed. Furthermore, if a relationship between a wavelength (λ) of the spin wave and a width (w) of the spin-wave waveguide, that is, the ferromagnetic thin film resembling a wire in shape is shown as λ&lt;w in the spin wave operation circuit, a plurality of the spin-wave waveguides may intersect each other in a region other than a region where the signal-writing, the excitation of the spin wave, and the signal-reading are executed. 
     Further, a voltage larger than a predetermined threshold voltage, having a predetermined pulse width, is applied to the electrode in the spin wave operation circuit, and information is thereby written to a part of the ferromagnetic thin film. Or, a voltage lower than a predetermined threshold voltage, having a predetermined pulse width, is applied to an electrode in a spin wave operation circuit, and a spin wave is caused to undergo excitation within a ferromagnetic thin film in a spin wave operation circuit. 
     Thus, the use of the present invention can provide a spin-wave waveguide ultra-low power consumption, compatible with an existing synchronous operation circuit, and an operation circuit using the spin-wave waveguide. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         FIG. 1  is a view showing an example of the operation circuit according to the related art, using a spin-wave waveguide; 
         FIGS. 2A ,  2 B and  2 C are views showing the spin-wave waveguide according to the related art; 
         FIG. 3  is a view showing a first embodiment of a spin-wave waveguide according to the invention; 
         FIG. 4  is a view showing a relationship between a thickness of a magnetic film used in the first embodiment of the present invention and magnetic anisotropy thereof; 
         FIG. 5A  and  FIG. 5B  are views showing information writing and a spin-wave excitation method according to the first embodiment of the present invention; 
         FIG. 6A  and  FIG. 6B  are views showing basic logic elements of a spin wave operation circuit according to the invention; 
         FIG. 7  is a view showing one example of a full adder using the spin-wave waveguide according to the invention; 
         FIG. 8  is a view showing another example of a full adder using the spin-wave waveguide according to the invention; 
         FIG. 9  is view showing a characteristic of the spin wave propagating through the spin-wave waveguide according to the invention; 
         FIG. 10  is a schematic diagram showing a second embodiment of a spin-wave waveguide according to the invention; and 
         FIGS. 11A ,  11 B,  11 C and  11 D are views for describing the principle behind writing by a spin wave. 
     
