Issues

 / 

2009

 / 

October

  

Reviews of topical problems


Study of layered superconductors in the theory of an electron — phonon coupling mechanism


Institute of Physics, National Academy of Sciences of Azerbaijan, prosp. H. Davida 33, Baku, 1143, Azerbaijan

We summarize a number of recent developments in the study of layered superconductors using the electron — phonon Eliashberg theory. The critical temperature of layered superconductors is calculated using the Eliashberg theory. The influence of nonadiabaticity effects on the critical temperature in layered superconductors is considered. The influence of Coulomb repulsion on the critical temperature is investigated in the case of an arbitrary thicknesses of conducting layers. Bardeen — Cooper — Schrieffer (BCS) equations for layered superconductors are used for the calculation of a specific heat jump, which is smaller than in the case of an isotropic BCS theory. The plasmon spectrum of layered superconductors with an arbitrary thicknesses of conducting layers is calculated. The influence of fluctuations in the order parameter phase on the critical temperature of layered superconductors is studied using the Ginzburg — Landau functional for the free energy. The results are shown to be in qualitative agreement with some experimen- tal data for cuprate superconductors and recently discovered MgB2.

Fulltext pdf (267 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0179.200910a.1033
PACS: 74.20.−z, 74.70.Ad, 74.78.Fk (all)
DOI: 10.3367/UFNe.0179.200910a.1033
URL: https://ufn.ru/en/articles/2009/10/a/
000274503800001
2-s2.0-78650952534
2009PhyU...52..977A
Citation: Askerzade I N "Study of layered superconductors in the theory of an electron — phonon coupling mechanism" Phys. Usp. 52 977–988 (2009)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Аскерзаде И Н «Исследование слоистых сверхпроводников в рамках теории с электрон-фононным механизмом спаривания» УФН 179 1033–1045 (2009); DOI: 10.3367/UFNr.0179.200910a.1033

References (87) ↓ Cited by (15) Similar articles (20)

