RSS feeds
РусскийEnglish
Issue 11, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2006

 / 

October

←  →



Ginzburg-Landau theory: the case of two-band superconductors


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

Recent studies of two-band superconductors using the Ginzburg-Landau (GL) theory are reviewed. The upper and lower critical fields [Hc2(T) and Hc1(T), respectively], thermodynamic magnetic field Hcm(T), critical current density jc(T), magnetization M(T) near the upper critical field, and the upper critical field Hfilmc2(T) of thin films are examined from the viewpoint of their temperature dependence at a point Tc using the two-band GL theory. The results are shown to be in good agreement with the experimental data for the bulky samples of superconducting magnesium diboride, MgB2, and nonmagnetic borocarbides LuNi2B2C and YNi2B2C. The specific heat jump turns out to be smaller than that calculated by single-band GL theory. The upper critical field of thin films of two-band superconductors is calculated and the Little-Parks effect is analyzed. It is shown that magnetic flux quantization and the relationship between the surface critical magnetic field Hc3(T) and the upper critical field Hc2(T) are the same as in the single-band GL theory. Extension of the two-band GL theory to the case of layered anisotropy is presented. The anisotropy parameter of the upper critical field Hc2 and the London penetration depth λ, calculated for MgB2 single crystals, are in good agreement with the experimental data and show opposite temperature behavior to that in single-band GL theory.

Fulltext pdf (295 KB)
Fulltext is also available at DOI: 10.1070/PU2006v049n10ABEH006055
PACS: 74.20.De, 74.25.−q, 74.70.Ad (all)
DOI: 10.1070/PU2006v049n10ABEH006055
URL: https://ufn.ru/en/articles/2006/10/a/
000244185100001
2-s2.0-33847041105
2006PhyU...49.1003A
Citation: Askerzade I N "Ginzburg-Landau theory: the case of two-band superconductors" Phys. Usp. 49 1003–1016 (2006)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Аскерзаде И Н «Теория Гинзбурга-Ландау для двузонных сверхпроводников» УФН 176 1025–1038 (2006); DOI: 10.3367/UFNr.0176.200610a.1025

References (90) ↓ Cited by (41)

  1. Nagamatsu J et al. Nature 410 63 (2001)
  2. Glowacki B A et al. Supercond. Sci. Technol. 14 193 (2001)
  3. Gencer A Supercond. Sci. Technol. 15 247 (2002)
  4. Bud’ko S L et al. Phys. Rev. Lett. 86 1877 (2001)
  5. Kotegawa H et al. Phys. Rev. Lett. 87 127001 (2001)
  6. Kortus J et al. Phys. Rev. Lett. 86 4656 (2001)
  7. Liu A Y, Mazin I I, Kortus J Phys. Rev. Lett. 87 087005 (2001)
  8. Chen X K et al. Phys. Rev. Lett. 87 157002 (2001)
  9. Giubile F et al. Phys. Rev. Lett. 87 177008 (2001)
  10. Bouquet F et al. Phys. Rev. Lett. 87 047001 (2001)
  11. Nagarajan R et al. Phys. Rev. Lett. 72 274 (1994)
  12. Cava R J et al. Nature 367 146 (1994)
  13. Drechsler S-L et al. Physica C 317 - 318 117 (1999)
  14. Pickett W E, Singh D J Phys. Rev. Lett. 72 3702 (1994)
  15. Mattheiss L F Phys. Rev. B 49 13279 (1994)
  16. Ravindran P, Johansson B, Eriksson O Phys. Rev. B 58 3381 (1998)
  17. Suh B J et al. Phys. Rev. B 53 R6022 (1996)
  18. Heinecke M, Winzer K Z. Phys. B 98 147 (1995)
  19. Freudenberger J et al. Physica C 306 1 (1998)
  20. Nohara M et al. J. Phys. Soc. Jpn. 66 1888 (1997)
  21. Müller K-H et al. J. Alloys Comp. 322 L10 (2001)
  22. Bud’ko S L et al. Phys. Rev. B 63 220503 (2001)
  23. Shulga S V et al. Phys. Rev. Lett. 80 1730 (1998)
  24. Shulga S V et al. cond-mat/0103154
  25. Moskalenko V A Fiz. Met. Metalloved. 8 503 (1959)
  26. Suhl H, Matthias B T, Walker L R Phys. Rev. Lett. 3 552 (1959)
  27. Udomsamuthirun P et al. Physica C 425 149 (2005)
  28. Wang Y, Plackowski T, Junod A Physica C 355 179 (2001)
  29. Golubov A A et al. J. Phys. Condens. Matter 14 1353 (2002)
  30. Ginzburg V L, Landau L D Zh. Eksp. Teor. Fiz. 20 1064 (1950)
  31. Doh H et al. Phys. Rev. Lett. 83 5350 (1999)
  32. Askerzade I N, Gencer A, Güçlü N Supercond. Sci. Technol. 15 L13 (2002)
  33. Askerzade I N et al. Supercond. Sci. Technol. 15 L17 (2002)
  34. Moskalenko V A Zh. Eksp. Teor. Fiz. 51 1163 (1966)
  35. Abrikosov A A Osnovy Teorii Metallov (M.: Nauka, 1987)
  36. Saint-James D, De Gennes P G Phys. Lett. 7 306 (1963)
  37. Abrikosov A A Zh. Eksp. Teor. Fiz. 47 720 (1964)
  38. Tinkham M Introduction To Superconductivity 2nd ed. (New York: McGraw-Hill, 1996)
  39. Askerzade I N Mod. Phys. Lett. B 18 1525 (2004)
  40. Askerzade I N Physica C 397 99 (2003)
  41. Askerzade I N, Gencer A J. Phys. Soc. Jpn. 71 1637 (2002)
  42. Askerzade I N Physica C 390 281 (2003)
  43. Takahashi K et al. Phys. Rev. B 66 012501 (2002)
  44. Zehetmayer M et al. Phys. Rev. B 66 052505 (2002)
  45. 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
  46. Bulaevskii L N v Sb. Problema 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 Kirzhnitz) (New York: Consultants Bureau, 1982)
  47. Clem J R Phys. Rev. B 43 R2991 (1996)
  48. Abramowitz M, Stegun I A (Eds) Handbook On Mathematical Functions, With Formulas, Graphs, And Mathematical Tables (New York: Dover Publ., 1972); Abramovits M, Stigan I (Red.) Spravochnik Po Spetsial’nym Funktsiyam s Formulami, Grafikami i Matematicheskimi Tablitsami (M.: Nauka, 1979)
  49. Askerzade I N Pis’ma ZhETF 81 717 (2005)
  50. Udomsamuthirun P et al. Physica C 434 62 (2006)
  51. Drechsler S-L In High-Tc Superconductors And Related Materials (NATO Science Ser., Ser. 3, Vol. 86, Eds S-L Drechsler, T Mishonov) (Dordrecht: Kluwer Acad. Publ., 2001) p. 167
  52. Uchiyama H et al. Phys. Rev. Lett. 88 157002 (2002)
  53. Servedio V D P, Drechsler S-L, Mishonov T Phys. Rev. B 66 140502 (2002)
  54. Welp U et al. Phys. Rev. B 67 012505 (2003)
  55. Horvat J et al. Appl. Phys. Lett. 80 829 (2002)
  56. Zharkov G F Phys. Rev. B 63 214502 (2001)
  57. Gorokhov D A Phys. Rev. Lett. 94 077004 (2005)
  58. Ghosh K et al. Phys. Rev. B 52 68 (1995)
  59. Gurevich A et al. Supercond. Sci. Technol. 17 278 (2004)
  60. Patnaik S et al. Supercond. Sci. Technol. 14 315 (2001)
  61. Jung M H et al. Chem. Phys. Lett. 343 447 (2001)
  62. Ferrando V et al. Supercond. Sci. Technol. 16 241 (2003)
  63. Mikheenko P et al. Mod. Phys. Lett. B 17 675 (2003)
  64. Landau I L, Ott H R Physica C 411 83 (2004)
  65. Zhang Y et al. Appl. Phys. Lett. 79 3995 (2001)
  66. Brinkman A et al. Appl. Phys. Lett. 79 2420 (2001)
  67. Moskalenko V A, Palistrant M E, Vakalyuk V M FNT 15 378 (1989)
  68. Mishonov T, Penev E Int. J. Mod. Phys. B 16 3573 (2002)
  69. Askerzade I N Mod. Phys. Lett. B 17 11 (2003)
  70. Kunchur M N, Lee S-I, Kang W N Phys. Rev. B 68 064516 (2003)
  71. Kunchur M N J. Phys. Condens. Matter 16 R1183 (2004)
  72. Sologubenko A V et al. Phys. Rev. B 65 180505 (2002)
  73. Lyard L et al. Phys. Rev. B 66 180502 (2002)
  74. Angst M et al. Physica C 385 143 (2003)
  75. Miranović P, Machida K, Kogan V G J. Phys. Soc. Jpn. 72 221 (2003)
  76. Kogan V G Phys. Rev. B 66 020509 (2002)
  77. Bando H et al. Physica C 412 258 (2004)
  78. Angst M et al. Phys. Rev. Lett. 88 167004 (2002)
  79. Klemm R A, Luther A, Beasley M R Phys. Rev. B 12 877 (1975)
  80. Chandrasekhar B S Appl. Phys. Lett. 1 7 (1962)
  81. Clogston A M Phys. Rev. Lett. 9 266 (1962)
  82. Drechsler S-L et al. Physica C 408 - 410 104 (2004)
  83. Dao V H, Zhitomirsky M E Eur. Phys. J. B 44 183 (2005)
  84. Zhitomirsky M E, Dao V-H Phys. Rev. B 69 054508 (2004)
  85. Koshelev A E, Golubov A A Phys. Rev. Lett. 92 107008 (2004)
  86. Lyard L et al. Phys. Rev. Lett. 92 057001 (2004)
  87. Cubitt R et al. Phys. Rev. Lett. 90 157002 (2003)
  88. Kogan V G, Zhelezina N V Phys. Rev. B 69 132506 (2004)
  89. Bulaevskii L N Zh. Eksp. Teor. Fiz. 64 2241 (1973)
  90. Eisterer M et al. Phys. Rev. B 72 134525 (2005)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions