Abstract
In developing the theory of high-temperature superconductivity it is necessary to solve two problems which are of foremost importance and which are definitely interrelated: namely, what is the nature of the normal state for the electrons in the oxide compounds and what is the mechanism of the formation of the superconducting phase? While in conventional superconductors the picture of the Fermi liquid with a properly determined spectrum of quasi-particles near the Fermi surface is sufficiently well established, another mechanism for the formation of the ground state and of the spectrum of low-energy excitations is possible in copper-oxide compounds due to strong Coulomb correlations [7.1, 2]. Therefore, the Bardeen- Cooper-Schrieffer (BCS) theory of pairing which works perfectly well for the system of weakly bounded quasi-particles in conventional metals, can be of no use for the system of electrons with strong correlation, the interactions of which are not described by a quasi-particle picture.
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References
P.W.Anderson: Science 235 (1987) 1196; In Frontiers and Borderlines in Many-Particle Physics, Intl. School of Physics “Enrico Fermi”, Course CIV, ed. by R.A. Broglia and J.R. Schrieffer ( North-Holland, Amsterdam 1988 )
P.W.Anderson: Phys. Rev. Lett. 64 (1990) 1839
N. Kawakami, S.-K. Yang: In Physics of High-Temperature Superconductors, ed. by S. Maekawa, M. Sato, ( Springer, Berlin, Heidelberg 1992 ) p. 103
C. Varma: Int. J. Mod. Phys. B 3 (1989) 2083; A.E. Ruckenstein, C.M. Varma: Physica C 185–189 (1991) 134
G.Dopf, A. Muramatsu, W.Hanke: Phys. Rev. Lett. 68 (1992) 353
R.Hayn, V.Yushankhai, S.Lovtsov: Phys. Rev. B 47 (1993) 5253
P. Fulde: Electronic correlations in molecules and solids (Springer, Berlin, Heidelberg 1991 )
H.B.Schutler, A.J.Fedro: Phys. Rev. B 45 (1992) 7588; J.H.Jefferson, H.Eskes, L.F.Feiner: Phys. Rev. B 45 (1992) 7959; J.H.Jefferson: Physica B 165–166 (1990) 1013; V.L. Belinicher, A.L. Chernyshev: Phys. Rev. B 47 (1993) 390
Yu.A. Izyumov: Sov. Phys. Uspekhi 161 (1991) 1
E. Dagotto: Int. J. Mod. Phys. B 5 (1991) 77
L.N. Bulaevskii, E.L.Nagaev, D.I. Khomskii: Soviet Phys. JETP 27 (1968) 83
E.L. Nagaev: Soviet Phys. JETP 31 (1970) 682
W.F.Brinkman, T.M.Rice: Phys. Rev. B 2 (1970) 1324
S. Schmitt-Rink, C.M. Varma, A.E. Ruckenstein: Phys. Rev. Lett. 60 (1988) 2793
C.L.Kane, P.A.Lee, N.Read: Phys. Rev. B 39 (1989) 6880
F.Marsiglio, A. Ruckenstein, S. Schmitt-Rink, C. Varma: Phys. Rev. B 43 (1991) 10882
G.Martinez, P.Horsch: Phys. Rev. B 44 (1991) 317
Z. Liu, E. Manousakis: Phys. Rev. B 45 (1992) 2425
K.J. von Szczepanski, P.Horsch, W.Stephan, M.Ziegler: Phys. Rev. B 41 (1990) 2017
