Superconductivity of very thin films: The superconductor-insulator transition

Physica C: Superconductivity and its Applications

Volumn 514, Issue , 2015, Pages 130-141

  Lin, Yen Hsiang ^a,b   Nelson, J ^a   Goldman, A M ^a  

^a University of Minnesota   (United States)

^b University of Maryland   (United States)

Author keywords

Quantum phase transition; SIT; Superconductor insulator

Indexed keywords

CONDENSED MATTER PHYSICS; COPPER COMPOUNDS; INTERFACES (MATERIALS); PHASE TRANSITIONS; SUPERCONDUCTING DEVICES; SUPERCONDUCTING FILMS;

FOCUS OF RESEARCHES; MACROSCOPIC AND MICROSCOPIC; METALLIC INTERFACES; QUANTUM PHASE TRANSITIONS; SUPERCONDUCTING STATE; SUPERCONDUCTOR INSULATOR TRANSITIONS; SURFACE AND INTERFACES; THIN SUPERCONDUCTING FILMS;

ULTRATHIN FILMS;

EID: 84929325528     PISSN: 09214534     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physc.2015.01.005     Document Type: Review

References (132)

1. Subir Sachdev Quantum Phase Transitions second ed. 2011 Cambridge University Press Cambridge
2. A. Gerber, A. Milner, G. Deutscher, M. Karpovsky, and A. Gladkikh Insulator-superconductor transition in 3D granular films Phys. Rev. Lett. 78 1997 4277
3. H.S.J. van der Zant, W.J. Elion, L.J. Geerligs, and J.E. Mooij Quantum phase transitions in two dimensions: experiments in Josephson junction arrays Phys. Rev. B 54 1996 10081
4. Christof Bruder, Rosario Fazio, and Gerd Schon The Bose-Hubbard model from Josephson junction arrays to optical lattices Ann. Phys. (Leipzig) 9-10 2005 566
5. G. Sambandamurthy, L.W. Engel, A. Johansson, and D. Shahar Experimental evidence for a collective insulating state in two-dimensional superconductors Phys. Rev. Lett. 94 2005 017003
6. T.I. Baturina, A.Yu. Mironov, V.M. Vinokur, M.R. Baklanov, and C. Strunk Localized superconductivity in the quantum-critical region of the disorder-driven superconductor-insulator-transition in TiN thin films Phys. Rev. Lett. 99 2007 257003
7. V.Yu. Butko, and P.W. Adams Quantum metallicity in a two-dimensional insulator Nature 409 2001 161
8. T.I. Baturina, C. Strunk, M.R. Baklanov, and A. Satta Quantum metallicity on the high-field side of the superconductor-insulator transition Phys. Rev. Lett. 98 2007 127003
9. M. Steiner, G. Boebinger, and A. Kapitulnik Possible field-tuned superconductor-insulator transition in high-Tc superconductors: implications for pairing at high magnetic fields Phys. Rev. Lett. 94 2005 107008
10. Yonatan Dubi, Yigal Meir, and Yishai Avishai Nature of the superconductor-insulator transition in disordered superconductors Nature 449 2007 876
11. Y. Seo, Y. Qin, C.L. Vicente, K.S. Choi, and Jongsoo Yoon Origin of nonlinear transport across the magnetically induced superconductor-metal-insulator transition in two dimensions Phys. Rev. Lett. 97 2006 057005
12. Yongguang Qin, C.L. Vicente, and Jongsoo Yoon Magnetically induced metallic phase in superconducting tantalum films Phys. Rev. B 73 2006 100505(R)
13. M.D. Stewart Jr., Aijun Yin, J.M. Xu, and James M. Valles Jr. Superconducting pair correlations in an amorphous insulating nanohoneycomb film Science 318 2007 1273
14. R. Crane, N.P. Armitage, A. Johansson, G. Sambandamurthy, D. Shahar, and G. Gruner Survival of superconducting correlations across the two-dimensional superconductor-insulator transition: a finite-frequency study Phys. Rev. B 75 2007 184530
