Patent Publication Number: US-2020285146-A1

Title: Imprint system, replica mold manufacturing apparatus, and article manufacturing method

Description:
BACKGROUND OF THE INVENTION 
     Field of the Invention 
     The present invention relates to an imprint system, a replica mold manufacturing apparatus, and an article manufacturing method. 
     Description of the Related Art 
     An imprint apparatus has attracted attention as a new pattern forming apparatus for manufacturing semiconductor devices. The imprint apparatus cures an imprint material on a substrate such as a silicon wafer or a glass plate while the imprint material is in contact with a mold, and separates the mold from the cured imprint material, thereby forming a pattern of the imprint material on the substrate. 
     In the imprint apparatus, it is important to adjust the contact state between the mold and the imprint material on the substrate in order to reduce the shape difference between the mold and the substrate, or to reduce the distortion of the mold pattern (for example, see Japanese Patent Laid-Open No. 2013-055327). 
     The imprint technique can also be utilized for a technique of manufacturing a replica mold using a master mold (for example, see Japanese Patent Laid-Open No. 2018-098306). 
     When the contact state between the mold and the imprint material on the substrate is adjusted to reduce the shape difference between the mold and the substrate, the imprint material may be extruded to the outside of a shot region of the substrate depending on the adjustment amount. If the imprint material is extruded into an adjacent region, there is a possibility that when performing an imprint process on the adjacent region, the mold gets on the imprint material that has extruded out so a proper imprint process cannot be performed. In addition, the imprint material that has extruded out may adhere to the mold, which may affect the next imprint process. 
     On the other hand, if the contact state between the mold and the imprint material on the substrate is adjusted so as not to cause such extrusion, the overlay accuracy between the mold and the shot region may be deteriorated. 
     SUMMARY OF THE INVENTION 
     The present invention provides an imprint system advantageous in, for example, both suppression of extrusion of an imprint material and the overlay accuracy between a mold and a substrate. 
     The present invention in its one aspect provides an imprint system comprising a replica mold manufacturing apparatus configured to manufacture a replica mold which is a replica of a master mold by performing a first imprint process of bringing the master mold into contact with an imprint material on a blank mold to form a pattern of the imprint material, an imprint apparatus configured to perform a second imprint process of bringing the replica mold manufactured by the replica mold manufacturing apparatus into contact with an imprint material on a shot region of a substrate to form a pattern of the imprint material, and a controller configured to control a first imprint condition that is an imprint condition of the first imprint process and a second imprint condition that is an imprint condition of the second imprint process, wherein the controller corrects the first imprint condition based on an overlay state between the pattern formed on the shot region by the second imprint process and the shot region. 
     Further features of the present invention will become apparent from the following description of exemplary embodiments (with reference to the attached drawings). 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         FIG. 1  is a view showing the arrangement of an imprint system according to an embodiment; 
         FIG. 2A  is a view showing the arrangement of a mold imprint apparatus according to the embodiment; 
         FIG. 2B  is a view showing the arrangement of a substrate imprint apparatus according to the embodiment; 
         FIG. 3A  is a flowchart showing an imprint operation performed by the mold imprint apparatus according to the embodiment; 
         FIG. 3B  is a flowchart showing an imprint operation performed by the substrate imprint apparatus according to the embodiment; 
         FIGS. 4A to 4D  are views for explaining extrusion of an imprint material; 
         FIGS. 5A and 5B  are views each showing an example of deformation of a pattern region of a replica mold; 
         FIGS. 6A and 6B  are flowcharts showing the operation of the imprint system according to the embodiment; 
         FIG. 7  is a flowchart showing an example of mold imprint condition setting processing according to the embodiment; 
         FIGS. 8A and 8B  are views showing examples of a plurality of types of master molds; 
         FIG. 9  is a flowchart showing an example of substrate imprint condition setting processing according to the embodiment; and 
         FIG. 10  is a view for explaining an article manufacturing method according to the embodiment. 
     
    
    
     DESCRIPTION OF THE EMBODIMENTS 
     Hereinafter, embodiments will be described in detail with reference to the attached drawings. Note, the following embodiments are not intended to limit the scope of the claimed invention. Multiple features are described in the embodiments, but limitation is not made an invention that requires all such features, and multiple such features may be combined as appropriate. Furthermore, in the attached drawings, the same reference numerals are given to the same or similar configurations, and redundant description thereof is omitted. 
     In this specification and the attached drawings, directions are indicated in an XYZ-coordinate system in which an XY plane is set to be parallel to the surface of a substrate. Directions parallel to the X-axis, the Y-axis, and the Z-axis are referred to as the X direction, the Y direction, and the Z direction, respectively. Reference symbols θx, θy, and θz denote the rotation about the X-axis, the rotation about the Y-axis, and the rotation about the Z-axis, respectively. Control or driving related to the Z-axis, the Y-axis, and the Z-axis represent control or driving performed in relation to a direction parallel to the X-axis, a direction parallel to the Y-axis, and a direction parallel to the Z-axis, respectively. Also, control or driving related to the θX-axis, the θY-axis, and the θZ-axis represent control or driving performed in relation to a rotation about an axis parallel to the X-axis, a rotation about an axis parallel to the Y-axis, and a rotation about an axis parallel to the Z-axis, respectively. In addition, a position is information that can be specified based on the coordinates of the X-axis, the Y-axis, and the Z-axis, and an orientation is information that can be specified based on the values of the θX-axis, the θY-axis, and the θZ-axis. Positioning represents controlling the position and/or the orientation. 