    
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS 
     There are described hereinafter various embodiments of the invention with reference to the accompanied drawings. 
     First Embodiment 
       FIG. 3  is a view showing a first embodiment of a spin-wave waveguide according to the invention. 
     Reference numeral  301  denotes an electrode,  302  an insulating film,  303  a ferromagnetic filmmaking up a spin-wave waveguide, and  304  a substrate film. Reference numeral  305  denotes an information input part,  306  a primary information-recording part, and  307  an information regeneration part. The ferromagnetic film  303  is substituted for the electrode  301  at  307 , and  307  serves as a so-called ferromagnetic tunneling junction (MTJ). 
     Further, description is given hereinafter with reference to an xyz coordinate system shown in  FIG. 3 . With the present invention, a direction vertical to the film surface indicates the z-axis direction, and a direction parallel with the film surface indicates the direction within the x-y plane. This definition is exactly identical to that given with reference to  FIGS. 1 ,  2 , respectively. 
     Directions of magnetization in respective regions are schematically shown in a lower part of  FIG. 3 . In the region  305 , the easy axis of magnetization is oriented in the longitudinal direction, however, the region  305  is linked with the waveguide part  303  where the direction of the easy axis of magnetization is perpendicular to the film surface via a constituent material identical thereto, so that a magnetization direction in the region  305  is oriented between the longitudinal direction and the perpendicular direction without being oriented fully in the longitudinal direction. In the waveguide part  303  wire-like (linear) in shape, a magnetization direction is oriented in the direction perpendicular to the film surface. In the region  306  for provisionally recording information, a magnetization direction is identical to that in the region  305 . In a region on the right side of  306 , a magnetization direction is oriented in the direction perpendicular to the film surface. In a ferromagnetic film of the lower part of the region  307 , a magnetization direction is identical to that in the regions  305 ,  306 , respectively. In a ferromagnetic film  303  of the upper part of the region  307 , a magnetization direction is oriented fully in the longitudinal direction. 
     The reason why both the longitudinal magnetization and the perpendicular magnetization can be realized with the use of the same material of  303 , in the present embodiment, is described hereinafter with reference to  FIG. 4 .  FIG. 4  is a view showing a relationship between a CoFeB film thickness t of a CoFeB film receiving attention at present, as a MTJ material that realizes a high tunneling magnetic resistance (TMR) ratio, and perpendicular anisotropy energy K of the CoFeB film. In {Nature Materials, Vol. 9, pp. 721-724 (2010)}, it is shown that in the case of a film thickness having a perpendicular anisotropy energy density greater than zero, a magnetization direction is oriented in the perpendicular direction, and if the perpendicular anisotropy energy density becomes smaller than zero, the magnetization direction is oriented in the longitudinal direction. With the present embodiment, CoFeB is assumed to have a composition of Co 20 Fe 60 B 20 . However, the composition is not limited thereto. 
     With the present embodiment, the magnetization direction have undergone a change from the perpendicular direction to the longitudinal direction if t=1.6 nm. A critical film-thickness at which the magnetization of the ferromagnetic film is switched over from the perpendicular direction to the longitudinal direction varies according to the composition of the CoFeB film, a constituent material of the substrate film of the lower part, and so forth. A composition ratio Co:Fe of CoFeB is preferably from 50:50 to 0:100 in order to obtain a relatively large critical film-thickness. Further, for the substrate film, use is preferably made of an alloy based on Ta. With the present embodiment, the respective CoFeB films (longitudinally magnetized films) of the regions  305 ,  306 ,  307  are set to 1.7 nm in thickness on the basis of the result of measurement, and CoFeB layers to be perpendicularly magnetized, other than the CoFeB films, are set to 1.3 nm in thickness. When saturation magnetization Ms of the CoFeB film was measured by use of a vibrating-sample magnetometer (VSM), a value thereof was found at 1.6 T. 
     The respective CoFeB films of the regions  305 ,  306 ,  307  are intrinsically the longitudinally magnetized films, however, because the CoFeB film of the region, other than the respective regions  305 ,  306 , and  307  is perpendicularly magnetized, as shown in  FIG. 3 , the magnetization direction thereof is not fully oriented in the longitudinal direction. With the present embodiment, the magnetization direction in the respective CoFeB films of the regions  305 ,  306 , and  307  was found to form an angle of about 45 degrees from the film surface when an external magnetic field was not applied. This angle can be changed by adjusting the thicknesses of the respective CoFeB films of the regions  305 ,  306 ,  307 , and the thickness of the CoFeB film of the region, other than the regions  305 ,  306 , and  307 . 
     Further, with the present embodiment, the spin-wave waveguide wire-like (linear) in shape was set to 100 nm in width, and for the insulating film  302 , use was made of MgO. The type of the insulating film is not limited to an MgO film, and for the insulating film, use can be made of an oxide, a nitride, and an oxynitride, containing at least one element selected from the group consisting of, for example, Al, Zn, Ti, Zr, Ni, Si, and Fe. With the present embodiment, Al was used as a constituent material of the electrode  301 ; however, a metal small in resistivity, other than Al, such as Cu, Au, Ag, or an alloy thereof, is preferably used. The electrode  301  and the insulating film  302  each were set to 50 nm in size in a depth-direction. 