  1. Bednorz J G, Müller K A Z. Phys. B 64 189 (1986)
  2. Orenstein J, Millis A J Science 288 468 (2000)
  3. Anderson P W The Theory Of Superconductivity In The High-Tc Cuprates (Princeton: Princeton Univ. Press, 1997)
  4. Khasanov R et al. Phys. Rev. Lett. 101 077001 (2008)
  5. Uemura Y J et al. Phys. Rev. Lett. 66 2665 (1991)
  6. Franck J P, Harker S, Brewer J H Phys. Rev. Lett. 71 283 (1993)
  7. Ponomarev Ya G et al. Solid State Commun. 111 513 (1999)
  8. Maksimov E G, Arseyev P I, Maslova N S Solid State Commun. 111 391 (1999)
  9. Maksimov E G Usp. Fiz. Nauk 170 1033 (2000); Maksimov E G Phys. Usp. 43 965 (2000)
  10. Maksimov E G, Kulić M L, Dolgov O V arXiv:0810.3789
  11. Chu C W J. Supercond. 12 85 (1999)
  12. Yamauchi H, Karppinen M Supercond. Sci. Technol. 13 R33 (2000)
  13. Nagamatsu J et al. Nature 410 63 (2001)
  14. Buzea C, Yamashita T Supercond. Sci. Technol. 14 R115 (2001)
  15. Glowacki B A et al. Supercond. Sci. Technol. 14 193 (2001)
  16. Bud’ko S L et al. Phys. Rev. Lett. 86 1877 (2001)
  17. Quilty J W et al. Phys. Rev. Lett. 88 087001 (2002)
  18. Takahashi K et al. Phys. Rev. B 66 012501 (2002)
  19. Zehetmayer M et al. Phys. Rev. B 66 052505 (2002)
  20. Yildirim T et al. Phys. Rev. Lett. 87 037001 (2001)
  21. Udomsamuthirun P et al. Physica C 425 149 (2005)
  22. Carbotte J P, Marsiglio F In The Physics Of Superconductors Vol. 1 Conventional And High-Tc Superconductors (Eds K H Bennemann, J B Ketterson) (Berlin: Springer-Verlag, 2003) p. 233
  23. Kortus J et al. Phys. Rev. Lett. 86 4656 (2001)
  24. Liu A Y, Mazin I I, Kortus J Phys. Rev. Lett. 87 087005 (2001)
  25. Kong Y et al. Phys. Rev. B 64 020501 (2001)
  26. Choi H J et al. Phys. Rev. B 66 020513 (2002)
  27. Eliashberg G M Zh. Eksp. Teor. Fiz. 38 966 (1960); Eliashberg G M Sov. Phys. JETP 11 696 (1960)
  28. Carbotte J P Rev. Mod. Phys. 62 1027 (1990)
  29. Golubov A A et al. J. Phys. Condens. Matter 14 1353 (2002)
  30. Maksimov E G, Karakozov A E Usp. Fiz. Nauk 178 561 (2008); Maksimov E G, Karakozov A E Phys. Usp. 51 535 (2008)
  31. Askerzade I N, Tanatar B Physica C 384 404 (2003)
  32. Askerzade I N J. Korean Phys. Soc. 45 475 (2004)
  33. Jiang C, Carbotte J P Phys. Rev. B 57 3045 (1998)
  34. Grimaldi C, Pietronero L, Strässler S Phys. Rev. Lett. 75 1158 (1995)
  35. Pietronero L, Strässler S, Grimaldi C Phys. Rev. B 52 10516 (1995)
  36. Grimaldi C, Pietronero L, Strässler S Phys. Rev. B 52 10530 (1995)
  37. Askerzade I N In Proc. Of The Nathiagali Summer College On Physics And Contemporary Needs, Pakistan, June, 1996 (New York: Nova Sci. Publ., 1996) p. 11
  38. Nakhmedov E P Phys. Rev. B 54 6624 (1996)
  39. Bulaevskii L N v Sb. Problemy Vysokotemperaturnoi Sverkhprovodimosti (Pod red. V L Ginzburga, D A Kirzhnitsa) (M.: Nauka, 1977); Bulaevskii L N In High-Temperature Superconductivity (Eds V L Ginzburg, D A Kirzhnits) (New York: Consultants Bureau, 1982)
  40. Vonsovskii S V, Izyumov Yu A, Kurmaev E Z Sverkhprovodimost’ Perekhodnykh Metallov, Ikh Splavov i Soedinenii (M.: Nauka, 1977); Vonsovsky S V, Izyumov Yu A, Kurmaev E Z Superconductivity Of Transition Metals, Their Alloys And Compounds (Berlin: Springer-Verlag, 1982)
  41. McMillan W L Phys. Rev. 167 331 (1968)
  42. Zubarev D N Usp. Fiz. Nauk 71 71 (1960); Zubarev D N Sov. Phys. Usp. 3 320 (1960)
  43. Landau L D, Lifshits E M Statisticheskaya Fizika Vol. 1 (M.: Nauka, 1976); Landau L D, Lifshitz E M Statistical Physics Vol. 1 (Oxford: Pergamon Press, 1980)
  44. Belen’kii G L, Salaev E Yu, Suleimanov R A Usp. Fiz. Nauk 155 89 (1988); Belen’kii G L, Salaev E Yu, Suleimanov R A Sov. Phys. Usp. 31 434 (1988)
  45. Bergman G, Rainer D Z. Phys. 263 59 (1973)
  46. Dubovskii L B, Kozlov A N Zh. Eksp. Teor. Fiz. 68 2224 (1975); Dubovskii L B, Kozlov A N Sov. Phys. JETP 41 1113 (1975)
  47. Allen P B, Dynes R C Phys. Rev. B 12 905 (1975)
  48. Paci P, Grimaldi C, Pietronero L Eur. Phys. J. B 17 235 (2000)
  49. Guseinov R R Phys. Status Solidi B 125 237 (1984)
  50. Gradshtein I S, Ryzhik I M Tablitsy Integralov, Summ, Ryadov i Proizvedenii (M.: Fizmatgiz, 1962); Gradshteyn I S, Ryzhik I M Tables Of Integrals, Series, And Products (New York: Academic Press, 1980)
  51. Abrikosov A A, Gor’kov L P, Dzyaloshinskii I E Metody Kvantovoi Teorii Polya v Statisticheskoi Fizike (M.: Fizmatgiz, 1962); Abrikosov A A, Gor’kov L P, Dzyaloshinskii I Ye Quantum Field Theoretrical Methods In Statistical Physics (Oxford: Pergamon Press, 1965)
  52. Askerzade I N, Tanatar B Physica C 420 11 (2005)
  53. Whitmore M D, Hare I P, Knee L B Phys. Rev. B 26 3733 (1982)
  54. Abrikosov A A Osnovy Teorii Metallov (M.: Nauka, 1987); Abrikosov A A Fundamentals Of The Theory Of Metals (Amsterdam: North-Holland, 1988)
  55. Askerzade I N Mod. Phys. Lett. B 17 11 (2003)
  56. Lawrence W E, Doniach S In Proc. Of The 12th Intern. Conf. On Low Temperature Physics, Kyoto, 1970 (Ed. E Kanda) (Tokyo: Kcegaku, 1971) p. 361
  57. Rice T M Phys. Rev. 140 A1889 (1965)
  58. Nakhmedov E P, Sacli O A, Askerzade I N J. Phys. Condens. Matter 5 1099 (1993)
  59. Askerzade I N Mod. Phys. Lett. B 20 3093 (2006)
  60. Wang Y, Plackowski T, Junod A Physica C 355 179 (2001)
  61. Mitrović B J. Phys. Condens. Matter 16 9013 (2004)
  62. Bianconi A, Agrestini S, Bussmann-Holder A J. Supercond. 17 205 (2004)
  63. Alexandrov A S Physica C 363 231 (2001)
  64. Varshney D, Azad M S, Singh R K Supercond. Sci. Technol. 17 1446 (2004)
  65. Suderow H et al. Phys. Rev. B 70 134518 (2004)
  66. Tsuda S et al. Phys. Rev. B 72 064527 (2005)
  67. Mackenzie A P J. Supercond. 12 543 (1999)
  68. Leggett A J Phys. Rev. Lett. 83 392 (1999)
  69. Leggett A J J. Phys. Chem. Solids 59 1729 (1998)
  70. Harshman D R, Mills A P (Jr.) Phys. Rev. B 45 10684 (1992)
  71. Zharkov G F, Uspenskii Yu A Zh. Eksp. Teor. Fiz. 61 2123 (1971); Zharkov G F, Uspenskii Yu A Sov. Phys. JETP 34 1132 (1972)
  72. Uspenskii Yu A, Zharkov G F Zh. Eksp. Teor. Fiz. 65 1460 (1973); Uspenskii Yu A, Zharkov G F Sov. Phys. JETP 38 727 (1973)
  73. GriffA, Pindor A J Phys. Rev. B 39 11503 (1989)
  74. Gor’kov L P, Kopnin N B Usp. Fiz. Nauk 156 117 (1988); Gor’kov L P, Kopnin N B Sov. Phys. Usp. 31 850 (1988)
  75. Grigoryan V G, Paasch G, Drechsler S-L Phys. Rev. B 60 1340 (1999)
  76. Bulaevski L N, Maley M P, Tachiki M Phys. Rev. Lett. 74 801 (1995)
  77. Bill A, Morawitz H, Kresin V Z Phys. Rev. B 68 144519 (2003)
  78. Kresin V Z Phys. Rev. B 35 8716 (1987)
  79. Kresin V Z, Morawitz H Phys. Rev. B 37 7854 (1988)
  80. Artemenko S N, Kobel’kov A G Pis’ma ZhETF 58 435 (1993); Artemenko S N, Kobel’kov A G JETP Lett. 58 445 (1993)
  81. Carlson R V, Goldman A M Phys. Rev. Lett. 34 11 (1975)
  82. Elgazzar S et al. Solid State Commun. 121 99 (2002)
  83. Ruvalds J Adv. Phys. 30 677 (1981)
  84. Pokrovskii V L Zh. Eksp. Teor. Fiz. 40 641 (1961); Pokrovskii V L Sov. Phys. JETP 13 447 (1961)
  85. Jiang C, Carbotte J P Physica C 185-189 1739 (1991)
  86. Kosterlitz J M, Thouless D J In Progress In Low Temperature Physics Vol. 7b (Ed. D F Brewer) (Amsterdam: North-Holland, 1978) p. 373
  87. Minnhagen P Rev. Mod. Phys. 59 1001 (1987)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions