RSS feeds
РусскийEnglish
Issue 4, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2010

 / 

January

←  →

Reviews of topical problems


Superconductor-insulator quantum phase transition

,
Osipyan Institute of Solid State Physics, Russian Academy of Sciences, Akademika Osip'yana str. 2, Chernogolovka, Moscow Region, 142432, Russian Federation

The current understanding of the superconductor — insulator transition is discussed level by level in a cyclic spiral-like manner. At the first level, physical phenomena and processes are discussed which, while of no formal relevance to the topic of transitions, are important for their implementation and observation; these include superconductivity in low electron density materials, transport and magnetoresistance in superconducting island films and in highly resistive granular materials with superconducting grains, and the Berezinskii — Kosterlitz Thouless transition. The second level discusses and summarizes results from various microscopic approaches to the problem, whether based on the Bardeen — Cooper — Schrieffer theory (the disorder-induced reduction in the superconducting transition temperature; the key role of Coulomb blockade in high-resistance granular superconductors; superconducting fluctuations in a strong magnetic field) or on the theory of the Bose — Einstein condensation. A special discussion is given to phenomenological scaling theories. Experimental investigations, primarily transport measurements, make the contents of the third level and are for convenience classified by the type of material used (ultrathin films, variable composition materials, high-temperature superconductors, superconductor — poor metal transitions). As a separate topic, data on nonlinear phenomena near the superconductor — insulator transition are presented. At the final, summarizing, level the basic aspects of the problem are enumerated again to identify where further research is needed and how this research can be carried out. Some relatively new results, potentially of key importance in resolving the remaining problems, are also discussed.

Fulltext pdf (1.1 MB)
Fulltext is also available at DOI: 10.3367/UFNe.0180.201001a.0003
PACS: 74.62.−c, 74.78.−w, 74.81.−g (all)
DOI: 10.3367/UFNe.0180.201001a.0003
URL: https://ufn.ru/en/articles/2010/1/a/
000278717900001
2-s2.0-77954786238
2010PhyU...53....1G
Citation: Gantmakher V F, Dolgopolov V T "Superconductor-insulator quantum phase transition" Phys. Usp. 53 1–49 (2010)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Гантмахер В Ф, Долгополов В Т «Квантовый фазовый переход сверхпроводник-изолятор» УФН 180 3–53 (2010); DOI: 10.3367/UFNr.0180.201001a.0003

References (180) ↓ Cited by (250) Similar articles (20)

  1. Koonce C S et al. Phys. Rev. 163 380 (1967)
  2. Waldram J R Superconductivity Of Metals And Cuprates (Bristol: Institute of Physics Publ., 1996)
  3. Schafroth M R Phys. Rev. 100 463 (1955)
  4. Loktev V M, Quick R M, Sharapov S G Phys. Rep. 349 1 (2001)
  5. Eagles D M Phys. Rev. 186 456 (1969)
  6. Bishop D J, Spencer E G, Dynes R C Solid State Electron. 28 73 (1985)
  7. Gantmakher V F, Dolgopolov V T Usp. Fiz. Nauk 178 3 (2008); Gantmakher V F, Dolgopolov V T Phys. Usp. 51 3 (2008)
  8. Larkin A Ann. Physik 8 785 (1999)
  9. Anderson P W J. Phys. Chem. Solids 11 26 (1959)
  10. Finkel’shtein A M Zh. Eksp. Teor. Fiz. 86 367 (1984); Finkel’shtein A M Sov. Phys. JETP 59 212 (1984)
  11. Finkel’stein A M Physica B 197 636 (1994)
  12. Frydman A Physica C 391 189 (2003)
  13. Frydman A, Naaman O, Dynes R C Phys. Rev. B 66 052509 (2002)
  14. Tuominen M T et al. Phys. Rev. Lett. 69 1997 (1992)
  15. Lafarge P et al. Phys. Rev. Lett. 70 994 (1993)
  16. Matveev K A, Larkin A I Phys. Rev. Lett. 78 3749 (1997)
  17. Emery V J, Kivelson S A Phys. Rev. Lett. 74 3253 (1995)
  18. Emery V J, Kivelson S A Nature 374 434 (1995)
  19. Dynes R C, Garno J P, Rowell J M Phys. Rev. Lett. 40 479 (1978)
  20. Adkins C J, Thomas J M D, Young M W J. Phys. C 13 3427 (1980)
  21. Schmid A Phys. Rev. Lett. 51 1506 (1983)
  22. Kim J-J, Kim J, Lee H J Phys. Rev. B 46 11709 (1992)
  23. Gantmakher V F i dr. Zh. Eksp. Teor. Fiz. 104 3217 (1993); Gantmakher V F et al. JETP 77 513 (1993)
  24. Gerber A et al. Phys. Rev. Lett. 78 4277 (1997)
  25. Beloborodov I S, Efetov K B Phys. Rev. Lett. 82 3332 (1999)
  26. Beloborodov I S, Efetov K B, Larkin A I Phys. Rev. B 61 9145 (2000)
  27. Berezinskii V L Zh. Eksp. Teor. Fiz. 59 907 (1970); Berezinskii V L Sov. Phys. JETP 32 493 (1970)
  28. Kosterlitz J M, Thouless D J J. Phys. C 6 1181 (1973)
  29. Halperin B I, Nelson D R J. Low Temp. Phys. 36 599 (1979)
  30. Fiory A T, Hebard A F, Glaberson W I Phys. Rev. B 28 5075 (1983)
  31. McMillan W L Phys. Rev. B 24 2739 (1981)
  32. Al’tshuler B L, Aronov A G Zh. Eksp. Teor. Fiz. 77 2028 (1979); Al’tshuler B L, Aronov A G Sov. Phys. JETP 50 968 (1979)
  33. Altshuler B L, Aronov A G "Electron - electron interaction in disordered conductors" In Electron - Electron Interactions In Disordered Systems (Eds A L Efros, M Pollak) (Amsterdam: North-Holland, 1985)
  34. Ma M, Lee P A Phys. Rev. B 32 5658 (1985)
  35. Bulaevskii L N, Sadovskii M V J. Low Temp. Phys. 59 89 (1985)
  36. Kotliar G, Kapitulnik A Phys. Rev. B 33 3146 (1986)
  37. Ovchinnikov Yu N Zh. Eksp. Teor. Fiz. 64 719 (1973); Ovchinnikov Yu N Sov. Phys. JETP 37 366 (1973)
  38. Maekawa S, Fukuyama H J. Phys. Soc. Jpn. 51 1380 (1982)
  39. Takagi H, Kuroda Y Solid State Commun. 41 643 (1982)
  40. Finkel’shtein A M Pis’ma ZhETF 45 37 (1987); Finkel’shtein A M JETP Lett. 45 46 (1987)
  41. Graybeal J M, Beasley M R Phys. Rev. B 29 4167 (1984)
  42. Graybeal J M, Beasley M R, Green R L Physica B+C 126 731 (1984)
  43. Spivak B, Zhou F Phys. Rev. Lett. 74 2800 (1995)