     A method for information recording, and a method for information transmission, in the present the spin-wave waveguide, are each described hereinafter in detail. 
     The information recording is executed by use of an electric field pulse in the region  305 . Upon application of an electric field pulse from the CoFeB film  303  that is set positive in polarity to the electrode  301 , an electron state in the vicinity of an interface between the CoFeB film  303  and the MgO film  302  undergoes a change, whereupon perpendicular magnetic anisotropy in the vicinity of the interface will increase. As a result, magnetization starts precession, as shown in  FIG. 5A . If an applied voltage is larger than a threshold voltage Vth, an amplitude of the precession of the magnetization will increase, whereupon the magnetization starts precession centering around the z-axis. If a width τ of a voltage pulse is approximately T/2 on the assumption that a period of the precession is defined as T, the magnetization undergoes gradual attenuation at a point a little short of around a stabilization point after the voltage pulse is cut off to finally fall to the stabilization point, thereby coming to a rest, as shown in  FIG. 5B . 
     If τ=T, the magnetization comes to a rest at the original stabilization point. Thus, if τ=T/2*(n−1) (n is a natural number), transition of magnetization occurs, and if τ=nT, the transition of magnetization does not occur. In the case of the present embodiment, Vth was at about 0.4 V, and T=300 ps. From the standpoint of a high-speed operation, recording is preferably executed at τ=150 ps, however, if a peripheral circuit cannot be speeded up to such an extent as that, it need only be sufficient to use a pulse width of a high-order period such as τ=450 ps, 750 ps, and so forth. In an actual circuit operation, magnetization in a −y-direction (information  0 ), or magnetization in a +y-direction (information  1 ) is recorded in the CoFeB film of the region  303  during a preceding recording operation. If the same information as preceding information need be recorded, no voltage is applied. If the preceding information need be rewritten, a pulse voltage at τ=T/2*(n−1) is to be applied. 
     For information transmission, a spin wave is used. In this case, a pulse voltage smaller in value than the Vth, having τ&lt;T, is applied. In order to switch over between two stable magnetization directions described as above, there is the need for supplying magnetization with kinetic energy in excess of an energy barrier ΔE between both the stable magnetizations. However, if V&lt;Vth, the kinetic energy is insufficient, so that switching of the magnetization does not occur, and precession proceeds around the stabilization point of the magnetization. This precession, as a spin wave, propagates from the region  305  to the spin-wave waveguide, whereupon the spin wave overwrites the information  0 ,  1  on the CoFeB film in the region  306 . 
     The principle behind writing by a spin wave is further described detail with reference to  FIG. 11 . Coordinate axes in  FIG. 11  are identical in definition to those of  FIG. 3 . Suppose the case where the information  1  is recorded in an information input part as shown in  FIG. 11A , that is, the case where magnetization is oriented in the +y-direction. Because a distance between an information input part  1101  and an information output part  1103  is equal to a wavelength λ of the spin wave, the spin wave  1104  excited by an electric field will have an amplitude oriented in the +y-direction in the information output part after the elapse of time t=λ/v (v is a speed of the spin wave) from the excitation of the spin wave. This information, as it is, is recorded in the information output part. 
     On the other hand, in the case where the distance between the information input part  1101  and the information output part  1103  is (n+½) (n is a natural number) times as long as the wavelength λ of the spin wave, as shown in  FIG. 11(   b ), the spin wave will have an amplitude oriented in the −y-direction after the elapse of time t, and this information, as it is, is recorded in the information output part. In the case where the distance between the information input part  1101  and the information output part  1103  is equal to the wavelength λ of the spin wave, and the information  0 , that is, the magnetization in the −y-direction is recorded in the information input part, as shown in  FIG. 11C , the spin wave will have an amplitude oriented in the −y-direction after the elapse of time t, and this information, as it is, is recorded in the information output part. 
     Further, in the case where the distance between the information input part  1101  and the information output part  1103  is (n+½) times as long as the wavelength λ of the spin wave, and the information  0 , that is, the magnetization in the −y-direction is recorded in the information input part as shown in  FIG. 11(   d ), the spin wave will have an amplitude oriented in the +y-direction after the elapse of time t, and this information, as it is, is recorded in the information output part. 
     While the fundamental principle is described as above, an experiment was further conducted by varying information written to the region  305  and a distance between the region  305  and the region  306  in order to measure which of the information  0  and the information  1  is written to the region  306 . The result of the experiment is summarized in Table 1 (n is a natural number). 
     
       
         
               
               
               
             
           
               
                 TABLE 1 
               
               
                   
               
               
                 Information 
                 Distance L between the 
                 Information 
               
               
                 recorded in the 
                 regions 305 and 306 
                 recorded in 
               
               
                 region 305 
                 (λ = spin-wave wavelength) 
                 the region 306 
               
               
                   
               
             
             
               
                 0 
                 (n − 0.1) λ &lt; L &lt; (n + 0.4) λ 
                 0 
               
               
                 0 
                 (n + 0.4) λ &lt; L &lt; (n + 0.9) λ 
                 1 
               
               
                 1 
                 (n − 0.1) λ &lt; L &lt; (n + 0.4) λ 
                 1 
               
               
                 1 
                 (n + 0.4) λ &lt; L &lt; (n + 0.9) λ 
                 0 
               
               
                   
               
             
          
         
       
     
     It is evident from the result that if a distance L between the regions  305 ,  306  is (n−0.1) λ&lt;L&lt;(n+0.4) λ, the information in the region  305  is identical to that in the region  306 , thereby showing that the pin-wave waveguide acts as a buffer. On the other hand, if the distance L between the regions  305 ,  306  is (n+0.4) λ&lt;L&lt;(n+0.4) λ, information opposite from the information in the region  305  is written to the region  306 , so that the pin-wave waveguide acts as an inverter. 
     The information transmission and computation processing from the primary information-recording region  306  to the reading region  307  are executed by the exactly same procedure as described above. More specifically, the pulse voltage at V&lt;Vth, having τ&lt;T, is applied to the electrode of the region  306  to thereby excite the spin wave, whereupon the spin wave propagates through the spin-wave waveguide, and information is finally written to the region  307 . Finally, a minute current is caused to flow between the CoFeB film in the upper part of the region  307  and the CoFeB film in the lower part thereof, and the information ( 0 ,  1 ) recorded in the region  307  is read out by the agency of the TMR effect. 
       FIGS. 6A and 6B  show a configuration example of other fundamental AND logic, OR logic, and NAND logic gates using the spin-wave waveguide according to the present invention.  FIG. 6A  shows an AND logic. Reference numeral  601  denotes two terminals which input information, and  602  denotes a terminal which outputs information. A distance between a region  601  and a region  602  is n-times as long as the wavelength λ of the spin wave, and further, the information  0  is kept recorded in the region  602  in advance. A truth table is shown in Table 2. 
     
       
         
               
               
               
             
           
               
                 TABLE 2 
               
               
                   
               
               
                 Information of 
                 Information of 
                 Information of 
               
               
                 input terminal A 
                 input terminal B 
                 output terminal O 
               
               
                   
               
             
             
               
                 0 
                 0 
                 0 
               
               
                 0 
                 1 
                 0 
               
               
                 1 
                 0 
                 0 
               
               
                 1 
                 1 
                 1 
               
               
                   
               
             
          
         
       
     
     In  FIG. 6A , since two waveguides are equal in length to each other, if an input terminal A is identical in phase (that is, information as recorded) to an input terminal B, a spin wave excited by the input terminal A, and a spin wave excited by the input terminal B will reinforce each other before interfering with each other, so that the information  0  is recorded in the case where original input information is ( 0 ,  0 ) while the information  1  is recorded in the case where original input information is ( 1 ,  1 ). 
     On the other hand, if the input terminal A is not identical in phase (that is, the information as recorded) to the input terminal B, the spin wave excited by the input terminal A, and the spin wave excited by the input terminal B will weaken each other before interfering with each other, so that the information is not overwritten, and either of the information pieces will remain in as-recorded state. Thus, the truth table shown in Table 2 is realized. OR logic can be realized by keeping the information  1  to be pre-recorded in the region  602  in a waveguide structure shown in  FIG. 6A . 
       FIG. 6B  shows an example in which NAND logic is realized. In  FIG. 6B , a distance between an input terminal A and an output terminal O is (n+½) times as long as the wavelength λ of the spin wave, and a distance between an input terminal B and the output terminal O is n-times as long as the wavelength λ of the spin wave. Further, the information  1  is kept pre-recorded in the region  602 . A truth table is shown in Table 3. 
     