     Firstly, an overview of an imprint apparatus according to an embodiment will be described. The imprint apparatus is an apparatus that brings an imprint material supplied onto a substrate into contact with a mold and supplies curing energy to the imprint material to form a pattern of the cured material to which a concave-convex pattern of the mold is transferred. 
     As an imprint material, a curable composition (to be sometimes called an uncured resin) that is cured upon application of curing energy is used. As curing energy, electromagnetic waves, heat, or the like can be used. Electromagnetic waves can be, for example, light selected from the wavelength range of 10 nm or more and 1 mm or less, for example, infrared light, visible light, or ultraviolet light, or the like. A curable composition can be a composition that is cured by being irradiated with light or by being heated. Of these compositions, a photo-curable composition that is cured by being irradiated with light contains at least a polymerizable compound and a photopolymerization initiator, and may further contain a non-polymerizable compound or a solvent, as needed. A non-polymerizable compound is at least one type of compound selected from the group consisting of a sensitizer, hydrogen donor, internal mold release agent, surfactant, antioxidant, and polymer component. An imprint material supply apparatus can arrange an imprint material on a substrate in the form of droplets or islands or films formed from a plurality of droplets connected to each other. The viscosity (the viscosity at 25° C.) of the imprint material can be, for example, 1 mPa·s or more and 100 mPa·s or less. As a material for a substrate, for example, glass, ceramic, metal, semiconductor, or resin can be used. The surface of a substrate may be provided with a member made of a material different from that of the substrate, as needed. For example, a silicon wafer, a compound semiconductor wafer, silica glass, or the like is used as the substrate. 
     In an imprint technique, it is required to bring an imprint material supplied onto a substrate into direct contact with a mold (an original or a template). Repeated use of the mold accompanying such contact may cause deformation of the pattern of the mold. That is, the mold has a lifetime. Since the mold is generally expensive, the frequency of replacement should be as low as possible. Therefore, the original master mold is not used for a device manufacturing imprint process, but a replica mold manufactured by a master mold replication process is used in a device manufacturing imprint apparatus. 
       FIG. 1  is a view showing the arrangement of an imprint system  100  according to the embodiment. The imprint system  100  includes a mold imprint apparatus  10 M, a substrate imprint apparatus  10 W, and a management apparatus  20 . The mold imprint apparatus  10 M is a replica mold manufacturing apparatus that manufactures a replica mold which is a replica of a master mold. The mold imprint apparatus  10 M performs an imprint process (first imprint process) of bringing the master mold into contact with an imprint material on a blank mold to form a pattern of the imprint material, thereby manufacturing the replica mold. The substrate imprint apparatus  10 W (imprint apparatus) performs an imprint process (second imprint process) of bringing the replica mold manufactured by the mold imprint apparatus  10 M into contact with an imprint material on a substrate to form a pattern of the imprint material. The management apparatus  20  is communicably connected to the mold imprint apparatus  10 M and the substrate imprint apparatus  10 W, and controls the respective components of the both apparatuses  10 M and  10 W. In addition, the management apparatus  20  manages imprint process conditions and the like of the both apparatuses  10 M and  10 W. The management apparatus  20  can be implemented by, for example, a computer apparatus including a CPU and a memory. For example, as indicated by dashed lines in  FIG. 1 , the mold imprint apparatus  10 M and the substrate imprint apparatus  10 W are interconnected via the management apparatus  20  and a network line so that they can communicate with each other. In addition, the management apparatus  20  is communicably connected to an overlay inspection apparatus  101  via a network. The overlay inspection apparatus  101  may be included in the imprint system  100 , or may be arranged outside the system as shown in  FIG. 1 . 
       FIG. 1  shows one mold imprint apparatus  10 M and one substrate imprint apparatus  10 W, but a plurality of the mold imprint apparatuses  10 M and a plurality of the substrate imprint apparatuses  10 W may be arranged. Note that the mold imprint apparatus  10 M manufactures a replica mold from a master mold, but the master mold herein can include not only an original master mold but also a replica mold. That is, the mold imprint apparatus  10 M can manufacture another replica mold from one replica mold. 
     The replica mold manufactured by the mold imprint apparatus  10 M is processed by, for example, a processing machine (not shown) and then loaded into the substrate imprint apparatus  10 W. The substrate imprint apparatus  10 W performs an imprint process on a substrate using the loaded replica mold. The substrate having undergone the imprint process is loaded into a processing machine (not shown) for next processing. As least some of a plurality of substrates having undergone the imprint process are loaded into the overlay inspection apparatus  101  and an overlay inspection is performed therein. 
       FIG. 2A  is a view schematically showing the arrangement of the mold imprint apparatus  10 M. In the mold imprint apparatus  10 M, a mold head  3 M holds a master mold  1 M and positions the master mold  1 M. A stage  4 M holds a replica mold  2 M (blank mold) and positions the replica mold  2 M. A shape correcting unit  9 M (first shape correcting unit) corrects the shape of the master mold  1 M so as to reduce the shape difference between a shot region of the replica mold  2 M in which a pattern is to be formed and a pattern region  1   a M of the master mold  1 M. The mold imprint apparatus  10 M can further include a curing device  6 M that cures the imprint material, and a supply device  7 M that supplies the imprint material onto the shot region of the replica mold  2 M. 