  44. Skvortsov M A, Feigel’man M V Phys. Rev. Lett. 95 057002 (2005)
  45. Efetov K B Zh. Eksp. Teor. Fiz. 78 2017 (1980); Efetov K B Sov. Phys. JETP 51 1015 (1980)
  46. Šimánek E Phys. Rev. B 23 5762 (1981)
  47. Fazio R, Giaquinta G Phys. Rev. B 34 4909 (1986)
  48. Fishman R S Phys. Rev. B 38 4437 (1988)
  49. Imry Y, Strongin M Phys. Rev. B 24 6353 (1981)
  50. Foldy L L Phys. Rev. 124 649 (1961)
  51. Kac M, Luttinger J M J. Mat. Phys. 14 1626 (1973)
  52. Gold A Z. Phys. B 52 1 (1983)
  53. Gold A Phys. Rev. A 33 652 (1986)
  54. Bogolubov N N J. Phys. USSR 11 23 (1947)
  55. Fisher M P A et al. Phys. Rev. B 40 546 (1989)
  56. Aslamazov L G, Larkin A I Fiz. Tverd. Tela 10 1104 (1968); Aslamazov L G, Larkin A I Sov. Phys. Solid State 10 875 (1968)
  57. Maki K Prog. Theor. Phys. 40 193 (1968)
  58. Thompson R S Phys. Rev. B 1 327 (1970)
  59. Galitski V M, Larkin A I Phys. Rev. B 63 174506 (2001)
  60. Varlamov A A, Larkin A I Teoriya Fluktuatsii v Sverkhprovodnikakh (M.: Dobrosvet, 2007)
  61. Lee P A, Ramakrishnan T V Rev. Mod. Phys. 57 287 (1985)
  62. Ghosal A, Randeria M, Trivedi N Phys. Rev. Lett. 81 3940 (1998)
  63. Ghosal A, Randeria M, Trivedi N Phys. Rev. B 65 014501 (2001)
  64. Srinivasan B, Benenti G, Shepelyansky D L Phys. Rev. B 66 172506 (2002)
  65. Sondhi S L et al. Rev. Mod. Phys. 69 315 (1997)
  66. Sachdev S Quantum Phase Transitions (Cambridge: Cambridge Univ. Press, 1999)
  67. Caprara S et al. AIP Conf. Proc. 629 3 (2002)
  68. Schneider T, Singer J M Phase Transition Approach To High Temperature Superconductivity (London: Imperial College Press, 2000)
  69. Schneider T et al. Phys. Rev. B 79 184502 (2009)
  70. Fisher M P A, Grinstein G, Girvin S M Phys. Rev. Lett. 64 587 (1990)
  71. Fisher M P A Phys. Rev. Lett. 65 923 (1990)
  72. Blatter G et al. Rev. Mod. Phys. 66 1125 (1994)
  73. Cha M-C et al. Phys. Rev. B 44 6883 (1991)
  74. Abrahams E et al. Phys. Rev. Lett. 42 673 (1979)
  75. Søurensen E S et al. Phys. Rev. Lett. 69 828 (1992)
  76. Fisher M E Rev. Mod. Phys. 70 653 (1998)
  77. Amit D J Field Theory, The Renormalization Group, And Critical Phenomena (Singapore: World Scientific, 1984)
  78. Knyazev D A et al. Phys. Rev. Lett. 100 046405 (2008)
  79. Punnoose A, Finkel’stein A M Science 310 289 (2005)
  80. Anissimova S et al. Nature Phys. 3 707 (2007)
  81. Strongin M et al. Phys. Rev. B 1 1078 (1970)
  82. Nease B et al. Physica B 194-196 2347 (1994)
  83. Haviland D B, Liu Y, Goldman A M Phys. Rev. Lett. 62 2180 (1989)
  84. Marcović N, Christiansen C, Goldman A M Phys. Rev. Lett. 81 5217 (1998)
  85. Liu Y et al. Phys. Rev. B 47 5931 (1993)
  86. Goldman A M, Liu Y Physica D 83 163 (1995)
  87. Valles J M (Jr.), Dynes R C, Garno J P Phys. Rev. B 40 6680 (1989)
  88. Valles J M (Jr.), Dynes R C, Garno J P Phys. Rev. Lett. 69 3567 (1992)
  89. Hsu S-Y, Chervenak J A, Valles J M (Jr.) Phys. Rev. Lett. 75 132 (1995)
  90. Golubov A A, Hartmann U Phys. Rev. Lett. 72 3602 (1994)
  91. Golubov A A, Kupriyanov M Yu J. Low Temp. Phys. 70 83 (1988)
  92. Marcović N et al. Phys. Rev. B 60 4320 (1999)
