Estimation of the influence of ionic dielectricity on the dynamic superconducting order parameter

Annalen der Physik (Leipzig)

Volumn 7, Issue 3, 1998, Pages 174-200

  Peter, M ^a   Weger, M ^b   Pitaevskii, L P ^c  

^a UNIVERSITY OF GENEVA   (Switzerland)

^b HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^c TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Dielectricity; Eliashberg equations; High temperature superconductivity

Indexed keywords

FUNCTIONS; HIGH TEMPERATURE SUPERCONDUCTORS; INTEGRAL EQUATIONS; PERMITTIVITY; PROBLEM SOLVING;

ELIASHBERG EQUATION; HIGH TEMPERATURE SUPERCONDUCTIVITY; IONIC DIELECTRICITY;

SUPERCONDUCTIVITY;

EID: 0032310699     PISSN: 00033804     EISSN: None     Source Type: Journal    
DOI: 10.1002/andp.2090070304     Document Type: Article

References (84)

1. D.J. Scalapino, Phys. Reports 250 (1995) 329
2. c Cuprates. Princeton University Press, 1997
3. T. Dahm, L. Tewordt, Phys. Rev. Lett. 74 (1995) 793; Phys. Rev. B52 (1995) 1297
4. T. Dahm, L. Tewordt, Phys. Rev. Lett. 74 (1995) 793; Phys. Rev. B52 (1995) 1297
5. J. Schmalian, M. Langer, S. Grabowski, K.H. Bennemann, Compt. Phys. Commun. 93 (1996) 141; S. Grabowski, J. Schmalian, M. Langer, K.H. Bennemann, Phys. Rev. B55 (1997) 2784
6. J. Schmalian, M. Langer, S. Grabowski, K.H. Bennemann, Compt. Phys. Commun. 93 (1996) 141; S. Grabowski, J. Schmalian, M. Langer, K.H. Bennemann, Phys. Rev. B55 (1997) 2784
7. G.M. Eliashberg, Sov. Phys. JETP 11 (1960) 696; 12 (1961) 1000
8. G.M. Eliashberg, Sov. Phys. JETP 11 (1960) 696; 12 (1961) 1000
9. M. Weger, B. Barbiellini, M. Peter, Z. Physik B 94 (1994) 387; M. Weger, B. Barbiellini, T. Jarlborg, M. Peter, G. Santi, Ann. Physik 4 (1995) 431; G. Santi, T. Jarlborg, M. Peter, M. Weger, J. Supercond. 8 (1995) 215
10. M. Weger, B. Barbiellini, M. Peter, Z. Physik B 94 (1994) 387; M. Weger, B. Barbiellini, T. Jarlborg, M. Peter, G. Santi, Ann. Physik 4 (1995) 431; G. Santi, T. Jarlborg, M. Peter, M. Weger, J. Supercond. 8 (1995) 215
11. M. Weger, B. Barbiellini, M. Peter, Z. Physik B 94 (1994) 387; M. Weger, B. Barbiellini, T. Jarlborg, M. Peter, G. Santi, Ann. Physik 4 (1995) 431; G. Santi, T. Jarlborg, M. Peter, M. Weger, J. Supercond. 8 (1995) 215
12. [7| J.R. Schrieffer, X.G. Wen, S.C. Zhang, Phys. Rev. B39 (1989) 11663; P. Monthoux, A. Balatzky, D. Pines, Phys. Rev. B46 (1992) 14803
13. [7| J.R. Schrieffer, X.G. Wen, S.C. Zhang, Phys. Rev. B39 (1989) 11663; P. Monthoux, A. Balatzky, D. Pines, Phys. Rev. B46 (1992) 14803
14. J.R. Schrieffer, Theory of Superconductivity. Benjamin, New York 1964
15. N.F. Mon, A.S. Alexandrov, High Temperature Superconductors and Other Superfluids. Taylor & Francis 1994
16. F. Marsiglio, M. Schossmann, J.P. Carbotte, Phys. Rev. B 37 (1988) 4965; F. Marsiglio, J.P. Carbotte, Phys. Rev. B 43 (1991) 5355; St. Lenk, J.P. Carbotte, Phys. Rev. B 49 (1994) 4176; St. Lenk, J.P. Carbotte, R.C. Dynes, Phys. Rev. B 49 (1994) 6933; St. Lenk, J.P. Carbotte, R.C. Dynes, Phys. Rev B 50 (1994) 10149
17. F. Marsiglio, M. Schossmann, J.P. Carbotte, Phys. Rev. B 37 (1988) 4965; F. Marsiglio, J.P. Carbotte, Phys. Rev. B 43 (1991) 5355; St. Lenk, J.P. Carbotte, Phys. Rev. B 49 (1994) 4176; St. Lenk, J.P. Carbotte, R.C. Dynes, Phys. Rev. B 49 (1994) 6933; St. Lenk, J.P. Carbotte, R.C. Dynes, Phys. Rev B 50 (1994) 10149
18. F. Marsiglio, M. Schossmann, J.P. Carbotte, Phys. Rev. B 37 (1988) 4965; F. Marsiglio, J.P. Carbotte, Phys. Rev. B 43 (1991) 5355; St. Lenk, J.P. Carbotte, Phys. Rev. B 49 (1994) 4176; St. Lenk, J.P. Carbotte, R.C. Dynes, Phys. Rev. B 49 (1994) 6933; St. Lenk, J.P. Carbotte, R.C. Dynes, Phys. Rev B 50 (1994) 10149
19. F. Marsiglio, M. Schossmann, J.P. Carbotte, Phys. Rev. B 37 (1988) 4965; F. Marsiglio, J.P. Carbotte, Phys. Rev. B 43 (1991) 5355; St. Lenk, J.P. Carbotte, Phys. Rev. B 49 (1994) 4176; St. Lenk, J.P. Carbotte, R.C. Dynes, Phys. Rev. B 49 (1994) 6933; St. Lenk, J.P. Carbotte, R.C. Dynes, Phys. Rev B 50 (1994) 10149
20. F. Marsiglio, M. Schossmann, J.P. Carbotte, Phys. Rev. B 37 (1988) 4965; F. Marsiglio, J.P. Carbotte, Phys. Rev. B 43 (1991) 5355; St. Lenk, J.P. Carbotte, Phys. Rev. B 49 (1994) 4176; St. Lenk, J.P. Carbotte, R.C. Dynes, Phys. Rev. B 49 (1994) 6933; St. Lenk, J.P. Carbotte, R.C. Dynes, Phys. Rev B 50 (1994) 10149
21. C. Jiang, E. Schachinger, J.P. Carbotte, D. Basov, T. Timusk, Phys. Rev. B 54 (1996) 1264. D. Basov et al (unpublished)
22. C. Jiang, E. Schachinger, J.P. Carbotte, D. Basov, T. Timusk, Phys. Rev. B 54 (1996) 1264. D. Basov et al (unpublished)
23. D.A. Bonn et al, Phys. Rev. B 47 (1993) 11314
24. J.I. Gersten, M. Weger, Physica B 225 (1996) 33
25. ion(ω)](sinqR/qR)}
26. E.G. Maksimov, V.L. Ginzburg, Physica C 235-240 (1994) 193, ibidem p. 2383
27. E.G. Maksimov, V.L. Ginzburg, Physica C 235-240 (1994) 193, ibidem p. 2383
28. P.B. Allen, M.L. Cohen, D.R. Penn, Phys. Rev. B38 (1988) 2513
29. D. Reagor, E. Ahrens, S.W. Cheng, A. Migliori, Z. Fisk; Phys. Rev. Lett. 62 (1989) 2048; C.Y. Chen, R.J. Birgeneau, A.M. Kastner. N.W. Preyer, T. Thio, Phys. Rev. B 43 (1991) 392; J. Humlicek, A.P. Litvinchuk, W. Kress, B. Lederle, C. Thomsen, M. Cardona, H.U. Habermeier, I.E. Trofimov, W. Konig, Physica C 206 (1993) 345
30. D. Reagor, E. Ahrens, S.W. Cheng, A. Migliori, Z. Fisk; Phys. Rev. Lett. 62 (1989) 2048; C.Y. Chen, R.J. Birgeneau, A.M. Kastner. N.W. Preyer, T. Thio, Phys. Rev. B 43 (1991) 392; J. Humlicek, A.P. Litvinchuk, W. Kress, B. Lederle, C. Thomsen, M. Cardona, H.U. Habermeier, I.E. Trofimov, W. Konig, Physica C 206 (1993) 345