15. K.H. Sarwa, B. Tan, Kevin A. Parendo, and A.M. Goldman Evidence of spatially inhomogeneous pairing on the insulating side of a disorder-tuned superconductor-insulator transition Phys. Rev. B 78 2008 014506
16. A. Pourret, H. Aubin, J. Lesueur, C.A. Marrache-Kikuchi, L. Berge, L. Dumoulin, and K. Behnia Observation of the Nernst signal generated by fluctuating Cooper pairs Nat. Phys. 2 2008 683
17. 0.85 Phys. Rev. B 76 2007 214504
18. x Europhys. Lett. 83 2008 57005
19. Kevin A. Parendo, K.H. Sarwa, B. Tan, A. Bhattacharya, M. Eblen-Zayas, N. Staley, and A.M. Goldman Electrostatic tuning of the superconductor-insulator transition in two dimensions Phys. Rev. Lett. 94 2005 197004
20. Kevin A. Parendo, K.H. Sarwa, B. Tan, and K.H.A.M. Goldman Electrostatic and parallel-magnetic-field tuned two-dimensional superconductor-insulator transitions Phys. Rev. B 73 2006 174527
21. 4 at the pair quantum resistance Nature 472 2011 458
22. 7-x films Phys Rev. Lett. 107 2011 027001
23. 4 + δ thin films Phys. Rev. B 87 2013 024509
24. 3 interface ground state Nature 456 2008 624
25. 3 heterostructures induced by high-mobility carrier doping Phys. Rev. Lett. 108 2012 247004
26. P.W. Anderson Theory of dirty superconductors J. Phys. Chem. Solids 11 1959 26
27. A.A. Abrikosov, and L.P. Gor'kov Superconducting alloys at non-zero temperatures Zh. Eksp. Teor. Fiz. (USSR) 36 1959 319
28. P.A. Lee, and T.V. Ramakrishnan Disordered electronic systems Rev. Mod. Phys. 57 1985 287
29. A.I. Shal'nikov Superconducting properties of thin metallic layers Zh. Eksp. Teor. Fiz. 10 1940 630
30. W. Buckel, and R. Hilsch Influence of condensation at low temperatures on the electrical resistance and superconduction of various metals Z. Phys. 138 1954 109
31. R.E. Glover Ideal resistive transition of a superconductor Phys. Lett. 25A 1967 542
32. Myron Strongin, R.S. Thompson, O.F. Kammerer, and J.E. Crow Destruction of superconductivity in disordered near-monolayer films Phys. Rev. B 1 1970 1078
33. R.C. Dynes, J.P. Garno, and J.M. Rowell Two-dimensional electrical conductivity in quench-condensed metal films Phys. Rev. Lett. 40 1978 479
34. M. Ma, and P.A. Lee Localized superconductors Phys. Rev. B 32 1985 5658
35. J.E. Mooij Allen M. Goldman, Stuart A. Wolf, Percolation Localization and Superconductivity 1983 Plenum Press New York and London 325
36. Elihu Abrahams, Sergey V. Kravchenko, and Myriam P. Sarachik Metallic behavior and related phenomena in two dimensions Rev. Mod. Phys. 73 2001 251
37. S. Maekawa, and H. Fukuyama Localization effects in two-dimensional superconductors J. Phys. Soc. Jpn. 51 1982 1380
38. H. Ebisawa, H. Fukuyama, and S. Maekawa Superconducting transition temperature of dirty thin films in weakly localized regime J. Phys. Soc. Jpn. 54 1985 2257
39. A.M. Finkel'stein Suppression of superconductivity in homogeneously disordered systems Zh. Eksp. Teor. Fiz. 45 1987 37 [Sov. Phys. JETP Lett. 45 (1987) 46]
40. A.M. Finkel'stein Suppression of superconductivity in homogeneously disordered systems Physica B 197 1994 636
41. Matthew P.A. Fisher Quantum phase transitions in disordered two-dimensional superconductors Phys. Rev. Lett. 65 1990 923
42. D.B. Haviland, Y. Liu, and A.M. Goldman Onset of superconductivity in the two-dimensional limit Phys. Rev. Lett. 62 1989 2180