P.Horsch, W.Stephan: In Proc. of the NATO Advanced Research Workshop on Dynamics of Magnetic Fluctuations in High Temperature Superconductors, ed. by G.Reiter, P.Horsch, G.Psaltakis ( Plenum Press, New York 1990 )
W.Stephan, P.Horsch: Phys. Rev. Lett. 66 (1991) 2258
P. Horsch, W. Stephan: In Electronic properties and mechanisms of high T c super-conductors, ed. by T. Oguchi, K. Kadowaki, T. Sasaki ( Elsevier Science Publishers B.V., Amsterdam 1992 ) p. 241
I.Bonca, P.Prelovsek, I. Sega: Europhys. Lett. 10 (1989) 87
A.F. Barabanov, R.O.Kuzian, L.A. Maksimov: J. Phys. C 3 (1991) 9129
H.Eskes, G.A.Sawatzky: Phys. Rev. B 43 (1991) 119
T. Tohyama, S. Maekawa: Physica C 191 (1992) 193
G.Dopf, J.Wagner, P.Dieterich, A.Muramatsu, W.Hanke: Phys. Rev. Lett. 68 (1992) 2082
K.W.Becker, W.Brenig, P.Fulde: Z. Phys. B 81 (1990) 165
P.Unger, P.Fulde: Phys. Rev. B 47 (1993) 8947
M.Sasaki, H.Matsumoto, M.Tachiki: Phys. Rev. B 46 (1992) 3022
S.Sorella: Phys. Rev. B 46 (1992) 11670
D.J. Scalapino: Physica C 185–189 (1991) 104
S.A. Trugman: Phys. Rev. B 41 (1990) 892
A. Kampf, J.R. Schrieffer: Phys. Rev. B 42 (1990) 7969
A. Virosztek, J.Ruvalds: Phys. Rev. B 42 (1990) 4064
N.Bulut, D. Hone, D.J. Scalapino, N.E. Bickers: Phys. Rev. B 41 (1990) 1797; N.Bulut, D.J. Scalapino: Phys. Rev. B 45 (1992) 2371; Phys. Rev. Lett. 68 (1992) 706; Phys. Rev. B 47 (1993) 3419
S. Wermbter, L.Tewordt: Phys. Rev. B 43 (1991) 10530; Ibid. 48 (1993) 10514
T.Moria, Y.Takahashi, K.Ueda: Physica C 185–189 (1991) 114; J. Phys. Soc. Jpn. 59 (1990) 2905; T.Moria, Y.Takahashi: Ibid. 60 (1991) 776
T. Tanamoto, K.Kuboki, H.Fukuyama: J. Phys. Soc. Jpn. 60 (1991) 3072, 4395 (E)
Yu. Izyumov, B.M. Letfiilov: J. Phys.: Condensed Matter. 2 (1990) 8905
T.Izuyama, D.Kim, R.Kubo: J. Phys. Soc. Jpn. 1963. 18 (1963) 1025
G.Baskaran, P.W.Anderson: Phys. Rev. B 37 (1988) 580; G.Baskaran: Phys. Scripta T27 (1989) 53
L.B. Ioffe, A.I.Larkin: Phys. Rev. B 39 (1989) 8988; L.B.Ioffe, G.Kotliar: Phys. Rev. B 42 (1990) 10348
X.G. Wen, F.Wilczek, A. Zee: Phys. Rev. B 39 (1989) 11413
A. Zee: In High Temperature Superconductivity ed. by K. Bedell, D. Coffey, D.E. Meitzer, D.Pines, J.R.Schrieffer (Addison Wesley, 1990) Y.G.Chen, F.Wilczek, E. Witten, B.I. Halperin: Int. J. Mod. Phys. B 3 (1989) 1001
T.W.Lawrence, A.Szoke, R.B.Laughlin: Phys. Rev. Lett. 69 (1992) 1439
P.Lederer, D.Poilblanc, T.M.Rice: Phys. Rev. Lett. 63 (1989) 1519; D.Poilblanc, Y.Hasegawa, T.M.Rice: Phys. Rev. B 41 (1990) 1949
M.Luchini, M.Ogata, W.Putikka, T.M.Rice: Physica C 185–189 (1991) 141
N.Nagaosa, P.A.Lee: Phys. Rev. Lett. 64 (1990) 2450; Phys. Rev. B 43 (1991) 1233; Physica C 185–189 (1991) 130
R.Hlubina, W.O.Putikka, T.M.Rice, D.V.Khveshchenko: Phys. Rev. B 46 (1992) 11224