31. D. Reagor, E. Ahrens, S.W. Cheng, A. Migliori, Z. Fisk; Phys. Rev. Lett. 62 (1989) 2048; C.Y. Chen, R.J. Birgeneau, A.M. Kastner. N.W. Preyer, T. Thio, Phys. Rev. B 43 (1991) 392; J. Humlicek, A.P. Litvinchuk, W. Kress, B. Lederle, C. Thomsen, M. Cardona, H.U. Habermeier, I.E. Trofimov, W. Konig, Physica C 206 (1993) 345
32. H. Kamimura, A. Sano; J. Superconductivity 10 (1997) 279
33. J.G. Bednorz, K.A. Mueller, Rev. Mod. Phys. 60 (1988) 685
34. V. Heine, P. Nozieres, J.W. Wilkins, Phil. Mag. 13 (1966) 741
35. W. Kohn, J.L. Luttinger, Phys. Rev. 96 (1954) 802
36. R.H. Lyddane, R.G. Sachs, E. Teller, Phys. Rev. 59 (1941) 673; M. Born, K. Huang, Dynamical Theory of Crystal Lattices. University Press, London. N.W. Ashcroft, N.B. Mermin, Solid State Physics, pp. 547-548, Holt-Saunders, Philadelphia, 1976
37. R.H. Lyddane, R.G. Sachs, E. Teller, Phys. Rev. 59 (1941) 673; M. Born, K. Huang, Dynamical Theory of Crystal Lattices. University Press, London. N.W. Ashcroft, N.B. Mermin, Solid State Physics, pp. 547-548, Holt-Saunders, Philadelphia, 1976
38. R.H. Lyddane, R.G. Sachs, E. Teller, Phys. Rev. 59 (1941) 673; M. Born, K. Huang, Dynamical Theory of Crystal Lattices. University Press, London. N.W. Ashcroft, N.B. Mermin, Solid State Physics, pp. 547-548, Holt-Saunders, Philadelphia, 1976
39. S.I. Vedeneev, P. Samuely, S.V. Meshkov, G.M. Eliashberg, A.G.M. Jansen, P. Wyder, Physica C 198 (1992) 47
40. S. Massidda, J. Yu, K.T. Park, A.J. Freeman, Physica C176 (1991) 159; C.O. Rodriguez, A.I. Liechtenstein, I.I. Mazin, O. Jespen, O.K. Andersen, M. Methfessel, Phys. Rev. B42 (1990) 2692
41. S. Massidda, J. Yu, K.T. Park, A.J. Freeman, Physica C176 (1991) 159; C.O. Rodriguez, A.I. Liechtenstein, I.I. Mazin, O. Jespen, O.K. Andersen, M. Methfessel, Phys. Rev. B42 (1990) 2692
42. V.Z. Kresin, H. Gutfreund, W.A. Little, Solid State Commun. 51 (1984) 339
43. M.L. Cohen, Phys. Rev. A134 (1964) 511
44. E.M. Lifshitz, L.P. Pitaevskii, Physical Kinetics, section 47. Pergamon Press, 1981
45. K. Widder, M. Merz, D. Berner, J. Muenzel, H.P. Geserich, A. Erb, R. Flueckiger, W. Widder, H.F. Braun, Physica C 264 (1996) 11
46. L. Pintschovius, H. Rietschel, T. Sasaki, H. Mon, S. Tanaka, N. Toyota, M. Lang, F. Steglich, Europhys. Lett. 37 (1997) 627
47. J. Ma, C. Quitmann, R.J. Kelley, P. Aimeras, H. Berger, G. Margaritondo, M. Onellion, Phys Rev B 51 (1995) 3832
48. S. Das Sarma, Private communication
49. B. Barbiellini, T. Jarlborg, Phys. Rev. B 50 (1994) 3239
50. W.L. McMillan, Phys. Rev. 167 (1968) 331
51. Q. Huang, S.F. Zasadinski, N. Trashawala, K.E. Gray, D.G. Hinks, J.L. Peng, R.L. Greene, Nature 347 (1990) 369
52. B. Barbiellini, M. Peter, M. Weger, J. Superconductivity 9 (1996) 59
53. M. Weger, A. Nowack, D. Schweitzer, Synth. Metals 42 (1991) 1885; G. Ernst, A. Nowack, M. Weger, D. Schweitzer, Europhys. Lett. 25 (1994) 303
54. M. Weger, A. Nowack, D. Schweitzer, Synth. Metals 42 (1991) 1885; G. Ernst, A. Nowack, M. Weger, D. Schweitzer, Europhys. Lett. 25 (1994) 303
55. A. Bianconi et al, Europhys. Lett. 31 (1995) 411; Phys. Rev. Lett. 76 (1996) 3412; Physica C 235-240 (1994) 269
56. A. Bianconi et al, Europhys. Lett. 31 (1995) 411; Phys. Rev. Lett. 76 (1996) 3412; Physica C 235-240 (1994) 269
57. A. Bianconi et al, Europhys. Lett. 31 (1995) 411; Phys. Rev. Lett. 76 (1996) 3412; Physica C 235-240 (1994) 269
58. D.M. King et al, Phys. Rev. Lett. 73 (1994) 3298; K.G. Gofron et al, Phys. Rev. Lett. 73 (1994) 3302
59. D.M. King et al, Phys. Rev. Lett. 73 (1994) 3298; K.G. Gofron et al, Phys. Rev. Lett. 73 (1994) 3302
60. Positron annihilation in superconducting 123 compounds, M. Peter, A.A. Manuel, A. Erb (Eds.), Conference on novel superconductors, January 2-8, 1998 Baton Rouge, to be published, International Journal of Physics B, World Scientific Publishing Company
61. [39) C.A. Balseiro, L.M. Falicov, Phys. Rev. Lett. 45 (1980) 662
62. N. Toyota, T. Shimazu, T. Sasaki, K. Shibata, T. Kajitani, M. Lang, S. Ikeda, Synth. Metals 86 (1997) 2009
63. S. Martin, A.T. Fiory, R.M. Fleming, L.F. Schneemeyer, J.R. Wazczak, Phys. Rev. B41 (1991) 846; Y. Tokura, Y. Taguchi, Y. Okada, Y. Fujishima, T. Arima, K. Kumaya, Y. Iye, Phys. Rev. Lett. 70 (1993) 2126
64. S. Martin, A.T. Fiory, R.M. Fleming, L.F. Schneemeyer, J.R. Wazczak, Phys. Rev. B41 (1991) 846; Y. Tokura, Y. Taguchi, Y. Okada, Y. Fujishima, T. Arima, K. Kumaya, Y. Iye, Phys. Rev. Lett. 70 (1993) 2126
65. T.R. Chien, D.A. Brawner, Z.Z. Wang, N.P. Ong, Phys. Rev. B43 (1991) 6242
66. J. Hopfield, Comments on Solid State Physics 3 (1970) 48
67. D. Pines, P. Wrobel, Phys. Rev. B 53 (1996) 5915
68. A.V. Chubukov, Phys. Rev. B52 (1995) R3840
69. H.A. Blackstead et al, Phys. Rev. B54 (1996) 6122 and references therein
70. R. Zeyher, M.L. Kulic, Phys. Rev. B 53 (1996) 2850
71. J. Ruvalds, C.T. Rieck, T. Tewari, J. Thoma, A. Virosztek, Phys. Rev. B 51 (1995) 3787
72. A.A. Abrikosov, Physica C 244 (1995) 243
73. D.J. Scalapino, E. Loh, J.E. Hirsch, Phys. Rev. B 34 (1986) 8190
74. G. Santi, T. Jarlborg, M. Peter, M. Weger, Physica C 259 (1996) 253
75. L. Pietronero, S. Straessler, C. Grimaldi, Phys. Rev. B 52 (1995) 10516
76. N. Bulut, D.J. Scalapino, Phys. Rev. B 54 (1996) 14971
77. N. Klein et al, Phys. Rev. Lett. 71 (1993) 3355
78. Y.J. Uemura et al, Phys. Rev. Lett. 66 (1991) 2665
79. G. Bergmann, D. Rainer, Z. Phys. 263 (1973) 59
80. J.P. Franck, in Physical Properties of High Temperature Superconductors IV. D.M. Ginsberg (Ed.), World Scientific 1994, p. 189
81. V.Z. Kresin, S.A. Wolf, Phys. Rev. B 54 (1996) 15543
82. K. Gofron et al, Phys. Rev. Lett. 73 (1994) 3302
83. L. Gao et al, Phys. Rev. B 50 (1994) 4260
84. D.L. Novikov, M.I. Katsnelson, Jaejun Yu, A.V. Postnikov, A.J. Freeman, Phys. Rev. B 54 (1996) 1313