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Theoretical aspects of superconductivity in very high magnetic fields

Mark Rasolt and Zlatko Tes̆anović

Mark Rasolt

  • Solid State Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6032

Zlatko Tes̆anović

  • Department of Physics and Astronomy, The Johns Hopkins University, 3400 North Charles Street, Baltimore, Maryland 21218 and Theoretical Division, MS B262, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

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Rev. Mod. Phys. 64, 709 – Published 1 July, 1992

DOI: https://doi.org/10.1103/RevModPhys.64.709

Abstract

This paper reviews the progress made in the last few years in theoretical understanding of the properties of superconductors in very high magnetic fields. The key ingredient in the new understanding is the recognition that the usual negative effect of orbital frustration in a superconducting state, reflected in diamagnetic pair breaking, is obviated when all electrons reside in only the few lowest Landau levels. A new relation between the superconducting order parameter and the magnetic field now exists which permits a strong enhancement of the critical temperature with increasing magnetic field. The issue of Pauli pair breaking and the effect of impurities in this new state are also discussed, along with the important observation that the attractive component of the effective electron-electron interaction in systems with low carrier density is enhanced with increasing magnetic field. While this paper emphasizes the theoretical aspects of this high-field limit, it does present a unified picture of superconductivity throughout the whole temperature and magnetic-field phase diagram. Numerical applications to simple models of low-carrier-density semiconductors and semimetals are also discussed, since these materials are the most likely candidates for this new phase.

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References (74)

  1. Abrikosov, A. A., 1957, Zh. Eksp. Teor. Fiz. 32, 1442
  2. Abrikosov, A. A., 1969, Zh. Eksp. Teor. Fiz. 56, 1391
  3. Akera, H., A. H. MacDonald, S. Girvin, and M. R. Norman, 1991, Phys. Rev. Lett. 67, 2375
  4. Aslamasov, L. G., and A. I. Larkin, 1968, Phys. Lett. 26, 238A
  5. Bardeen, J., L. N. Cooper, and J. R. Schrieffer, 1957, Phys. Rev. D 106, 162 ibid.108, 1175
  6. Berghuis, P., A. L. F. van der Slot, and P. H. Kes, 1990, Phys. Rev. Lett. 65, 2583
  7. Brandt, E. H., 1991, Int. J. Mod. Phys. B 5, 751
  8. Brazovskii, S. A., 1971, Zh. Eksp. Teor. Fiz. 61, 2401
  9. Brézin, E., A. Fujita, and S. Hikami, 1990, Phys. Rev. Lett. 65, 1949
  10. Brézin, E., D. R. Nelson, and A. Thiaville, 1985, Phys. Rev. B 31, 7124
  11. Brey, L., and B. I. Halperin, 1989, Phys. Rev. B 40, 11634
  12. Celli, V., and N. D. Mermin, 1965, Phys. Rev. A 140, 839
  13. Cohen, M. L., 1969, in Superconductivity, edited by R. D. Parks (Dekker, New York), Vol. I, p. 615
  14. de Gennes, P. G., 1966, Superconductivity of Metals and Alloys (Benjamin, New York/Amsterdam)
  15. Dukan, S., A. V. Andreev, and Z. Tešanović, 1991, Physica C183, 355
  16. Eilenberger, G., 1967, Phys. Rev. 153, 584
  17. Fröhlich, H., and C. Terreaux, 1965, Proc. Phys. Soc. 86, 233
  18. Fukuyama, H., 1978, Solid State Commun. 26, 783
  19. Fulde, P., and R. A. Ferrell, 1964, Phys. Rev. 135, 550
  20. Gor'kov, L. P., 1958, Zh. Eksp. Teor. Fiz. 34, 735
  21. Gossard, A. C., B. I. Halperin, and R. M. Westervelt, 1987, unpublished
  22. Gruenberg, L. W., and L. Gunther, 1968, Phys. Rev. 176, 606
  23. Gunther, L., and L. W. Gruenberg, 1966, Solid State Commun. 4, 329
  24. Gwinn, E. G., R. M. Westervelt, P. F. Hopkins, A. J. Rimberg, M. Sundaram, and A. C. Gossard, 1989, Phys. Rev. B 39, 6260
  25. Halperin, B. I., 1987, Jpn. J. Appl. Phys. 26, Suppl. 26-3, 1913
  26. Halperin, B. I., T. C. Lubensky, and S. K. Ma, 1974, Phys. Rev. Lett. 32, 292
  27. Houghton, A., R. A. Pelcovits, and A. Sudbo, 1919, Phys. Rev. B 40, 6763
  28. Kleener, W. H., L. M. Roth, and S. H. Autler, 1964, Phys. Rev., 133, 1226A
  29. Kohn, W., and L. J. Sham, 1965, Phys. Rev. 140, 1133A
  30. Laughlin, R. B., 1983a, Phys. Rev. Lett. 50, 1395
  31. Laughlin, R. B., 1983b, Phys. Rev. B 27, 3383
  32. Lee, P. A., and S. R. Shenoy, 1972, Phys. Rev. Lett. 28, 1025
  33. MacDonald, A. H., H. Akera, and M. R. Norman, 1992, Phys. Rev. B 45, 10147
  34. Maniv, T., R. S. Markiewicz, I. D. Vagner, and P. Wyder, 1990, Physica B 165&166, 361
  35. Maniv, T., A. I. Rom, I. D. Vagner, and P. Wyder, 1992, Phys. Rev. B (in press)
  36. Maniv, T., and Z. Tešanović, 1991, unpublished
  37. Markiewicz, R. S., I. D. Vagner, P. Wyder, and T. Maniv, 1988, Solid State Commun. 67, 43
  38. Nelson, D. R., 1988, Phys. Rev. Lett. 60, 1973
  39. Nelson, D. R., and H. S. Seung, 1989, Phys. Rev. B 39, 9153
  40. Nicopoulos, V. N., and P. Kumar, 1991, Phys. Rev. B 44, 12 080
  41. Norman, M. R., 1990, Phys. Rev. B 42, 6762
  42. Norman, M. R., 1991, Phys. Rev. Lett. 66, 842
  43. Norman, M. R., H. Akera, and A. H. MacDonald, 1992, in Physical Phenomena at High Magnetic Fields, edited by E. Manousakis (Addision-Wesley, Reading, MA), p. 326
  44. Olivera, L. N., E. K. U. Gross, and W. Kohn, 1988, Phys. Rev. Lett. 60, 2430
  45. Olivera, L. N.E. K. U. GrossW. KohnParks, R. D., 1969, Ed., Superconductivity (Dekker, New York)
  46. Rajagopal, A. K., and J. C. Ryan, 1991, Phys. Rev. B 44, 10 280
  47. Rajagopal, A. K., and R. Vasudevan, 1966a, Phys. Lett. 20, 585
  48. Rajagopal, A. K., and R. Vasudevan, 1966b, Phys. Lett. 23, 539
  49. Rasolt, M., 1987, Phys. Rev. Lett. 58, 1482
  50. Rasolt, M., 1990, in Solid State Physics, Vol. 43, edited by H. Ehrenreich and D. Turnbull (Academic, New York), p. 93
  51. Rasolt, M., 1991, "Superconductivity induced by very high magnetic fields: Thermodynamics and transport properties," Proceedings of Strongly Correlated Electron Systems, Gordon Godfrey Workshop on Condensed Matter Physics, University of New South Wales, Australia, 1991 (Nova, New York, in press)
  52. Rasolt, M., 1992, in Physical Phenomena at High Magnetic Fields, edited by E. Manousakis , unpublished
  53. Rasolt, M., and Z. Tešanović, 1990, in Field Theories in Condensed Matter Physics, edited by Z. Tešanović (Addison-Wesley, Menlo Park, CA), p. 167
  54. Rasolt, M., and G. Vignale, 1990, Phys. Rev. Lett. 65, 1498
  55. Rieck, C. T., K. Scharnberg, and R. A. Klemm, 1990, Physica C 170, 195
  56. Ruggeri, G. J., and D. J. Thouless, 1976, J. Phys. F 6, 2063
  57. Sajoto, T., J. Jo, L. Engel, M. Santos, and M. Shayegan, 1989, Phys. Rev. B 39, 10464
  58. Scharnberg, K., and C. T. Rieck, 1991, Phys. Rev. Lett. 66, 841
  59. Schrieffer, J. R., 1959, Phys. Rev. Lett. 3, 323
  60. Sólyom, J., 1979, Adv. Phys. 28, 201
  61. Stephen, M. J., 1991, Phys. Rev. B 43, 1212
  62. Stephen, M. J., 1992, Phys. Rev. B 45, 5481
  63. Tešanović, Z., 1991, Phys. Rev. B 44, 12 635
  64. Tešanović, Z., and B. I. Halperin, 1987, Phys. Rev. B 36, 4888
  65. Tešanović, Z., M. Rasolt, A. V. Andreev, and S. Dukan, 1991, unpublished
  66. Tešanović, Z., M. Rasolt, and L. Xing, 1989, Phys. Rev. Lett. 63, 2425
  67. Tešanović, Z., M. Rasolt, and L. Xing, 1991a, Phys. Rev. Lett. 66, 843
  68. Tešanović, Z., M. Rasolt, and L. Xing, 1991b, Phys. Rev. B 43, 288
  69. Tešanović, Z., and L. Xing, 1991, Phys. Rev. Lett. 67, 2723
  70. Vignale, G., and M. Rasolt, 1987, Phys. Rev. Lett. 59, 2360
  71. Vignale, G., and M. Rasolt, 1988, Phys. Rev. B 37, 10685
  72. Xing, L., and Z. Tešanović, 1990, Phys. Rev. Lett. 65, 794
  73. Yakovenko, V. M., 1987, Zh. Eksp. Teor. Fiz. 93, 627
  74. Zimanyi, G. T., S. A. Kivelson, and A. Luther, 1988, Phys. Rev. Lett. 60, 2089

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Rev. Mod. Phys. 64, 709– Published 1 July, 1992

    © 1992 American Physical Society

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