S.Chakravarty, B.I.Halperin, D.Nelson: Phys. Rev. Lett. 60 (1988) 1057; E.Manousakis: Rev. Mod. Phys. 63 (1991) 1
D.Ihle, M.Kasner: Phys. Rev. B 42 (1990) 4760
V.J. Emery, S.A. Kivelson, H.Q. Lin: Phys. Rev. Lett. 64 (1990) 475; S.A. Kivelson, V.J.Emery, H.Q.Lin: Phys. Rev. B 42 (1990) 6523
W.O.Puttika, M.U.Luchini, T.M.Rice: Phys. Rev. Lett. 68 (1992) 538
Yu.A. Izyumov, Yu.A. Skriabin: Statistical Mechanics of Magnetically Ordered Sistems ( Nauka, Moscow 1987 )
N.M. Plakida, V.Yu. Yushankhai, I.V. Stasyuk: Physica C 160 (1989) 80; V.Yu. Yushankhai, N.M. Plakida, P.Kalinay: Ibid. 174 (1991) 401
N.N. Bogolubov, S.V. Tyablikov: Soviet Phys.Doklady. 4 (1959) 604; D. N. Zubarev: Soviet Phys. Uspekhi. 3 (1960) 320
R.O. Zaitsev, V.A.Ivanov: Soviet Phys. Solid State 29 (1987) 2554, 3111; Zaitsev R.O.: Phys. Lett.A. 134 (1988) 199; V.A.Ivanov, R.O.Zaitsev: Intern. J. Mod. Phys. B 3 (1989) 1403
G.Baskaran, Z.Zou, P.W.Anderson: Solid State Commun. 63 (1987) 973
A.E.Ruckenstein, P.J.Hirschfeld, J.Appel: Phys. Rev. B 36 (1987) 857; Y.Suzumura, Y.Hasegawa, H.Fukuyama: J. Phys. Soc. Jpn. 57 (1988) 401
M.Cyrot: Solid State Commun. 62 (1987) 821; Ibid. 63 1015.
Yu.A. Izyumov, B.M. Letfulov: Int. J. Mod. Phys. B 6 (1992) 321
M. Imada, Y.Hatsugai: J. Phys. Soc. Jpn. 58 (1989) 3752; M. Imada: Physica C 185–189 (1991) 1447; A.Moreo, D. Scalapino: Phys. Rev. B 43 (1991) 8211
M.Frick, W. von der Linden, I.Morgenstern, H. de Raedt: Z. Phys. B 81 (1990) 327; M.Frick, I.Morgenstern, W. von der Linden: Z. Phys. B 82 (1991) 339
N.Bulut, D.J.Scalapino, R.T.Scalettar: Phys. Rev. B 45 (1992) 5577; E.Dagotto, J. Riera, D. Scalapino: Ibid. P. 5744.
I.Morgenstern, Th.Husslein, J.M.Singer, H.-G.Matuttis: Preprint HLRZ, Jülich (1992)
J. Bonca, P. Prelovsek, I. Sega, H.Q. Lin, D.K. Campbell: Phys. Rev. Lett. 69 (1992) 526; Phys. Rev. B 47 (1993) 12224
E. Dagotto, J.R. Schrieffer: Phys. Rev. B 43 (1991) 8705
J.Spalek: Phys. Rev. B 38 (1988) 208; Physica C 153–155 (1999) 1267
S.V. Lovtsov, N.M.Plakida, V.Yu. Yushankhai: Z. Phys. B 82 (1991) 1
J.R. Schrieffer: Physica C 185–189 (1991) 17
D. Pines: Physica C 185–189 (1991) 120; Monthoux P., Balatsky A.V., Pines D.: Phys. Rev. Lett. 67 (1991) 3448; Phys. Rev. B 46 (1992) 14803; P. Monthoux, D. Pines: Phys. Rev. Lett. 69 (1992) 961; Phys. Rev. B 47 (1993) 6069
D.J.Scalapino, E.Loh, Jr., J.E.Hirsch: Phys. Rev. B 34 (1986) 8190; K.Miyake, S. Schmitt-Rink, C.M.Varma: Phys. Rev. B 34 (1986) 6554
N.E. Bickers, D.J. Scalapino, R.T. Scalettar: Int. J. Mod. Phys. B 1 (1987) 687; N.E.Bickers, D.J.Scalapino, S.R.White: Phys. Rev. Lett. 62 (1989) 961; N.E. Bickers, S.R.White: Phys. Rev. B 43 (1991) 8044; H.Shimahara, S.Takada: J. Phys. Soc. Jpn. 57 (1988) 1044.
I.E. Dzyaloshinskii: Soviet Phys. JETP 66 (1987) 848
S.Lenck, S. Wermbter, L.Tewordt: J. Low Temp. Phys. 80 (1990) 269
J.R.Schrieffer, X.-G.Wen, S.C.Zhang: Phys. Rev. B 39 (1989) 11663; A.Kampf, J.R. Schrieffer: Ibid. 41 6399
V.S. Babichenko, Yu.Kagan: JETP Letters 56 (1992) 305
W.Weber: Adv. in Solid State Phys. 28 (1988) 141
W.Jin, M.H.Degami, R.K.Kalia, P.Vashishta: Phys. Rev. B 45 (1992) 5535
Ph.B. Allen: Nature. 335 (1988) 419; Carbotte J.P.: Rev. Mod. Phys. 62 (1990) 1027
M.K. Crawford, W.E. Farneth, R. Miao, R.L. Harlow, C.C. Torardi, E.M. McCarron: Physica C 185–189 (1991) 1345; M.K.Crawford, W.E.Farneth, E.M.McCarron, R.L.Harlow, E.H.Moudden: Science. 250 (1990) 1390; M.Ronay, M.A.Frisch, T.R. McGuire: Phys. Rev. B 45 (1992) 355
J.P. Franck, S. Gygax, G. Soerensen, E. Altshuler, A. Hnatiw, J. Jang, M.A.-K. Mohamed, M.K. Yu, G.I. Sproule, J. Chrzanowski, J.C. Irwin: Physica C 185–189 (1991) 1379; J.P. Franck et al. Phys. Rev. B 44 (1991) 5318; J.P. Franck, S. Havker, J.H. Brewer: Phys. Rev. Lett. 71 (1993) 283
N. Babushkina, A.Inyushkin, V.Ozhogin et al.: Physica C 185–189 (1991) 901; Appl. Superconductivity 1 (1993) 359
B. Batlogg, S.-W. Cheong, G.A. Thomas, S.L. Cooper, L.W. Rupp, Jr., D.H. Rapkine, A.S. Cooper: Physica C 185–189 (1991) 1385
J.P. Carbotte, M.Greeson, A. Perez-Gonzales: Phys. Rev. Lett. 66 (1991) 1789; J.P. Carbotte, E.J.Nicol: Physica C 185–189 (1991) 162
R.Zeyher: Z. Phys. B 80 (1990) 187
I.I.Mazin, O.K.Anderson, A.I.Liechtenstein, O.Jepsen, V.P.Antropov, S.N.Rashkeev, V.L. Anisimov, J. Zaanen, R.O. Rodriguez, M. Methfessel: In Proc. Intl. Conf. Lattice effects in High-T c Sureconductors (Santa Fe 1992) ed. by Y.Bar-Yam, T. Egami, J. Mustre-de Leon, A.R. Bishop ( Wold Scientific, Singapore 1992 ) p. 235
H.Krakauer, W.E.Pickett, R.E.Cohen: Phys. Rev. B 47 (1993) 1002
Ju.H. Kim, K. Levin, R. Wentzcovitch: Phys. Rev. B 44 (1991) 5148
G.M.Vujicic, V.L.Aksenov, N.M.Plakida, S.Stamenkovic: Phys. Lett. A. 73 (1979) 439; J. Phys. C 14 (1981) 2377
N.M.Plakida, V.L. Aksenov, S.L.Drechsler: Europhys. Lett. 4 (1987) 1309
J.C.Phillips: Phys. Rev. B 36 (1987) 861; Phys. Rev. Lett. 59 (1987) 1856; Solid State Commun. 65 (1988) 227; Ibid. 68 769
A.Bussman-Holder, H.Butner, A.Simon: Phys. Rev. B 39 (1989) 207; A.Bussman-Holder, A.R. Bishop, I.Batistic: Ibid. 43 (1991) 137; A. Bussman-Holder, A. Migliori, Z.Fisk, J.L.Sarrao, R.G. Leisure, S.-W. Cheong: Phys. Rev. Lett. 67 (1991) 512.
