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î{´pxªðõdqªõiAngle­Resolved

Photo­Emission

Spectroscopy: ARPESjÍCÅÌàÌdqðCõdøÊÅOÉæèoµÄ¼ÚIÉÏª·éÀ±è@ÅéBFig. 1É¦·æ¤ÉCãNõÌGlM[ hn ðÅèµÄCõdFig. 1(Color online) Schematic of ARPES experiments, where thein­plane momentum is conserved, and the kinetic energy,
Ekin, and emission angle, c, of a photoelectron are measured.

úËõ May 2013 Vol.26 No.3  145(C) 2013 The Japanese Society for Synchrotron Radiation ResearchÆÈèCk ª±o³êéB±±ÅCG ÍÊ¼ûüÌtiqxNgð\·BÅÌàÌ^®GlM[Ì¼zIÈ´_Ì[³ V0 ÍCà|eVÆÄÎêéB2.2áGlM[úËõÌpªð\ ARPES À±É¨¯éãNõÌLÍÈIðÆµÄC5ahna15 eV öxÌáGlM[úËõª°çêéBêÊÉCªõû®ª¯¶ÅêÎCõÌGlM[ÍCGlM[ÌâÎlÉ¨¨ÞËäá·éB]ÁÄC
áGlM[úËõ ARPES ÍCÀ±ÌGlM[ªð\ðã°â·¢BÜ½CãNõÌGlM[ hn ªá¢ÆC(1)®æèõdqÌ^®GlM[ Ekin àáº·éÌÅC(2)®æèõdqÌúopx c ªLªéBÂÜèCdqªÍíÌpxªð\ cres ª¯¶ÅàCãNõÌGlM[hn ðº°éÆC^®Êªð\ kres ªüã·éB½¾µC»ÌãÆµÄCÏªÂ\È^®ÊÍÍª·­ÈéªCúËõÅ

Fig. 2 (Color online) Schematic of the ARPES experiment, which
serves as a probe of quasiparticles.

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1v|ek|S(k, v)(6)JèñÅCÐÆÂÌfãNÆµÄµ¤±ÆªÅ«éB±êð±qÆÄÔBARPES À±ÅÍCÜ³É±Ì±qüÍÆÌÝìpÉæéøÊðC±q©gÌGlM[ãNÌGlM[Æ^®ÊðÏªµÄ¢éiFig. 2jBªÆµÄ¶ß½Ö S(k, v) ÍC©ÈGlM[ÆÄð\»ÌiWÉæÁÄC±qÉJèÜê½½ÌøÊðÎêéB±qÌXyNgÖÍC(4)®Æ(6)®æèCÚ×ÉÏªÅ«éæ¤ÉÈèCARPES ÍC½ÌÝìpðdqÌ¤©ç²×é±ÆªÅ«é­ÍÈèiÆÈÁ½B
±qãNÌÔ­WÍCxO[Ö GR (k, t)ÉæÁÄLq³êéB±êðüg\¦µ½ GR(k, v) ÌªªCARPES À±ÅÏª³êéXyNgÖ146  úËõ May 2013 Vol.26 No.3A(k, v)|1Im S(k, v)
p [v|ek|Re S(k, v)]2{[Im S(k, v)]2(7)ÁW ¡ áGlM[úËõpxªðõdqªõÉæéº_»¨·´`±ÌÌ¤ÌiWÆÈéÌÅCûö® v|ekRe S(k, v) Ìð v ªC±
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Curve: MDCjÉÂ¢Äl¦éBMDC Ìs[NªÎÌIÈ`ðµÄ¢êÎC©ÈGlM[Ì k Ë¶«ð³Å«éBÜ½CÌdqÌªUð¼üÅßµCekn0k Æ¨­B±ÌÆ«C(7)®æèCMDC Ìs[NÌÊu k(v)Æ¼l¼ Dk(v) Í1[v|Re S(v)],n0(8)

11Im S(v)
2ln0(9)k(v)

Dk(v)|Fig. 3(Color online) (a) Momentum distribution curves (MDCs)
taken with hn7.0 and 7.95 eV along the nodal direction of
the superconducting gap for optimally­doped Bi2212. (b)_(c) Energy­momentum plot of ARPES intensity. (d) Nodal
cut in momentum space. (e) Scattering rates of bonding
band (BB) and antinonding band (AB) from Ref. 6. (f)Zhang­Rice singlet. (g) Crystal structure of Bi2212.

Fig. 4(Color online) Nodal quasiparticles for UD66 (underdoped,Tc66 K), OP91 (optimally­doped, Tc91 K), and OD80
(overdoped, Tc80 K) samples of Bi2212, taken from Ref.
(c) Energy­momentum plot of ARPES intensity. (d)8. (a)_MDCs at v0. (e) Energy distribution curves (EDCs) at kBB
kABF . (f) Inverse Fermi velocities of BB and AB, 1/nF and,andmomentum­to­energy
ratioofbilayer­splitting
1/nAB
Fwidth, kBS/vBS.

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3(a)_(c)É¦·BBi2Sr2CaCu2O8{diBi2212jnÌº_»¨·´`±Ìð¿Ép¢Ä¾çê½B´`±Mbv
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Bi2212Ì CuO2 ÊÍñdÉÈÁÄ¢éÌÅCdqóÔª¬¬µÄohiBBjÆ½ohiABjÉªô·éBFig. 3(f)É¦·æ¤ÉCm[hûüÅÍCdx |y ÌÎÌ22«ðàÂóÔÍ Cu Ì s O¹Æ¬¬Å«È¢½ßñdwªôªÅ¬ÉÈéBÜ½CFig. 3(a)_(c)ÌÊÍIÈ hnË¶«ð¦µÄ¢éBhn7.95 eV ÅÍ BB Æ AB ªÏª³êéªChn7.0 eV ÅÍ BB ªÁ¦ AB ÌÝªÏª³êéBúËõÌGlM[ hn ðÅK»µCBB Æ AB ðªðµ½ãÅ¯ÉÏªµ½ÊCFig. 3(e)É¦·æ¤ÉCBB ÌUm¦ª AB æèá­}¦çêÄ¢é±Æª»¾µ½6)B±êÍCåvÈU¹ªñd CuO2 wÌO¤É
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èµC»ÌX«ÆµÄtF~¬x n BBF ¨æÑ n F ðUðCFig. 4(a)_(c)É¦·8) B·×ÄÌz[ZxÅCv]¿µ½ÊCFig. 4(f)É¦·æ¤ÉCÇ¿çÌtF~q65 meV ÌªUÉå«ÈLNªÏª³êéªCs«¬xàCs«h[vÅµ­áºµÄ¢½B±ÌtF~úËõ May 2013 Vol.26 No.3  147

¬xÌÏ»ÍCñdwªôÌÉàCÍÁ«èÆ»êÄ¢éBFig. 4(d)_(e)É¦·æ¤ÉC^®ÊÌªô kBS Íz[ZxÌ¸­ÆÆàÉ­µÃÂ·ÜéªCGlM[Ìªô vBS ÍÅKh[v©çs«h[vÉ©¯Ä}
É·­ÈéB]ÁÄCªôÌä vBS /kBS àÜ½Cs«Ã¯Ä¢émFig. 4h[vÉæétF~¬xÌáºð(fjnB±êÍC©ÂÄñ¥³êÄ¢½tF~¬xÌÕ«©çOêé®Åè14) C´`±©ç½­¥«âÌÖÌ]Ú_Éü©ÁÄ±qÌLø¿Êªå·é±Æð¦µÄ¢éB±Ì¿ÊåÌµ­Ýðð·é½ßÉÍCßÉ¦·æ¤ÉClXÈ½ÌøÊÉæéLø¿ÊÖÌñ^ðªðµÄèÊ»·éKvªéBFig. 54. ­xÌGlM[ªz(Color online) Simulation for a single coupling mode. (a)Eliashberg coupling function, a2F(v), dispersion, k(v),and momentum width, Dk(v). (b) Real and imaginaryparts of 1{l(v). (c) Diagram of electron­boson interac­tion.

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148  úËõ May 2013 Vol.26 No.3

ÁW ¡ áGlM[úËõpxªðõdqªõÉæéº_»¨·´`±ÌÌ¤ÌiWFig. 6(Color online) Nodal quasiparticle properties taken from Ref. 8. (a) Dispersions, k(v). (b) Inverse group veloc­
ities, 1/ng(v)dk/dv. (c) Dierential scattering rates, |Im l(v)/n0, deduced from Kramers­Kronig trans­
form (KKT) of |dk/dv. (d) Inverse group velocities at Fermi level, 1/nF, and at 40 meV, 1/n40, and partial
coupling constants, l/n0, deduced from KKT of dk/dv. (e) MDC width, Dk(v), excluding instrumental resolu­
tion. (f) Dierential scattering rates, |Im l(v)/n0, directly determined from |(d/dv)Dk(v). (g) Partial
coupling constants, l/n0, deduced from (d/dv)Dk(v). (h)_(i) Strong and weak electron­phonon couplings at
low and high hole concentrations, respectively.

NÆ^®Ê Dk(v) Ìi·ª¶¶C»êÉ]ÁÄCRe

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J. D. Bednorz and K. A. Muller: Z. Phys. B 64, 189 (1986).
J. Bardeen, L. N. Cooper and J. R. Schrieer: Phys. Rev.
108, 1175 (1957).
H. Matsui et al.: Phys. Rev. Lett. 90, 217002 (2003).
A. Lanzara et al.: Nature 412, 510 (2001).
M. P. Seah and W. A. Dench: Surf. Interface Anal. 1, 2(1979).
T. Yamasaki et al.: Phys. Rev. B 75, 140513 (2007).
S. Ideta et al.: Phys. Rev. Lett. 104, 227001 (2010).
H. Anzai et al.: Phys. Rev. Lett. 105, 227002 (2010).
H. Eisaki et al.: Phys. Rev. B 69, 064512 (2004); H. Hobou etal.: Phys. Rev. B 79, 064507 (2009).
J. D. Rameau et al.: Phys. Rev. B 80, 184513 (2009).
N. C. Plumb et al.: Phys. Rev. Lett. 105, 46402 (2010).
I. M. Vishik et al.: Phys. Rev. Lett. 104, 207002 (2010).
S. Johnston et al.: Phys. Rev. Lett. 108, 166404 (2012).
X. J. Zhou et al.: Nature 423, 398 (2003).
X. J. Zhou et al.: Phys. Rev. Lett. 95, 117001 (2005).
W. Meevasana et al.: Phys. Rev. Lett. 96, 157003 (2006).
T. Valla: Phys. Rev. Lett. 96, 119701 (2006); X. J. Xhou etal.: Phys. Rev. Lett. 96, 119702 (2006).
G. D. Mahan: Many­Particle Physics, 2nd ed. (Plenum, NewYork, 1981), pp. 663_665.
A. V. Puchkov, D. N. Basov and T. Timusk: J. Phys. Con­
dens. Matter 8, 10049 (1996); J. Hwang, T. Timusk and G.
D. Gu: ibid. 19, 125208 (2007).
J. W. Alldredge et al.: Nature Phys. 4, 319 (2008).
K. McElroy et al.: Phys. Rev. Lett. 94, 197005 (2005).
N. N. Kovaleva et al.: Phys. Rev. B 69, 054511 (2004).
M. L. Kuli ác: Phys. Rep. 338, 1 (2000); M. L. Kuli ác and O. V.
Dolgov: Phys. Rev. B 76, 132511 (2007).
T. Cuk et al.: Phys. Rev. Lett. 93, 117003 (2004).
P. Dai et al.: Science 284, 1344 (1999).
H. Iwasawa et al.: Phys. Rev. Lett. 101, 157005 (2008).

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150  úËõ May 2013 Vol.26 No.3ÒÐîäì¾mLåwåw@w¤ÈE­mail: inohiroshima­u.ac.jpêåFõdqªõCÅÌ¨mªðn
1999Nåwåw@wn¤È¨wêUmÛöC¹CmiwjB¯NC
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2001NLåwúËõÈw¤Z^[¤õB2003Næè»EBÁW ¡ áGlM[úËõpxªðõdqªõÉæéº_»¨·´`±ÌÌ¤ÌiWProgress in the study of high­T c cuprates
with low­energy synchrotron­radiation
angle­resolved photoemission
Akihiro INO
Abstract

Graduate School of Science, HIroshima University,
1_3_1 Kagamiyama, Higashi­Hiroshima 739_8526, Japan

Many­body eects on electrons are essential to the machanism of supercondutivity. Using low­energy synchrotron radiation for angle­resolved photoemission study of high­T c cuprates, onends that the spectrum depends strongly on excitation­photon energy and shows sharp quasipar­
ticle peaks. This made progress in comprehensive quasiparticle analysis, providing us with theenergy distribution of the many­body eects as an important clue to understanding the high­T c su­
perconductivity.

úËõ May 2013 Vol.26 No.3  151