43. A.F. Hebard, and M.A. Paalanen Magnetic-field-tuned superconductor-insulator transition in two-dimensional films Phys. Rev. Lett. 65 1990 927
44. A. Larkin Superconductor-insulator transitions in films and bulk materials Ann. Phys. (Leipzig) 8 1999 785
45. Y.M. Strelniker, A. Frydman, and S. Havlin Percolation model for the superconductor-insulator transition in granular films Phys. Rev. B 76 2007 224528
46. J.M. Graybeal, and M.R. Beasley Localization and interaction effects in ultrathin amorphous superconducting films Phys. Rev. B 29 1984 4167
47. Matthew P.A. Fisher, G. Grinstein, and S.M. Girvin Presence of quantum diffusion in two dimensions: universal resistance at the superconductor-insulator transition Phys. Rev. Lett. 64 1990 587
48. Min-Chul Cha, Matthew P.A. Fisher, S.M. Girvin, Mats Wallin, and Peter Young Universal conductivity of two dimensional films at the superconductor-insulator transition Phys. Rev. B 44 1991 6883
49. S. Doniach Quantum fluctuations in two-dimensional superconductors Phys. Rev. B 24 1981 5063
50. X.G. Wen, and A. Zee Universal conductance at the superconductor-insulator transition Int. J. Mod. Phys. B 4 1990 437
51. H.M. Jaeger, D.B. Haviland, B.G. Orr, and A.M. Goldman Onset of superconductivity in ultrathin granular metal films Phys. Rev. B 40 1989 182
52. B.G. Orr, H.M. Jaeger, and A.M. Goldman Transitionerature oscillations in thin superconducting films Phys. Rev. Lett. 53 1984 2046
53. Gou Superconductivity modulated by quantum size effects Science 306 2004 1915 1917
54. Ali Yazdani, and Aharon Kapitulnik Superconducting-insulating transition in two-dimensional a-MoGe thin films Phys. Rev. Lett. 74 1995 3037
55. V.F. Gantmakher, M.V. Golubkov, V.T. Dolgopolov, G.E. Tsydynzhapov, and A.A. Shashkin Superconductor-insulator transition in amorphous In-O films Physica B 284-288 2000 649
56. N. Markovic, C. Christiansen, and A.M. Goldman Thickness-magnetic field phase diagram at the superconductor-insulator transition in 2D Phys. Rev. Lett. 81 1998 5217
57. N. Markovic, C. Christiansen, A.M. Mack, W.H. Huber, and A.M. Goldman Superconductor-insulator transition in two dimensions Phys. Rev. B 60 1999 4320
58. N. Markovic, A.M. Mack, G. Martinez-Arizala, C. Christiansen, and A.M. Goldman Evidence of vortices on the insulating side of the superconductor-insulator transition Phys. Rev. Lett. 81 1998 701
59. Myles Steiner, Nicholas P. Breznay, and Aharon Kapitulnik Approach to a superconductor-to-Bose-insulator transition in disordered films Phys. Rev. B 77 2008 212501
60. Wenhao Wu, Private Communication.
61. A. Gold Dynamical conductivity of the two-dimensional Bose condensate: superfluid-insulator transition for a long-range random potential Z. Phys. B 87 1992 169
62. W. Krauth, N. Trivedi, and D. Ceperley Superfluid-insulator transition in disordered boson systems Phys. Rev. Lett. 67 1991 2307
63. M. Makivic, N. Trivedi, and S. Ullah Disordered bosons: critical phenomena and evidence for new low energy excitations Phys. Rev. Lett. 71 1993 2307
64. Nandini Trivedi, Richard T. Scalettar, and Mohit Randeria Superconductor-insulator transition in a disordered electronic system Phys. Rev. B 54 1996 3756(R)
65. Karl-Heinz Wagenblast, Anne van Otterlo, Gerd Schon, and Gergely T. Zimanyi Superconductor-insulator transition in a tunable dissipative environment Phys. Rev. Lett. 79 1997 2730
66. Philip Phillips, and Denis Dalidovich Electron-like quasiparticles drive the superconductor-insulator transition in homogeneously disordered thin films Philos. Mag. B 81 2001 847
67. J.M. Valles Jr., R.C. Dynes, and J.P. Garno Superconductivity and the electronic density of states in disordered two-dimensional metals Phys. Rev. B 40 1989 6680
68. R.A. Smith, Michael Yu. Reizer, and John W. Wilkins Suppression of the order parameter in homogeneous disordered superconductors Phys. Rev. B 51 1995 6470
69. J.M. Valles Jr., R.C. Dynes, and J.P. Garno Electron tunneling determination of the order-parameter amplitude at the superconductor-insulator transition in 2D Phys. Rev. Lett. 69 1995 3567
70. Shih-Ying Hsu, J.A. Chervenak, and J.M. Valles Jr. Magnetic field enhanced order parameter amplitude fluctuations in ultrathin films near the superconductor-insulator transition Phys. Rev. Lett. 75 1995 132
71. D. Sherman, G. Kopnov, D. Shahar, and A. Frydman Measurement of a superconducting energy gap in a homogeneously amorphous insulator Phys. Rev. Lett. 108 2012 177006
72. Benjamin Sacepe, Thomas Dubouchet, Claude Chapelier, Marc Sanquer, Maoz Ovadia, Dan Shahar, Mikhail Feigel'man, and Lev Ioffe Localization of preformed Cooper pairs in disordered superconductors Nat. Phys. 7 2011 239
73. J.S. Meyer, and B.D. Simons Gap fluctuations in inhomogeneous superconductors Phys. Rev. B 64 2001 134516
74. S.L. Sondhi, S.M. Girvin, J.P. Carini, and D. Shahar Continuous quantum phase transitions Rev. Mod. Phys. 69 1997 315
75. Igor F. Herbut Quantum critical points with the Coulomb interaction and the dynamical exponent: when and why z=1 Phys. Rev. Lett. 87 2001 137004
76. M.A. Paalanen, A.F. Hebard, and R.R. Ruel Lowerature insulating phases of uniformly disordered two-dimensional superconductors Phys. Rev. Lett. 69 1992 1604
77. S. Okuma, and N. Kokubo Unusual insulating phase at low temperature in thin indium films Phys. Rev. B 51 1995 15415
78. x thin films Phys. Rev. B 51 1995 15448
79. 6.38 Phys. Rev. B 45 1992 10162
80. T. Wang, K.M. Beauchamp, D.D. Berkley, B.R. Johnson, J.-X. Liu, J. Zhang, and A.M. Goldman Onset of high temperature superconductivity in the two-dimensional limit Phys. Rev. B 43 1991 8823
81. 1-x Phys. Rev. B 58 1998 2816
82. J.T. Chayes, L. Chayes, Daniel S. Fisher, and T. Spencer Finite-size scaling and correlation lengths for disordered systems Phys. Rev. Lett. 57 1986 2999
83. Nadya Mason, and Aharon Kapitulnik Superconductor-insulator transition in a capacitively coupled dissipative environment Phys. Rev. B 65 2002 220505(R)
84. J.S. Parker, D.E. Read, A. Kumar, and P. Xiong Superconducting quantum phase transitions tuned by magnetic impurity and magnetic field in ultrathin a-Pb films Europhys. Lett. 75 2006 950
85. Kevin A. Parendo, K.H. Sarwa, B. Tan, A. Bhattacharya, M. Eblen-Zayas, N. Staley, A.M. Goldman, Tuning the 2D superconductor insulator transition by use of the electric field effect, in: AIP Conference Proceedings, vol. 850, 2006, p. 949s.
86. Nadya Mason, and Aharon Kapitulnik Dissipation effects on the superconductor-insulator transition in 2D superconductors Phys. Rev. Lett. 82 1999 5341
87. J.A. Chervenak, and J.M. Valles Jr. Absence of a zeroerature vortex solid phase in strongly disordered superconducting Bi films Phys. Rev. B 61 2000 9245(R)
88. Yongguang Qin, C.L. Vicente, and Yongsoo Yoon Magnetically induced metallic phase in superconducting tantalum films Phys. Rev. B 73 2006 100505
89. Sumanta Tewari Crossover and scaling in a two-dimensional field-tuned superconductor Phys. Rev. B 69 2004 014512
90. Aharon Kapitulnik, Nadya Mason, Steven A. Kivelson, and Sudip Charkravarty Effects of dissipation on quantum phase transitions Phys. Rev. B 63 2001 125322
91. I.V. Yurkevich, and Igor V. Lerner Granular superconductors: from the nonlinear σ model to the Bose-Hubbard description Phys. Rev. B 64 2001 054515
92. Albert Schmid Diffusion and localization in a dissipative quantum system Phys. Rev. Lett. 51 1983 1506
93. A.J. Rimberg, T.R. Ho, C. Kurdak, John Clarke, K.L. Campman, and A.C. Gossard Dissipation-driven superconductor-insulator transition in a two-dimensional Josephson-junction array Phys. Rev. Lett. 78 1997 2632
94. Ashvin Vishwanath, Joel E. Moore, and T. Senthil Screening and dissipation at the superconductor-insulator transition induced by a metallic ground plane Phys. Rev. B 69 2004 054507
95. Kevin A. Parendo, K.H. Sarwa Tan, and A.M. Goldman Hot-electron effects in the two-dimensional superconductor-insulator transition Phys. Rev. B 74 2006 134517
96. C. Christiansen, L.M. Hernandez, and A.M. Goldman Evidence of collective charge behavior in the insulating state of ultrathin films of superconducting metals Phys. Rev. Lett. 88 2002 037004
97. Kevin A. Parendo, K.H. Sarwa Tan, and A.M. Goldman Evolution towards superconductivity in granular films of bismuth Phys. Rev. B 76 2007 100508
98. D. Das, and S. Doniach Existence of a Bose metal at T = 0 Phys. Rev. B 60 1999 1261
99. Denis Dalidovich, and Philip Phillips Phase glass is a Bose metal: a new conducting state in two dimensions Phys. Rev. Lett. 89 2002 027001
100. Ta Kai Ng, and Derek K.K. Lee Possibility of a metallic phase in granular superconducting films Phys. Rev. B 63 2001 144509
101. Philip Phillips, and Denis Dalidovich The elusive Bose metal Science 302 2003 243
102. Matthew P.A. Fisher Hall effect at the magnetic-field-tuned superconductor-insulator transition Physica A 177 1991 553
103. G. Sambandamurthy, L.W. Engel, A. Johansson, and D. Shahar Superconductivity-related insulating behavior Phys. Rev. Lett. 92 2004 107005
104. T.I. Baturina, A.Yu. Mironov, V.M. Vinokur, M.R. Baklanov, and C. Strunk Localized superconductivity in the quantum-critical region of the disorder-driven superconductor-insulator transition in TiN thin films Phys. Rev. Lett. 99 2007 257003
105. Myles Steiner, and Aharon Kapitulnik Superconductivity in the insulating phase above the field-tuned superconductor-insulator transition in disordered indium oxide films Physica C 422 2005 16
106. Y.J. Lee, Y.S. Kim, E.N. Bang, H. Lim, and H.K. Shin Magnetoresistance of amorphous indium oxide films on the insulating side near the superconductor-insulator transition J. Phys.: Condens. Mater. 13 2001 8135
107. Tatyana I. Baturina, D.R. Islamov, Z.D. Kvon, M.R. Baklanov, A. Satta, High-field side of superconductor-insulator transition, arXivcond-mat/0210250.
108. Valerii M. Vinokur, Tatyana I. Baturina, Mikhail V. Fistul, Aleksey Yu. Mironov, and Mikhail R. Baklanov Superinsulator and quantum synchronization Nature 452 2008 613
109. M.V. Fistul, V.M. Vinokur, and T.I. Baturina Collective Cooper-pair transport in the insulating state of Josephson-junction arrays Phys. Rev. Lett. 100 2008 086805
110. M.V. Fistul, V.M Vinokur, T.I. Baturina, Macroscopic Coulomb blockade in large Josephson junction arrays, arXiv:0806.4311.
111. K.B. Efetov, M.V. Feigel'man, P.B. Wiegmann, Comment on superinsulator and quantum synchronization, arXiv:0804.3775v3.
112. M. Ovadia, B. Sacepe, and D. Shahar Electron-phonon decoupling in disordered insulators Phys. Rev. Lett. 102 2009 176802
113. B. Altschuler, V.E. Kravtsov, I.V. Lerner, and I.L. Aleiner Jumps in current-voltage characteristics in disordered films Phys. Rev. Lett. 102 2009 176803
114. N. Markovic, A.M. Mack, G. Martinez-Arizala, C. Christiansen, and A.M. Goldman Evidence of vortices on the insulating side of the superconductor-insulator transition Phys. Rev. Lett. 81 1998 701
115. V.F. Gantmakher Superconductor insulator transitions and insulators with localized pairs Phys. Usp. 41 1998 214
116. Efrat Shimshoni, Assa Auerbach, and Aharon Kapitulnik Transport through quantum melts Phys. Rev. Lett. 80 1998 3352
117. K. Sheshadri, H.R. Krishnamurthy, Rahul Pandit, and T.V. Ramakrishnan Percolation-enhanced localization in the disordered Bosonic Hubbard model Phys. Rev. Lett. 75 1995 4075
118. Amit Ghosal, Mohit Randeria, and Nandini Trivedi Inhomogeneous pairing in highly disordered s-wave superconductors Phys. Rev. B 65 2001 014501
119. Yonatan Dubi, Yigal Meir, and Yshai Avishai Unifying model for several classes of two-dimensional phase transition Phys. Rev. Lett. 94 2005 156406
120. R.P. Barber Jr., L.M. Merchant, A. La Porta, and R.C. Dynes Tunneling into granular Pb films in the superconducting and insulating regimes Phys. Rev. B 49 1994 3409
121. Ksarim Bouadim, Yen Lee Loh, Mohit Randeria, and Nandini Trivedi Single- and two-particle energy gaps across the disorder-driven superconductor-insulator transition Nat. Phys. 7 2011 884
122. S.M. Hollen, G.E. Fernandes, J.M. Xu, and J.M. Valles Jr. Collapse of the Cooper pair phase coherence length at a superconductor-to-insulator transition Phys. Rev. B 87 2013 054512
123. Yen-Hsiang Lin, and A.M. Goldman Magnetic-field-tuned quantum phase transition in the insulating regime of ultrathin amorphous Bi films Phys. Rev. Lett. 1106 2011 127003
124. Yen-Hsiang Lin, J. Nelson, and A.M. Goldman The role of mesoscopic disorder in determining the character of the field-induced insulating regime of amorphous ultrathin films Physica C 497 2014 102
125. U. Givan, and Z. Ovadyahu Compositional disorder and transport peculiarities in the amorphous indium oxides Phys. Rev. B 86 2012 86 165101
126. SrTiO 3, Nat. Mater. (2014) (advanced online publication).
127. SrTiO 3 Nature 515 7526 2014 245 248
128. W.H. Brattain, and C.G.B. Garrett Experiments on the interface between germanium and an electrolyte Bell Syst. Tech. J. 34 1955 129
129. Steven G. Haupt, David R. Riley, Christopher T. Jones, Jinai Zhao, and John T. McDevitt Reversible modulation of Tc in conductive polymer/high temperature superconductor assemblies J. Am. Chem. Soc. 115 1993 1196
130. 2 by electric field-induced oxygen vacancy formation Science 339 2013 1402
131. V.F. Gantmakher, and V.T. Dolgopolov Superconductor-insulator quantum phase transition Phys. Usp. 53 2010 1
132. W.A. Little Vitaly Ginzburg and high temperature superconductivity J. Supercond. Novel Mater. 19 2006 443