J.R.Hardy, J.W.Flocken: Phys. Rev. Lett. 60 (1988) 2191
T. Galbaatar, S.L. Drechsler, N.M. Plakida, G.M. Vujicic: Physica C 176 (1991) 496
M. Arai, K. Yamada, A.C. Hannon, Y. Hidaka, D. Sugimoto, A.D. Taylor: Phys. Rev. Lett. 69 (1992) 359
J. Ranninger: Z. Phys. B 84 (1991) 167
A.S. Alexandrov, J. Ranninger, S. Robaszkiewicz: Phys. Rev. B 33 (1986) 4526
A.S. Alexandrov, J. Ranninger: Phys. Rev. B 23 (1981) 1796; Ibid. 24 (1981) 1164
A.S. Alexandrov: Phys. Rev. B 38 (1988) 925; Sov. Phys. JETP. 68 (1989) 167; Physica C 158 (1989) 337
R.Micnas, J. Ranninger, S. Robaszkiewicz: Rev. Mod. Phys. 62 (1990) 113
D.Emin, M.S.Hillery: Phys. Rev. B 39 (1989) 6575; D.Emin: Phys. Rev. Lett. 62 (1989) 1544; Physica C 185–189 (1991) 1593
H. Eschrig, S.-L. Drechsler: Physica C 173 (1991) 80; H.Eschrig, S.-L. Drechsler, J.Malek: Physica C 185–189 (1991) 1461
L.J. De Jongh: Physica C 152 (1988) 171; H.Kamimura: In Physics of High-Temperature Superconductors, ed. by S. Maekawa, M. Sato, ( Springer, Berlin, Heidelberg 1992 ) 63
I.O.Kulik: Int. J. Mod. Phys. B 1 (1988) 851
Y.Bar-Yam: Phys. Rev. B 43 (1991) 359, 2601
A.Ramsak, P.Horsch, P.Fulde: Phys. Rev. B 46 (1992) 14305
J.Zhong, H.-B. Schuttler: Phys. Rev. Lett. 69 (1992) 1600
R. Combescot: Phys. Rev. Lett. 67 (1991) 148
J.E. Hirsch, D.J. Scalapino: Phys. Rev. Lett. 56 (1986) 2732
J. Friedel: J. Phys.: Condens. Matter. 1 (1989) 7757
C.C.Tsuei, D.M.Newns, C.C.Chi, P.C.Pattnaik: Phys. Rev. Lett. 65 (1990) 2724; D.M.Newns, P.C.Pattnaik, C.C.Tsuei: Phys. Rev. B 43 (1991) 3075; D.M.Newns et al.: Phys. Rev. Lett.: 69 (1992) 1264; R. Combescot: Ibid. 68 (1992) 1089
R.S. Markiewicz: J. Phys. Cond. Matter 2 (1990) 665; Physica C 183 (1991) 303; Int. J. Mod. Phys. B 5 (1991) 2037
A.A. Gorbatsevich, V.Ph.Elesin, Yu.V.Kopaev: Phys. Lett. 125A (1987) 149
N.M. Plakida, V.S. Udovenko: Mod. Phys. Lett. B 6 (1992) 541
A.N.Das, J.Konior, D.K.Ray, A.M.Oles: Phys. Rev. B 44 (1991) 7680
Chan Minh-Tien, N.M. Plakida: Physica C 206 (1993) 90
N.M.Plakida, R.Hayn: Zs. Phys. 93 (1994) 313
W.A. Little: Phys. Rev. 134 (1964) A1416
V.L. Ginsburg: Phys. Lett. 13 (1964) 101; Sov. Phys. JETP 20 (1965) 1549
W.A. Little: In Physics of High-Temperature Superconductors, ed. by S. Maekawa, M.Sato, ( Springer, Berlin, Heidelberg 1992 ) p. 113