     A concave portion (cavity) larger than the pattern region  1   a M is formed in the surface of the master mold  1 M opposite to the pattern region  1   a M. The upper part of the concave portion is sealed with a flat optical element  5 M, so that a closed space (first space) is formed between the master mold  1 M and the flat optical element  5 M. The flat optical element  5 M is formed by a light transmissive member such as silica glass. The pressure in the closed space formed in this manner can be adjusted by a pressure adjustment apparatus (not shown). By increasing the pressure in the closed space to be higher than the outside, the master mold  1 M can be elastically deformed such that the pattern region  1   a M of the master mold  1 M bends in a convex shape toward the replica mold  2 M to be processed. When the master mold  1 M is brought into contact with the imprint material on the replica mold  2 M while the pattern region  1   a M of the master mold  1 M bends in a convex shape toward the replica mold  2 M, the contact is started from the center of the pattern. As a result, it is possible to suppress air trapped between the imprint material and the master mold  1 M, and suppress generation of pattern defects due to unfilling of the imprint material. 
     In this embodiment, a pressure sensor PM is provided in the stage  4 M. The pressure sensor PM detects the pressure acting on the stage  4 M due to contact between the master mold  1 M and the imprint material on the replica mold  2 M. The pressure sensor PM functions as a sensor that detects the contact state between the master mold  1 M and the imprint material on the replica mold  2 M by detecting the pressure acting on the stage  4 M. Note that the pressure sensor PM may be provided in the mold head  3 M. 
     A controller  8 M controls the above-described respective components in the mold imprint apparatus  10 M. The controller  8 M can be formed from, for example, a PLD (Programmable Logic Device) such as an FPGA (Field Programmable Gate Array), an ASIC (Application Specific Integrated Circuit), a general-purpose computer installed with a program, or a combination of all or some of these components. In addition, the controller  8 M is communicably connected to the management apparatus  20  and managed/controlled by the management apparatus  20 . “Management/control” includes, for example, transmission/reception of sensor data, control data of the respective components, control parameters, and the like at the time of an imprint operation, and transmission of a control instruction from the management apparatus  20  to the mold imprint apparatus  10 M. Each of the mold imprint apparatus  10 M and the substrate imprint apparatus  10 W includes a receiving unit that receives data. For example, the mold imprint apparatus  10 M can receive data output from the substrate imprint apparatus  10 W via the management apparatus  20 . However, in the present invention, the existence of the management apparatus  20  separated from the mold imprint apparatus  10 M and the substrate imprint apparatus  10 W is not essential. Some or all of the functions of the management apparatus  20  may be implemented in the controller  8 M or a controller  8 W. Alternatively, some or all of the functions of the controller  8 M or the controller  8 W may be implemented in the management apparatus  20 . 
     The master mold  1 M can be made of, for example, a material such as quartz that can transmit ultraviolet light. The master mold  1 M includes the pattern region  1   a M on the surface facing the replica mold  2 M. The pattern region  1   a M includes an uneven pattern to be transferred to the imprint material supplied onto a shot region of the replica mold  2 M. The replica mold  2 M (blank mold) is made of, for example, a material such a quartz that can transmit ultraviolet light. The replica mold  2 M can be provided with an adhesion layer, as needed, in order to improve the adhesion between the imprint material and the replica mold  2 M. 
     The mold head  3 M includes a holding mechanism for holding the master mold  1 M and a driving mechanism for positioning the master mold  1 M. The master mold  1 M is held using, for example, vacuum suction, and driven using an actuator such as a linear motor. The mold head  3 M can be configured to drive the master mold  1 M in a plurality of axes (for example, three axes including the Z-, θX-, and θY-axes, or six axes including the X-, Y-, Z-, θX-, θY-, and θZ-axes). The driving mechanism of the mold head  3 M can perform driving for bringing the imprint material on the replica mold  2 M into contact with the pattern region  1   a M of the master mold  1 M. Further, the driving mechanism of the mold head  3 M can perform driving for separating the cured imprint material (a pattern of the cured product) from the master mold  1 M. Furthermore, the driving mechanism of the mold head  3 M may substitute the pressure sensor PM by calculating the driving force from a drive command value, for example, a command current value for the actuator used for the driving, and using the calculated driving force as a pressing force. 
     The stage  4 M includes a holding mechanism for holding the replica mold  2 M and a driving mechanism for positioning the replica mold  2 M. The replica mold  2 M is held using, for example, vacuum suction, and driven using an actuator such as a linear motor. The stage  4 M can be configured to drive the replica mold  2 M in a plurality of axes (for example, three axes including the Z-, θX-, and θY-axes, or six axes including the X-, Y-, Z-, θX-, θY-, and θZ-axes). 
     The shape correcting unit  9 M deforms the shape of the pattern region  1   a M of the master mold  1 M. The shape correcting unit  9 M can include, for example, a plurality of actuators (for example, piezoelectric elements) each of which applies a force to the side surface of the master mold  1 M. The shape correcting unit  9 M may include a deformation unit that deforms a shot region of the replica mold  2 M by heating the replica mold  2 M. 
     The supply device  7 M supplies (applies) the imprint material onto the replica mold  2 M. The imprint material is supplied onto the replica mold  2 M by discharging the imprint material from the supply device  7 M while moving the replica mold  2 M by the stage  4 M. The curing device  6 M cures the imprint material by supplying or applying energy (for example, light such as ultraviolet light) for curing the imprint material. Thus, a pattern made of a cured product of the imprint material is formed. 
       FIG. 2B  is a view schematically showing the arrangement of the substrate imprint apparatus  10 W. As can be seen from  FIGS. 2A and 2B , most of the arrangement is similar in the mold imprint apparatus  10 M and the substrate imprint apparatus  10 W, and their components correspond as follows. 
     A replica mold  1 W corresponds to the replica mold  2 M manufactured by performing the imprint process by the mold imprint apparatus  10 M. An object to be processed by the substrate imprint apparatus  10 W is not the replica mold  2 M but a substrate  2 W. A mold head  3 W that positions the replica mold  1 W corresponds to the mold head  3 M. A stage  4 W that holds and positions the substrate  2 W corresponds to the stage  4 M. A curing device  6 W that emits light for curing an imprint material corresponds to the curing device  6 M. A supply device  7 W that applies the imprint material to the substrate  2 W corresponds to the supply device  7 M. The controller  8 W that controls the respective components of the substrate imprint apparatus  10 W corresponds to the controller  8 M. A shape correcting unit  9 W (second shape correcting unit) that changes the shape of the replica mold  1 W corresponds to the shape correcting unit  9 M. A flat optical element  5 W for forming a closed space (second space) on the side opposite to a pattern region  1   a W of the replica mold  1 W corresponds to the flat optical element  5 M. A pressure sensor PW for detecting the pressure acting on the stage  4 W due to contact between the replica mold  1 W and the imprint material on the substrate  2 W corresponds to the pressure sensor PM. 
     As described above, the replica mold  1 W is manufactured by performing the imprint process by the mold imprint apparatus  10 M. The substrate  2 W is made of, for example, a material such as silicon. An object to be processed in the mold imprint apparatus  10 M is the replica mold  2 M, and the imprint process is performed on one region. On the other hand, in the substrate imprint apparatus  10 W, an object to be processed is the substrate  2 W, and the imprint process is sequentially performed on a plurality of shot regions formed on the substrate  2 W. The stage  4 W is configured to be able to hold the substrate  2 W. For example, vacuum suction is used for holding the substrate  2 W. 
     Next, with reference to  FIG. 3A , the sequence of an imprint operation in the mold imprint apparatus  10 M will be described. A control program according to this flowchart is stored in, for example, a memory in the controller  8 M, and can be executed by a processor in the controller  8 M. 
     First, in step S 101 , the replica mold  2 M is loaded into the mold imprint apparatus  10 M and held by the stage  4 M. In step S 102 , the supply device  7 M supplies an imprint material onto a shot region of the replica mold  2 M. In step S 103 , the controller  8 M drives the stage  4 M such that the replica mold  2 M is arranged below the master mold  1 M. In step S 104 , the mold head  3 M controls the Z-direction position of the mold head  3 M (that is, the master mold  1 M) such that the master mold  1 M is brought into contact with the imprint material supplied onto the replica mold  2 M. At this time, the contact state between the master mold  1 M and the imprint material on the replica mold  2 M is monitored using the detection result of the pressure sensor PM. By this contact, the imprint material is filled between the master mold  1 M and the replica mold  2 M. After the filling is completed, the process advances to step S 105 . 
     In step S 105 , the curing device  6 M irradiates the imprint material with light to cure the imprint material. In step S 106 , the mold head  3 M controls the Z-direction position so as to separate the master mold  1 M from the imprint material (mold separation). After the separation is completed, the replica mold  2 M is unloaded from the mold imprint apparatus  10 M in step S 107 . 
     Next, with reference to  FIG. 3B , the sequence of an imprint operation in the substrate imprint apparatus  10 W will be described. A control program according to this flowchart is stored in, for example, a memory in the controller  8 W, and can be executed by a processor in the controller  8 W. 
     First, in step S 201 , the substrate  2 W is loaded into the substrate imprint apparatus  10 W and held by the stage  4 W. In step S 202 , the supply device  7 W supplies an imprint material onto a shot region of the substrate  2 W. In step S 203 , the controller  8 W drives the stage  4 W such that the shot region of the substrate  2 W is arranged below the replica mold  1 W. In step S 204 , the mold head  3 W controls the Z-direction position of the mold head  3 W (that is, the replica mold  1 W) such that the replica mold  1 W is brought into contact with the imprint material applied on the shot region of the substrate  2 W. At this time, the contact state between the replica mold  1 W and the imprint material on the substrate  2 W is monitored using the detection result of the pressure sensor PW. By this contact, the imprint material is filled between the replica mold  1 W and the substrate  2 W. After the filling is completed, the process advances to step S 205 . 
     In step S 205 , the curing device  6 W irradiates the imprint material with light to cure the imprint material. In step S 206 , the mold head  3 W controls the Z-direction position so as to separate the replica mold  1 W from the imprint material (mold separation). After the separation is completed, the controller  8 W determines in step S 207  whether there is a shot region to undergo the imprint process next on the substrate  2 W. If there is a shot region to undergo the imprint process next, the process returns to step S 202  and the process is repeated for the next shot region. On the other hand, if it is determined in step S 207  that there is no shot region to undergo the imprint process next, the process advances to step S 208 , and the substrate  2 W is unloaded from the substrate imprint apparatus  10 W. 
     Next, with reference to  FIGS. 4A to 4D , extrusion of the imprint material caused by the contact between the replica mold  1 W and the imprint material on the substrate  2 W will be described.  FIG. 4A  is an X-Z sectional view of the replica mold  1 W, the substrate  2 W, and the imprint material after the contact in step S 204 . The hatched portion represents the imprint material. The replica mold  1 W is being pressed in the direction of the substrate  2 W by the mold head  3 . The pressing force at this time is indicated by arrows F.  FIG. 4A  shows an enlarged view of a corner portion A of the imprint material. When the replica mold  1 W is pressed against the substrate  2 W in the Z direction with the pressing force indicated by the arrows F, the pressure of the imprint material increases, and the imprint material expands to the surroundings (in the X-Y plane direction). This may cause the imprint material to extrude to the outside of the imprint region. The extrusion amount of the imprint material changes depending on the pressing force. In addition, the extrusion amount of the imprint material can change depending on the supply amount or supply method of the imprint material by the supply device  7 W. If the imprint material is cured in step S 205  with the imprint material extrusion out of the imprint region, the following problem occurs. 
     When subsequently performing the imprint process on the imprint regions on the substrate  2 W, if the imprint process is performed on a shot region with the extruded imprint material, the replica mold  1 W is placed on the extruded imprint material. Therefore, the imprint process may not be performed in a normal state. If the imprint process is not performed in a normal state, the region becomes defective and there is a risk that the yield will be reduced. 
     Each of  FIGS. 4B to 4D  shows another example in which the imprint material can extrude out due to the contact between the replica mold  1 W and the imprint material on the substrate  2 W. As shown in  FIG. 4B , when there is an inclination (tilt) between the replica mold  1 W and the substrate  2 W, extrusion of the imprint material can also occur. Further, as shown in  FIG. 4C , extrusion of the imprint material can occur by changing the pressure (cavity pressure) in the closed space formed on the back side of the pattern region  1   a W of the replica mold  1 W. Furthermore, as shown in  FIG. 4D , even when a force (shape correcting force) is applied to the side surfaces of the replica mold  1 W by the shape correcting unit  9 W, the replica mold  1 W is deformed downward and extrusion of the imprint material can occur. 
     The effect of changing the pressing force is not only extrusion of the imprint material. Since the replica mold  1 W is elastically deformed by the pressing force, the pattern region  1   a M of the replica mold is also deformed.  FIG. 5A  shows an example of the deformation of the pattern region  1   a W of the replica mold  1 W in the X-Y plane direction caused by the pressing force. The shape before the deformation is indicated by a solid line, and the shape after the deformation caused by the pressing force is indicated by a broken line. The shape of the pattern region  1   a M before the deformation ideally matches the shape of the shot region. However, the corner portions of the pattern region  1   a M are deformed by the pressing force. Similarly, a tilt causes elastic deformation of the replica mold  1 W, so that the pattern region  1   a W of the replica mold  1 W is also deformed.  FIG. 5B  shows an example of the deformation of the pattern region  1   a W of the replica mold  1 W in the X-Y plane direction caused by a tilt around the Y-axis. The shape before the deformation is indicated by a solid line, and the shape after the deformation caused by the tilt is indicated by a broken line. As can be seen, large deformation occurs in the corner portions due to the tilt. By controlling each of the pressing force, the tilt, and the cavity pressure, the overlay accuracy between the mold and the substrate can be improved. 
     As has been described above, each of the pressing force, the inclination amount, the cavity pressure, and the shape correcting force is a parameter that influences both extrusion and overlay. However, the pressing force adjusted so as not to cause extrusion is not necessarily optimal in terms of the overlay accuracy. For example, if the pressing force is adjusted so as not to cause extrusion, the overlay accuracy can be deteriorated. In the imprint system according to this embodiment, both suppression of extrusion and the overlay accuracy are achieved.  FIGS. 6A and 6B  are flowcharts showing the operation of the imprint system  100  according to this embodiment. This operation is controlled by, for example, the management apparatus  20 . 
     In step S 301 , the master mold  1 M is loaded into the mold imprint apparatus  10 M. In step S 302 , mold imprint conditions, which are conditions of an imprint process performed by the mold imprint apparatus  10 M, are set. The mold imprint conditions can include a pressing force, an inclination amount, a cavity pressure, and a shape correcting force. The mold imprint conditions can further include a control parameter of the stage  4 M, a contact time (pressing time) between the master mold  1 M and the imprint material, and a light irradiation time (exposure amount) by the curing device  6 M. 
     In step S 303 , the mold imprint apparatus  10 M performs an imprint process (mold imprint process) as shown in  FIG. 3A  in accordance with the mold imprint conditions set in step S 302 . 
     In step S 304 , postprocessing for the replica mold is performed. The postprocessing includes etching or processing for making the replica mold  2 M with a pattern formed by the mold imprint apparatus  10 M ready for use as a replica mold. 
     In step S 305 , the replica mold manufactured in step S 304  is loaded into the substrate imprint apparatus  10 W. 
     In step S 306 , substrate imprint conditions, which are conditions of an imprint process performed by the substrate imprint apparatus  10 W, are set. The substrate imprint conditions can include a pressing force, a tilt, a cavity pressure, and a shape correcting force. The substrate imprint conditions can further include a control parameter of the stage  4 W, a contact time (pressing time) between the replica mold  1 W and the imprint material, and a light irradiation time (exposure amount) by the curing device  6 W. The details of substrate imprint condition setting processing in step S 306  will be described later. 
     In step S 307 , the substrate imprint apparatus  10 W performs an imprint process (substrate imprint process) as shown in  FIG. 3B  in accordance with the substrate imprint conditions set in step S 306 . 
     In step S 308 , it is determined whether the substrate processed in step S 307  is an overlay inspection target. A total inspection of the substrates may be performed, or a sampling inspection may be performed. The determination executed in step S 308  is for a sampling inspection. If the substrate processed in step S 307  is not an overlay inspection target, the process returns to step S 306 , and the process of the next substrate is performed. If the substrate processed in step S 307  is an overlay inspection target, the process advances to step S 309 . In step S 309 , the substrate  2 W is conveyed to the overlay inspection apparatus  101 , and an overlay inspection is performed on the substrate  2 W. With the overlay inspection, the overlay state between the pattern formed on the shot region and the shot region is obtained. Any overlay inspection method can be used. For example, a method in which marks for an overlay inspection are captured by a camera and image processing is performed to calculate the overlay accuracy can be used. 
     In step S 310 , it is determined, for example, based on the degree of achievement of the overlay accuracy obtained in step S 309  with respect to a target value, whether it is required to change the mold imprint condition or the substrate imprint condition. If the degree of achievement of the overlay accuracy with respect to the target value is sufficient, it is not required to change the imprint conditions. In that case, the process returns to step S 306 , and the process is repeated for the next substrate. On the other hand, if the degree of achievement of the overlay accuracy with respect to the target value is insufficient, the process advances to step S 311 . 
     In step S 311 , a calculation for optimizing the substrate imprint condition is executed based on the overlay inspection result in step S 309 . The purpose of the optimization is to determine the parameter such that the overlay state obtained in step S 309  falls within an allowable range (for example, so as to minimize the inspection result). The parameter can include at least one of the pressing force, the tilt, the cavity pressure, and the shape correcting force. The parameter can further include the control parameter of the stage  4 W and the control command value of the shape correcting unit  9 W. Note that as described above, each of the parameters of the pressing force, the tilt, the cavity pressure, the shape correcting force is a parameter that influences extrusion. Therefore, in step S 311 , a constraint condition is given to each of the pressing force, the tilt, the cavity pressure, and the shape correcting force so as not to influence extrusion, or these parameters are excluded from the optimization. A specific optimization calculation method may follow the method described in Japanese Patent Laid-Open No. 2013-055327. In this manner, the substrate imprint condition is set such that the overlay state falls within the allowable range under the constraint condition regarding extrusion. 
     For example, the controller can hold, as data, the influence of each parameter with respect to the overlay accuracy as shown in  FIGS. 5A and 5B , and calculate the substrate imprint condition by fitting the data with the overlay inspection result. 
     Next, in step S 312 , based on the calculation result in step S 311 , it is determined whether to change the substrate imprint condition. For example, an estimated value of the overlay accuracy is calculated from the calculation result in step S 311 , and the determination is executed by comparing the estimated value and a target value. If the estimated value is sufficiently close to the target value, it is not required to change the substrate imprint condition, and the process advances to step S 313 . If the estimated value is not sufficiently close to the target value, it is determined to change the substrate imprint condition, and the process advances to step S 316 . 
     In step S 313 , a calculation for optimizing the mold imprint condition is executed based on the overlay inspection result in step S 309 . The purpose of the optimization is to determine the parameter such that the overlay state obtained by the overlay inspection in step S 309  falls within the allowable range (for example, so as to minimize the overlay inspection result) without any extrusion constraint condition. The parameter can include the pressing force, the tilt, the cavity pressure, and the shape correcting force. The parameter can further include the control parameter of the stage  4 M and the control command value of the shape correcting unit  9 M. In the mold imprint apparatus  10 M, extrusion does not cause a problem. Therefore, a constraint condition on each of the pressing force, the tilt, the cavity pressure, and the shape correcting force can be set in a broader range than the constraint condition in step S 311 . Under such a condition, the optimization calculation can be executed in a manner similar to that in step S 311 . 
     Next, in step S 314 , it is determined whether to change the mold imprint condition based on the calculation result in step S 313 . If an improvement in overlay accuracy cannot be expected even if the mold imprint conditions are changed, the process returns to step S 306  and the process is repeated for the next substrate. On the other hand, if it is determined to change the mold imprint condition, the process advances to step S 315 . 
     In step S 315 , the calculation result of the mold imprint condition in step S 313  is set as the next mold imprint condition, and then the process returns to step S 302 . In step S 316 , the calculation result of the substrate imprint condition in step S 311  is set as the next substrate imprint condition, and the process returns to step S 306 . 