       
         
               
               
               
             
           
               
                 TABLE 3 
               
               
                   
               
               
                 Information of 
                 Information of 
                 Information of 
               
               
                 input terminal A 
                 input terminal B 
                 output terminal O 
               
               
                   
               
             
             
               
                 0 
                 0 
                 1 
               
               
                 0 
                 1 
                 1 
               
               
                 1 
                 0 
                 1 
               
               
                 1 
                 1 
                 0 
               
               
                   
               
             
          
         
       
     
     In  FIG. 6(   b ), two waveguides differ in length from each other by a half wavelength of the spin wave, and if a spin wave is excited at the input terminals A, B at the same timing, the spin wave excited at the input terminal A is inevitably delayed in reaching the output terminal O. In the case where the recorded information is ( 0 ,  0 ), the spin wave of the input terminal B first reaches the output terminal O to record the information  0 , and subsequently, the spin wave of the input terminal A reaches the output terminal O, however, the phase thereof is deviated from the recorded information of the input terminal A by π, so that the information  1  is overwritten to the output terminal O. In the case where the recorded information is ( 0 ,  1 ), the spin wave excited at the input terminal B first reaches the output terminal O to record the information  1 , and subsequently, the spin wave excited at the input terminal A reaches there, whereupon the information  1  with a phase deviated by π from the information of the input terminal is overwritten to the output terminal. 
     In the case where the recorded information is ( 1 ,  0 ), the spin wave excited at the input terminal B first reaches the output terminal O to record the information  0 , and subsequently, the spin wave excited at the input terminal A reaches there, however, the phase thereof is deviated by IC from the recorded information of the input terminal A, so that the information  1  is overwritten to the output terminal O. In the case where the recorded information is ( 1 ,  1 ), the spin wave excited at the input terminal B first reaches the output terminal O to record the information  1 , and subsequently, the spin wave excited at the input terminal A reaches there, however, the phase thereof is deviated by π from the recorded information of the input terminal A, so that the information  0  is overwritten to the output terminal O. 
     Thus, NAND logic is realized. Since NAND logic elements are universal circuits for use in realizing all logic operation circuits, it is evident from the description as above that all the logic operation circuits can be realized by use of the spin-wave waveguide according to the invention. 
     Next, a method for realizing a large scale logic operation circuit making use of the spin-wave waveguide according to the invention is described hereinafter by taking an example of a full adder. The full adder is the most fundamental functional unit for sequentially adding N-bit binary digits A (taking values A 1 , A 2 , . . . , AN in increasing order of bits), and N-bit binary digits B (taking values B 1 , B 2 , . . . , BN in increasing order of bits), from respective low-order bits, thereby digitally calculating the sum of the two binary digits. A carry output at the time of executing addition of the respective bits is recorded in a carry Ci (i=1, 2, . . . , N) to be used at the time of calculation of bits higher in order by one. The result of final calculation is expressed by (N+1)-bit binary digits such as (01, 02, . . . , 0N, CN in increasing order of bits. 
     A layout method for realizing the adder described as above by use of the spin-wave waveguide can be divided into two cases according to a relationship between the wavelength λ of the spin wave and a width w of the spin-wave waveguide. If two spin waves intersect each other when λ is greater than w, leakage of a spin wave, from one waveguide to the other, will occur in a region of intersection, that is, a so-called crosstalk will occur. In consequence, noise occurs to the result of an operation, which is not preferable from the viewpoint of an operation in the operation circuit. Accordingly, in the case of λ&gt;w, intersection of the spin-wave waveguides, with each other, is not permissible in terms of a layout. On the other hand, in the case of λ&lt;w, the leakage of the spin wave, from one waveguide to the other will not occur even if the spin-wave waveguides intersect each other. Accordingly, in the case of λ&lt;w, a layout whereby the spin-wave waveguides intersect each other is permissible. 
       FIG. 7  is a view showing one example of a layout of the full adder in the case where coupling of the spin-wave waveguides, with each other, is not permissible (λ&gt;w). A square part indicates the input terminal, and the primary information-recording part, respectively, and a rectangle connecting the square parts with each other indicates the spin-wave waveguide. Now, m (0, or π) that is overwritten to the spin-wave waveguide indicates which spin-wave waveguide has a length corresponding to what-hold wavelength of the spin wave. With the present embodiment, each portion of the figure, surrounded by a broken line, is an area where 1-bit calculation is executed. A 1 , B 1 , in the portion of the figure, surrounded by the broken line, on the left-hand side, are each an input terminal for receiving a binary digit value of a bit at the lowest order, while C 1  is an input terminal for receiving a binary digit value of the lowest carry. 
     An operation of the present operation circuit is described hereinafter. The circuit as a whole is supplied with a clock voltage for giving the same timing. An interval between the clock voltages is selectable according to a velocity of the spin wave, and if a distance from all the input terminals to the primary information-recording part, and a distance from all the input terminals to the output terminal are λ, and √{square root over (3)}λ, respectively, with, for example, λ=100 (nm), a group velocity of the spin wave will become 1×10 5  (m/s), and therefore, a clock interval is set to 10 −6  (m)/10 5  (m/s)*2=2×10 −9  (s), that is, around 0.2 ns, which is converted into frequency at 5 GHz, indicating that a high-speed operation action is enabled. 
     If this is applied to the example shown in  FIG. 7 , a difference between timing T 1  and timing T 2 , . . . , timing T 9  and timing T 10 , will become 0.2 ns. The operation in  FIG. 7  is hereinafter described on the basis of a table inserted in  FIG. 7 . First, information on least significant bit is recorded in A 1 , B 1 , and C 1 , respectively, at the timing T 1 . Next, the information is transmitted from A 1  to A 1 ′, from B 1  to B 1 ′, and from C 1  to C 1 ′ by means of the spin wave at the timing T 2 . In information transmission of B 1             B 1 ′, and C 1           C 1 ′, information  0  or  1 , as it is, is transmitted, however, in information transmission from A 1  to A 1 ′, the information  0  or  1  is reversed before being transmitted.
     Then, information is transmitted by means of the spin wave from C 1 ′ (one on the right side) to C 2  at the timing T 3 . C 1  information, as it is, is recorded in C 2  at this stage. Next, the information is transmitted from A 1  to O 1 , from B 1  to O 1 , and from C 1 ′ (on the right) to O 1 , from A 1 ′ to C 2 , and from B 1 ′ to C 2  by means of the spin wave at timing T 4 . The information recorded in O 1  is information pieces recorded in A 1 , B 1 , and C 1 , respectively, and if the information includes many “1s”, “1” is recorded, while if the information includes many “0s”, “0” is recorded. On the other hand, in information transmission from A 1 ′ to C 2  and from B 1 ′ to C 2  if information pieces of A 1 ′, and B 1 ′, respectively, are (0, 0), “0” is recorded, and if the information pieces are (1, 1), “1” is recorded, while if the information pieces are (1, 0 or 0.1), information immediately before C 2  is held. Thus, a truth table of the full adder shown in Table 4 is realized. 
     
       
         
               
               
               
               
               
             
           
               
                 TABLE 4 
               
               
                   
               
               
                 A1 
                 B1 
                 C1 
                 C2 
                 O1 
               
               
                   
               
             
             
               
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 0 
                 0 
                 1 
                 0 
                 1 
               
               
                 0 
                 1 
                 0 
                 0 
                 1 
               
               
                 0 
                 1 
                 1 
                 1 
                 0 
               
               
                 1 
                 0 
                 0 
                 0 
                 1 
               
               
                 1 
                 0 
                 1 
                 1 
                 0 
               
               
                 1 
                 1 
                 0 
                 1 
                 0 
               
               
                 1 
                 1 
                 1 
                 1 
                 1 
               
               
                   
               
             
          
         
       
     
     Next, the information of C 2  in the left block is transmitted to C 2  in the block adjacent thereto by means of the spin wave at timing T 5 , thereby reading the information of O 1 . 
     Thereafter, by repeating respective actions shown in the table of  FIG. 7  at timing T 6  through T 10 , the 2-bit-th digit from the least significant bit can be added exactly in the same way. If this operation is repeated N times thereafter, it is possible to obtain a calculation result of (N+1) bits such as (01, 02, . . . , 0N, CN). 
       FIG. 8  is a view showing one example of a layout of the full adder in the case where coupling of the spin-wave waveguides, with each other, is permissible (λ&lt;w). As is the case with  FIG. 7 , a square part indicates the input terminal, and the primary information-recording part, respectively, and a rectangle connecting the square parts with each other indicates the spin-wave waveguide. Herein, m (0, or π) that is overwritten to the spin-wave waveguide indicates which spin-wave waveguide has a length corresponding to what-hold wavelength of the spin wave. With the present embodiment, each portion of the figure, surrounded by a broken line, is an area where 1-bit calculation is executed. A 1 , B 1 , in the portion of the figure, surrounded by the broken line, on the left-hand side, are each an input terminal for receiving a binary digit value of least significant bit, while C 1  is an input terminal for receiving a binary digit value of least significant carry. The present operation in detail is as shown in a table in the lower part of  FIG. 8 , being basically the same as in the case of  FIG. 7 . 
       FIG. 9  is view showing a characteristic of the spin wave propagating through the spin-wave waveguide according to the invention. If the wavelength λ of the spin wave is longer than 1 μm, the frequency of the spin wave becomes substantially constant. Accordingly, as the wavelength becomes longer, so a velocity (group velocity) at which the spin wave propagates through the waveguide increases little by little. If the wavelength of the spin wave becomes shorter than 1 μm, two modes of waves show up, including a surface spin wave indicated by a broken line in  FIG. 9 , and a switched connection spin wave indicated by a solid line in  FIG. 9 . In the case of the latter, as the wavelength λ of the spin wave becomes shorter, so an increase in frequency occurs, and enhancement in group velocity as well continues. In order to reduce an area of the spin wave operation circuit, it is effective to reduce the wavelength of the spin wave, rendering it possible to achieve enhancement in the velocity of the spin wave, that is, reduction in delay time. Therefore, reduction in the wavelength of the spin wave represents a means for significantly enhancing the performance of the operation circuit, including reduction in delay, and reduction in circuit area. Meanwhile, it can be said that if material as well as structure of a spin-wave waveguide is properly selected, this will enable a desirable operation circuit to be realized. 
     Second Embodiment 
       FIG. 10  is a schematic diagram showing a second embodiment of a spin-wave waveguide according to the invention. Reference numeral  1001  denotes an electrode,  1002  an insulating film,  1003  a ferromagnetic film having magnetic anisotropy within a film surface,  1004  a ferromagnetic film making up a spin-wave waveguide, and  1005  a substrate film. Reference numeral  1006  denotes an information input part,  1007  a primary information-recording part, and  1008  an information regeneration part. At  1008 , the ferromagnetic film  1003  is substituted for the electrode  1001 , and the primary information-recording part  1007  serves as the so-called ferromagnetic tunneling junction (MTJ). 
     In  FIG. 10 , a region  1006  is linked with the waveguide part  1004  where a direction of the easy axis of magnetization is perpendicular to the film surface via the same constituent material although the easy axis of magnetization of the ferromagnetic film  1003  is oriented in the longitudinal direction, so that a magnetization direction in the region  1006  is oriented between the longitudinal direction and the perpendicular direction without being fully oriented in the longitudinal direction. In the spin-wave waveguide part  1004 , the magnetization direction is oriented in the perpendicular direction. In a region  1007  for provisionally recording information, a magnetization direction is identical to that in the region  1006 . In a region on the right side of  1006 , a magnetization direction is oriented in the perpendicular direction. In a ferromagnetic film in the lower part of a region  1008 , a magnetization direction is identical to that in the regions  1006 ,  1007 , respectively. A magnetization direction of the ferromagnetic film  1003  in the upper part of the region  1008  is fully oriented in the longitudinal direction. 
     Now, constituent materials for use in the present embodiment are described in detail. For a constituent material of the spin-wave waveguide part  1004 , use is made of an alloy containing any element selected from the group consisting of Co, Fe, and Ni, or a plurality of elements selected therefrom, and any element selected from the group consisting of Pt, and Pd, an alternate-stacked film comprised of any element selected from the group consisting of Co, Fe, and Ni, or a plurality of elements selected therefrom, Pt, and Pd, or an alternate-stacked film comprised of Co, or Fe, or an alloy containing Co, or Fe, and Ni. For the ferromagnetic film having magnetic anisotropy in the longitudinal direction, use is made of, for example, the CoFeB film presently receiving attention, as the MTJ material that realizes a high tunneling magnetic resistance (TMR) ratio, or an alloy comprised of Co, and Fe, without containing B. In this case, the CoFeB film, or the CoFe film need to have a thickness larger than the critical film-thickness such that the magnetic anisotropy of the ferromagnetic film is oriented in the longitudinal direction, as described in the case of the first embodiment. 
     Further, for the insulating film  1002 , use was made of MgO. The type of the insulating film is not limited to the MgO film, and for the insulating film, use can be made of an oxide, a nitride, and an oxynitride, containing at least one element selected from the group consisting of, for example, Al, Zn, Ti, Zr, Ni, SI, and Fe. With the present embodiment, Al was used as the constituent material of the electrode  1001 ; however, a metal small in resistivity, other than Al, such as Cu, Au, Ag, or an alloy thereof, is preferably used. 
     Otherwise, by inserting a thin metal film (not shown) made of Ru, Ir, and so forth between the ferromagnetic film  1003  and the perpendicularly magnetized film  1004 , the ferromagnetic film  1003  can be coupled to the perpendicularly magnetized film  1004  by the agency of a bonding force with exchange interaction via the metal film made of Ru, Ir, and so forth. In such a case, a crystal structure of the ferromagnetic film  1003  can be selected regardless of a crystal structure of the substrate film  1004 , and in the case where the CoFeB film is used for the ferromagnetic film  1003 , in particular, the CoFeB film can be turned into an amorphous structure high in quality immediately after film-formation, so that the MgO film growing on the CoFeB film can be turned into a (001) orientation film high in quality, whereupon a threshold voltage at switching caused by an electric field can be reduced, and the TMR ratio of the detection part  1008  can be enhanced. 
     Use of a structure according to the second embodiment of the invention has a merit in that material having optimum spin-wave propagation characteristic can be selected for the perpendicularly magnetized film  1004 , and material optimum for magnetization switching by an electric field, or excitation of a spin wave can be selected for the insulating film  1002 , and the ferromagnetic film  1003  having the longitudinal magnetic anisotropy. Further, the perpendicularly magnetized film  1004  can be optimally designed so as to have a thickness small in spin-wave propagation loss. Thus, it is possible to considerably expand a scope of a specification applicable to the present spin-wave waveguide.