E.A. Pashitskii: Superconductivity: Phys., Chem., Techn. 3 (1990) 2669; JETP Let-ters 57 (1993) 648
V.Z. Kresin: Phys. Rev. B 35 (1987) 8716; V.Z.Kresin, H.Moravitz: Phys. Rev. B 37 (1988) 7854; J. Superconductivity 1 (1988) 89
J. Ruvalds: Phys. Rev. B 35 (1987) 8869; In Novel Superconductivity ed. by A. Wolf, V.Z. Kresin (Plenum Publ. Corp. 1987 ) p. 455
M. Tachiki, S.Takahashi: Phys. Rev. B 39 (1988) 218
C.M.Varma, S.Schmitt-Rink, E.Abrahams: Solid State Commun. 62 (1987) 681
Y.Kuroda, C.M.Varma: Phys. Rev. B 42 (1990) 8619; E.J.Nicol, J.P.Carbotte, T.Timusk: Ibid. 43 (1991) 473; Solid State Commun. 76 (1990) 937
A.R. Bishop, R.L. Martin, K.A. Müller, Z. Tesanovic: Z. Phys. B 76 (1989) 17; Solid State Commun. 68 (1988) 337; A.R. Bishop: In Earlier and Recent Aspects of Superconductivity, ed. by J.G.Bednorz, K.A.Müller ( Springer, Berlin, Heidelberg 1990 ) p. 482
Yu.B. Gaididei, V.M.Loktev: phys. stat. sol.(b). 147 (1988) 307
W.A.Weber: Z. Phys. B 70 (1988) 323; W.A.Weber, A.L.Shelankov, X.Zotos: Physica C 162–164 (1989) 307
M. Georgiev, M. Borissov: Phys. Rev. B 39 (1989) 1124 M. Georgiev, M. Borissov, A. Vavrek: Physica C 162–164 (1989) 1519
K.H. Johnson, D.P. Clougherty, M.E.McHenry: Mod. Phys. Lett. B 3 (1989) 1367
V.A. Moskalenko: Fizika Metallov i Metallov. (USSR) 8 (1959) 503
A.A. Gorbatsevich, Yu.V.Kopaev: Physica C 185–189 (1991) 1711; JETP Letters. 51 (1990) 327
K.B. Efetov: Phys. Rev. B 47 (1991) 5538
P. Konsin, N. Kristoffel, T. Ord: Phys. Lett. A129 (1988) 339; Ibid. 137 (1989) 420; Ibid. 143 (1990) 83
J.E. Hirsch: Phys. Lett. A134 (1989) 451; Physica C 158 (1989) 326; Phys. Lett. A138 (1989) 83; J.E.Hirsch, F.Marsiglio: Phys. Rev. B 39 (1989) 11515
F.Marsiglio: Physica C 160 (1989) 305
Qimiao Si, Y.Zha, K. Levin, J.P.Lu: Phys. Rev. B 47 (1993) 9055; Y.Zha, K. Levin, Qimiao Si: Ibid. 47 (1993) 9124
M.L.Kulic, R.Zeyher: Phys. Rev. B 49 (1994) 4395
A.A. Abrikosov, J.C. Campuzano, K. Gofron: Physica C 214 (1993) 73
J.D.Perkins, J.M.Graybeal, M.A.Kastner, R.J.Birgenau, J.P.Falck, M.Greven: Phys. Rev. Lett. 71 (1993) 1621
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Plakida, N.M. (1995). Theoretical Models of High-Temperature Superconductivity. In: High-Temperature Superconductivity. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78406-4_7
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