     The effect of the above-described operation of the imprint system  100  will be described. In step S 311 , the condition (substrate imprint condition) of the imprint process in the substrate imprint apparatus  10 W is corrected based on the overlay inspection result (step S 309 ). However, simply correcting the substrate imprint condition cannot sufficiently optimize the parameter such as the pressing force, the tilt, the cavity pressure, or the shape correcting force in terms of overlay accuracy due to the constraint for suppressing extrusion. Therefore, in step S 313 , the condition (mold imprint condition) of the imprint process in the mold imprint apparatus  10 M is corrected based on the overlay inspection result (step S 309 ) of the substrate  2 W processed by the substrate imprint apparatus  10 W. Here, as compared with the calculation in S 311 , the constraint on each of the pressing force, the tilt, the cavity pressure, and the shape correcting force is relaxed, which is advantageous in optimization calculation. Thus, the replica mold  1 W is manufactured into a shape that improves the overlay accuracy of the substrate  2 W which undergoes the imprint process in the substrate imprint apparatus  10 W. Therefore, an improvement in overlay accuracy can be expected. 
     Deformation caused by the pressing force, the tilt, or the like is typical in the corner portions as shown in  FIGS. 5A and 5B . This is not deformation such as, for example, a shift, a rotation, or a magnification that can be expressed by a simple mathematical expression, so that it is difficult to correct such a shape by the shape correcting unit  9 W. Accordingly, deformation caused by the pressing force or the tilt can be corrected by, for example, optimizing the pressing force or the tilt. In this embodiment, deformation generated in the substrate imprint apparatus  10 W caused by the pressing force, the tilt, or the cavity pressure of the substrate imprint apparatus  10 W can be corrected by changing the pressing force, the tilt, or the cavity pressure of the mold imprint apparatus  10 M. Therefore, it is possible to accurately correct the deformation caused by the pressing force or the tilt without any constraint for suppressing extrusion. 
       FIG. 7  is a flowchart showing an example of mold imprint condition calculation processing in step S 313  in this embodiment. 
     In step S 401 , the result of the overlay inspection executed in step S 309  is acquired. In step S 402 , the type of the master mold  1 M is acquired. In step S 403 , based on the type of the master mold  1 M acquired in step S 402 , correction data for the pressing force and the tilt is acquired or calculated. Thereafter, in step S 404 , a calculation for optimizing the mold imprint condition is executed using the correction data acquired in step S 403 . The optimization calculation can be executed in a manner similar to that in step S 311 . 
     The type of the master mold  1 M acquired in step S 402  will be described. Each of  FIGS. 8A and 8B  shows a state in which the master mold  1 M and the imprint material on the replica mold  2 M are in contact with each other (step S 104 ). The master mold  1 M in  FIG. 8A  is provided with a concave portion (cavity) on the surface opposite to the surface which contacts the imprint material. The master mold  1 M in  FIG. 8A  is typically a replica mold, and  FIG. 8A  assumes a situation in which another replica mold is manufactured from the replica mold. On the other hand, the master mold  1 M in  FIG. 8B  is flat without such a concave portion. That is, the master mold  1 M in  FIG. 8B  is typically an original master mold, and  FIG. 8B  assumes a situation in which a replica mold is manufactured from the original master mold. 
     When the pressing force F is applied to the master mold  1 M with the concave portion as shown in  FIG. 8A , the master mold  1 M is greatly elastically deformed as compared with the master mold without the concave portion as shown in  FIG. 8B . Therefore, the magnitude of deformation in the X-Y plane direction caused by the pressing force as described with reference to  FIG. 5A  differs between the master mold  1 M with the concave portion and the master mold  1 M without the concave portion. 
     The management apparatus  20  serving as a controller holds, in advance, data representing the relationship between the mold imprint condition and the overlay state, so that can correct the mold imprint condition based on the data. For example, in step S 402 , the management apparatus  20  acquires mold type information including information regarding the dimensions and shape of the master mold  1 M. For example, table data showing the relationship between the pressing force and the deformation for each mold type is acquired in advance by an experiment or simulation, and the management apparatus  20  holds the table data. In step S 403 , the management apparatus  20  refers to the table data, extracts data representing the relationship between the pressing force and the deformation corresponding to the mold type information acquired in step S 402 , and obtains correction data based on the extracted data. 
     The deformation caused by the pressing force has been described above, but the similar description can be applied to deformation caused by the tilt, the cavity pressure, or the shape correcting force. According to the embodiment described above, the imprint system  100  acquires information regarding the type of the master mold  1 M, and based on the information, a calculation for optimizing the mold imprint condition is executed. This makes it possible to correct the imprint conditions with higher accuracy and improve the overlay accuracy. 
     Next, the details of substrate imprint condition setting processing in step S 306  will be described with reference to  FIG. 9 . In the imprint system  100  according to this embodiment, the mold imprint condition may be changed when the replica mold  1 W is manufactured by the mold imprint apparatus  10 M. Therefore, the management apparatus  20  manages the mold imprint conditions applied to each of the used replica molds. Then, when the replica mold  1 W is loaded into the substrate imprint apparatus  10 W, the substrate imprint apparatus  10 W sets the substrate imprint conditions reflecting the mold imprint conditions corresponding to the replica mold  1 W. 
     In step S 501 , for example, the substrate imprint apparatus  10 W reads the tag of the loaded replica mold  1 W, and acquires information on the replica mold  1 W. Then, in step S 502 , the substrate imprint apparatus  10 W acquires, based on the information acquired in step S 501 , the mold imprint conditions used when the loaded replica mold  1 W has undergone the imprint process in the mold imprint apparatus  10 M. In step S 503 , the substrate imprint apparatus  10 W sets substrate imprint conditions based on the information acquired in step S 502 . More specifically, based on the information of the pressing force, the tilt, the cavity pressure, and the shape correcting force among the mold imprint conditions acquired in step S 502 , the substrate imprint apparatus  10 W estimates the deformation amount of the pattern region  1   a W of the loaded replica mold  1 W. Then, the substrate imprint apparatus  10 W sets the substrate imprint conditions so as to correct the estimated deformation amount. 
     &lt;Embodiment of Article Manufacturing Method&gt; 
     A pattern of a cured material formed by using an imprint apparatus is used permanently for at least some of various articles, or is used temporarily when manufacturing various articles. The articles include an electric circuit element, an optical element, a MEMS, a recording element, a sensor, and a mold. Examples of the electric circuit element are a volatile or nonvolatile semiconductor memory such as a DRAM, an SRAM, a flash memory, or an MRAM and a semiconductor element such as an LSI, a CCD, an image sensor, or an FPGA. An example of the mold is an imprinting mold. 
     The pattern of a cured material is used unchanged as a constituent member for at least some of the foregoing articles, or is temporarily used as a resist mask. The resist mask is removed after etching, ion implantation, or the like is performed in a substrate processing step. 
     Next, the article manufacturing method will be described. In step SA of  FIG. 10 , a substrate  1   z  which is a silicon substrate or the like on whose surface a processing target material  2   z  such as an insulator is formed is prepared, and next, an imprint material  3   z  is applied to the surface of the processing target material  2   z  by an ink-jet method. A state in which the imprint material  3   z  in the form of a plurality of droplets is applied onto the substrate is shown here. 
     As shown in step SB of  FIG. 10 , a side of an imprinting mold  4   z  on which its three-dimensional pattern is formed faces the imprint material  3   z  on the substrate. In step SC of  FIG. 10 , the substrate  1   z  to which the imprint material  3   z  has been applied and the mold  4   z  are brought into contact, and pressure is applied. Gaps between the mold  4   z  and the processing target material  2   z  is filled with the imprint material  3   z . When the imprint material  3   z  is irradiated with light as curing energy through the mold  4   z  in this state, the imprint material  3   z  is cured. 
     In step SD of  FIG. 10 , when the mold  4   z  and the substrate  1   z  are separated after the imprint material  3   z  is cured, a pattern of the cured material of the imprint material  3   z  is formed on the substrate  1   z . The pattern of this cured product has a shape such that the concave portion of the mold corresponds to the convex portion of the cured product, and the convex portion of the mold corresponds to the concave portion of the cured product; that is, the three-dimensional pattern of the mold  4   z  is transferred to the imprint material  3   z.    
     In step SE of  FIG. 10 , when the pattern of the cured material is etched as an etching resistant mask, portions out of the surface of the processing target material  2   z  where the cured material is not present or thinly remains are removed, and grooves  5   z  are achieved. In step SF of  FIG. 10 , when the pattern of the cured material is removed, it is possible to achieve an article in which the grooves  5   z  are formed on the surface of the processing target material  2   z . The pattern of the cured product is removed here; however, the pattern of the cured product may be used as, for example, an interlayer dielectric film included in the semiconductor element or the like, that is, the constituent member of the article without removing it after processing. 
     Other Embodiments 
     Embodiment(s) of the present invention can also be realized by a computer of a system or apparatus that reads out and executes computer executable instructions (e.g., one or more programs) recorded on a storage medium (which may also be referred to more fully as a ‘non-transitory computer-readable storage medium’) to perform the functions of one or more of the above-described embodiment(s) and/or that includes one or more circuits (e.g., application specific integrated circuit (ASIC)) for performing the functions of one or more of the above-described embodiment(s), and by a method performed by the computer of the system or apparatus by, for example, reading out and executing the computer executable instructions from the storage medium to perform the functions of one or more of the above-described embodiment(s) and/or controlling the one or more circuits to perform the functions of one or more of the above-described embodiment(s). The computer may comprise one or more processors (e.g., central processing unit (CPU), micro processing unit (MPU)) and may include a network of separate computers or separate processors to read out and execute the computer executable instructions. The computer executable instructions may be provided to the computer, for example, from a network or the storage medium. The storage medium may include, for example, one or more of a hard disk, a random-access memory (RAM), a read only memory (ROM), a storage of distributed computing systems, an optical disk (such as a compact disc (CD), digital versatile disc (DVD), or Blu-ray Disc (BD)™), a flash memory device, a memory card, and the like. 
     While the present invention has been described with reference to exemplary embodiments, it is to be understood that the invention is not limited to the disclosed exemplary embodiments. The scope of the following claims is to be accorded the broadest interpretation so as to encompass all such modifications and equivalent structures and functions. 
     This application claims the benefit of Japanese Patent Application No. 2019-043043, filed Mar. 8, 2019, which is hereby incorporated by reference herein in its entirety.