  93. Adams P W, Herron P, Meletis E I Phys. Rev. B 58 R2952 (1998)
  94. Bielejec E, Ruan J, Wu W Phys. Rev. B 63 100502 (2001)
  95. Bielejec E, Wu W Phys. Rev. Lett. 88 206802 (2002)
  96. Wu W, Bielejec E S Advanced Research Workshop "Meso-06", Chernogolovka, Russia, 14 - 19 June 2006; Wu W, Bielejec E S http://meso06.itp.ac.ru/presentations/Wu.pdf
  97. Butko V Yu, DiTusa J F, Adams P W Phys. Rev. Lett. 85 162 (2000)
  98. Butko V Yu, Adams P W Nature 409 161 (2001)
  99. Wu W AIP Conf. Proc. 850 955 (2006)
  100. Xiong Y M et al. Phys. Rev. B 79 020510(R) (2009); Adams P W, Herron P, Meletis E I Phys. Rev. B 58 R2952 (1998)
  101. Shahar D, Ovadyahu Z Phys. Rev. B 46 10917 (1992)
  102. Kowal D, Ovadyahu Z Solid State Commun. 90 783 (1994)
  103. Hebard A F, Paalanen M A Phys. Rev. Lett. 65 927 (1990)
  104. Paalanen M A, Hebard A F, Ruel R R Phys. Rev. Lett. 69 1604 (1992)
  105. Gantmakher V Int. J. Mod. Phys. B 12 3151 (1998)
  106. Gantmakher V F et al. Pis’ma ZhETF 71 231 (2000); Gantmakher V F et al. JETP Lett. 71 160 (2000)
  107. Gantmakher V F et al. Pis’ma ZhETF 68 337 (1998); Gantmakher V F et al. JETP Lett. 68 363 (1998)
  108. Gantmakher V F et al. Pis’ma ZhETF 71 693 (2000); Gantmakher V F et al. JETP Lett. 71 473 (2000)
  109. Sambandamurthy G et al. Phys. Rev. Lett. 92 107005 (2004)
  110. Gantmakher V F et al. Zh. Eksp. Teor. Fiz. 109 1765 (1996); Gantmakher V F et al. JETP 82 951 (1996)
  111. Steiner M A, Breznay N P, Kapitulnik A Phys. Rev. B 77 212501 (2008)
  112. Kang J H, Kim K J J. Appl. Phys. 86 346 (1999)
  113. Hadacek N, Sanquer M, Villégier J-C Phys. Rev. B 69 024505 (2004)
  114. Baturina T I et al. Pis’ma ZhETF 79 416 (2004); Baturina T I et al. JETP Lett. 79 337 (2004)
  115. Gantmakher V F, Golubkov M V Pis’ma ZhETF 73 148 (2001); Gantmakher V F, Golubkov M V JETP Lett. 73 131 (2001)
  116. Baturina T I et al. Phys. Rev. Lett. 99 257003 (2007)
  117. Baturina T I et al. Physica C 468 316 (2008)
  118. Beschoten B et al. Phys. Rev. Lett. 77 1837 (1996)
  119. Quitmann C et al. Phys. Rev. B 46 11813 (1992)
  120. Mandrus D et al. Phys. Rev. B 44 2418 (1991)
  121. Tamegai T et al. Jpn. J. Appl. Phys. 28 L112 (1989)
  122. Valles J M (Jr.) et al. Phys. Rev. B 39 11599 (1989)
  123. Takagi H et al. Phys. Rev. B 40 2254 (1989)
  124. Fukuzumi Y et al. Phys. Rev. Lett. 76 684 (1996)
  125. Schneider T Phys. Rev. B 67 134514 (2003)
  126. Nakamura Y, Uchida S Phys. Rev. B 47 8369 (1993)
  127. Ellman B et al. Phys. Rev. B 39 9012 (1989)
  128. Chen C Y et al. Phys. Rev. B 51 3671 (1995)
  129. Li Q et al. Phys. Rev. Lett. 99 067001 (2007)
  130. Fridel J J. Physique 49 1561 (1988)
  131. Dzierzawa M et al. Phys. Rev. Lett. 77 3897 (1996)
  132. Zverev V N, Shovkun D V, Naumenko I G Pis’ma ZhETF 68 309 (1998); Zverev V N, Shovkun D V, Naumenko I G JETP Lett. 68 332 (1998)
  133. Segawa K, Ando Y Phys. Rev. B 59 R3948 (1999)
  134. Ando Y et al. Phys. Rev. Lett. 75 4662 (1995)
  135. Yan Y F et al. Phys. Rev. B 52 R751 (1995)
  136. Ando Y et al. Phys. Rev. Lett. 77 2065 (1996)
  137. Sadovskii M V Usp. Fiz. Nauk 171 539 (2001); Sadovskii M V Phys. Usp. 44 515 (2001)
  138. Ishiguro T, Yamaji K, Saito G Organic Superconductors 2nd ed. (Berlin: Springer, 1998)
  139. Sushko Yu V et al. J. Phys. Soc. Jpn. 62 3372 (1993)
  140. Ito H et al. J. Phys. Soc. Jpn. 65 2987 (1996)
  141. Yazdani A, Kapitulnik A Phys. Rev. Lett. 74 3037 (1995)
  142. Mason N, Kapitulnik A Phys. Rev. Lett. 82 5341 (1999)
  143. Okuma S, Terashima T, Kokubo N Phys. Rev. B 58 2816 (1998)
  144. Okuma S, Shinozaki S, Morita M Phys. Rev. B 63 054523 (2001)
  145. Qin Y, Vicente C L, Yoon J Phys. Rev. B 73 100505(R) (2006)
  146. Tanda S, Ohzeki S, Nakayama T Phys. Rev. Lett. 69 530 (1992)
  147. Ichikawa F et al. Solid State Commun. 98 139 (1996)
  148. Gantmakher V F et al. Pis’ma ZhETF 77 498 (2003); Gantmakher V F et al. JETP Lett. 77 424 (2003)
  149. Aubin H et al. Phys. Rev. B 73 094521 (2006)
  150. Caviglia A D et al. Nature 456 624 (2008)
  151. Halperin B I, Nelson D R J. Low Temp. Phys. 36 599 (1979)
  152. Sacépé B "Spectroscopie tunnel dans les films minces proches de la transition supraconducteur - isolant" Ph.D. Thesis (Grenoble: CEA, 2007)
  153. Golubkov M V, Tsydynzhapov G E Pis’ma ZhETF 71 752 (2000); Golubkov M V, Tsydynzhapov G E JETP Lett. 71 516 (2000)
  154. Vicente C L, Qin Y, Yoon J Phys. Rev. B 74 100507(R) (2006)
  155. Sambandamurthy G et al. Phys. Rev. Lett. 94 017003 (2005)
  156. Altshuler B L et al. Phys. Rev. Lett. 102 176803 (2009)
  157. Ovadia M, Sacépé B, Shahar D Phys. Rev. Lett. 102 176802 (2009)
  158. Leggett A J et al. Rev. Mod. Phys. 59 1 (1987)
  159. Penttilá J S et al. Phys. Rev. Lett. 82 1004 (1999)
  160. Fazio R, van der Zant H Phys. Rep. 355 235 (2001)
  161. van der Zant H S J et al. Phys. Rev. B 54 10081 (1996)
  162. Delsing P et al. Phys. Rev. B 50 3959 (1994)
  163. Fazio R, Schön G Phys. Rev. B 43 5307 (1991)
  164. Feigel’man M V, Korshunov S E, Pugachev A B Pis’ma ZhETF 65 541 (1997); Feigel’man M V, Korshunov S E, Pugachev A B JETP Lett. 65 566 (1997)
  165. Tighe T S et al. Phys. Rev. B 47 1145 (1993)
  166. van der Zant H S J et al. Phys. Rev. Lett. 69 2971 (1992)
  167. Chen C D et al. Phys. Rev. B 51 15645 (1995)
  168. Protopopov I V, Feigel’man M V Pis’ma ZhETF 85 621 (2007); Protopopov I V, Feigel’man M V JETP Lett. 85 513 (2007)
  169. Chow E, Delsing P, Haviland D B Phys. Rev. Lett. 81 204 (1998)
  170. Jaksch D et al. Phys. Rev. Lett. 81 3108 (1998)
  171. Greiner M et al. Nature 415 39 (2002)
  172. Billy J et al. Nature 453 891 (2008)
  173. Roati G et al. Nature 453 895 (2008)
  174. Sacépé B et al. Phys. Rev. Lett. 101 157006 (2008)
  175. Escoffier W et al. Phys. Rev. Lett. 93 217005 (2004)
  176. Mirlin A D Phys. Rep. 326 259 (2000)
  177. Feigel’man M V et al. Phys. Rev. Lett. 98 027001 (2007)
  178. Mildenberger A, Evers F, Mirlin A D Phys. Rev. B 66 033109 (2002)
  179. Stewart M D (Jr.) et al. Science 318 1273 (2007)
  180. Sacépé B et al. arXiv:0906.1193
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions