Tunneling in the topological mechanism of superconductivity

Physical Review B - Condensed Matter and Materials Physics

Volumn 57, Issue 14, 1998, Pages 8532-8548

  Abanov, A ^a   Wiegmann, P ^a  

^a LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0542419456     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.57.8532     Document Type: Article

References (53)

1. A. G. Abanov and P. B. Wiegmann, Phys. Rev. Lett. 78, 4103 (1997).
2. D. S. Rokhsar, Phys. Rev. Lett. 70, 493 (1993).
3. R. B. Laughlin, Physica C 234, 280 (1994).
4. D. A. Wollman, D. J. Van Harlingen, W. C. Lee, D. M. Ginsberg, and A. J. Leggett, Phys. Rev. Lett. 71, 2134 (1993).
5. I. Iguchi and Z. Wen, Phys. Rev. B 49, 12 388 (1994).
6. Phys. Rev. BD. A. Brawner and H. R. Ott, 50, 6530 (1994).
7. D. A. Wollman, D. J. Van Harlingen, J. Giapintzakis, and D. M. Ginsberg, Phys. Rev. Lett. 74, 797 (1995).
8. Phys. Rev. Lett.A. Mathai, Y. Gim, R. C. Black, A. Amar, and F. C. Wellstood, 74, 4523 (1995).
9. For a recent discussion, see, P. W. Anderson, special issue of Rev. Mod. Phys. 6, 1085 (1994).
10. P. W. AndersonPhys. Rev. Lett. 64, 1839 (1990).
11. S. Chakravarty and P. W. Anderson, Phys. Rev. Lett. 72, 3859 (1994).
12. V. Ambegaokar and A. Baratoff, Phys. Rev. Lett. 10, 486 (1963).
13. V. L. Geshkenbein and A. I. Larkin, Pis’ma Zh. Éksp. Teor. Fiz. 43, 306 (1986) [ JETP Lett. 43, 395 (1986)].
14. G. Fröhlich, Proc. R. Soc. London, Ser. A 223, 296 (1954).
15. For review, see, S. A. Brazovskii and N. Kirova, Sov. Sci. Rev. Sect. A 5, 99(1984).
16. A. J. Heeger, S. Kivelson, J. R. Schrieffer, and W.-P. Su, Rev. Mod. Phys. 60, 781 (1988).
17. R. B. Laughlin, Phys. Rev. Lett. 60, 2677 (1988).
18. A. Fetter, C. Hanna, and R. Laughlin, Phys. Rev. B 39, 9679 (1989).
19. Y.-H. Chen, F. Wilczek, E. Witten, and B. I. Halperin, Int. J. Mod. Phys. B 3, 1001 (1989).
20. P. Wiegmann, Prog. Theor. Phys. 107, 243 (1992).
21. P. Wiegmann, in Field Theory, Topology, and Condensed Matter Systems, edited by H. Geyer, Lecture Notes in Physics Vol. 456 (Springer, Berlin, 1995), p. 177.
22. The term “zero mode” or “midgap” state is usually used for the case when an additional state lies inside the gap and is separated from both upper and lower parts of the continuum spectrum. This situation occurs in some commensurate cases. Here we use the same name for the states which contribute to the spectral asymmetry between valence and conduction bands but may not be separated from the valence band. See, e.g., A. J. Niemi and G. W. Semenoff, Phys. Rep. 135, 99 (1986).
23. R. Jackiw, in Current Algebra and Anomalies (World Scientific, Singapore, 1985), and references therein.
24. The even degeneracy of a zero mode is a necessary condition of the invariance of the theory under global gauge transformations. E. Witten, Nucl. Phys. B 223, 422 (1983).
25. R. B. Laughlin, Science 242, 525 (1988).
26. D.-H. Lee and S.-C. Zhang, Phys. Rev. Lett. 66, 1220 (1991).
27. Compare with a soliton operator in the sine-Gordon model, S. Mandelstam, Phys. Rev. D 11, 3026 (1975).
28. Y. Aharonov and A. Casher, Phys. Rev. A 19, 2461 (1979).
29. The fact that fermions with opposite spins see each other with opposite fluxes in anyon superfluid has been originally suggested in S. M. Girvin, A. H. MacDonald, M. P. A. Fisher, S.-J. Rey, and J. P. Sethna, Phys. Rev. Lett. 65, 1671 (1990).
30. A. Luther, Phys. Rev. B 19, 320 (1979).
31. Phys. Rev. BA. Luther50, 11 446 (1994).
32. P. W. Anderson, Phys. Rev. Lett. 64, 1839 (1990).
33. J. C. Talstra, S. P. Strong, and P. W. Anderson, Phys. Rev. Lett. 74, 5256 (1995).
34. Yong Ren and P. W. Anderson, Phys. Rev. B 48, 16 662 (1993).
35. For references for a chiral magnetic state, see, Ian Affleck and J. Brad Marston, Phys. Rev. B 37, 3774 (1988).
36. P. Wiegmann, Proceedings of Nobel Symposium 73, Sweden [Phys. Scr. 27, 160 (1989)];
37. D. V. Khveshchenko and P. B. Wiegmann, Mod. Phys. Lett. B 3, 1383 (1989).
38. D. V. KhveshchenkoP. B. WiegmannPhys. Lett. B 225, 279 (1989).
39. X. G. Wen, F. Wilczek, and A. Zee, Phys. Rev. B 39, 11 413 (1990).
40. Y. Hasegawa, P. Lederer, T. M. Rice, and P. Wiegmann, Phys. Rev. Lett. 63, 907 (1989).
41. P. B. Wiegmann, Phys. Rev. Lett. 65, 2070 (1990).
42. Z. Zou, J. L. Levy, and R. B. Laughlin, Phys. Rev. B 45, 993 (1992).
43. A. Luther and V. J. Emery, Phys. Rev. Lett. 33, 589 (1974).
44. A. Finkelshtein, Pis’ma Zh. Éksp. Teor. Fiz. 25, 83 (1977) [JETP Lett. 25, 73 (1977)];
45. P. Wiegmann, J. Phys. C 11, 1583 (1978).
46. S. Spielman et. al Phys. Rev. B 45, 3149 (1992).
47. R. F. Kiefl et. al Phys. Rev. Lett. 63, 2136 (1989).
48. Phys. Rev. Lett.R. F. Kiefl64, 2082 (1990).
49. M. Hagiwara et. al Phys. Rev. Lett. 65, 3181 (1990).
50. R. Laughlin, Z. Zou, and S. Libby, Nucl. Phys. B 348, 693 (1991).
51. C. C. Tsuei et. al Phys. Rev. Lett. 73, 593 (1994).
52. For review of experimental situation, see, J. F. Annett, N. Goldenfeld, and A. J. Leggett, in Physical Properties of High Temperature Superconductors V, edited by D. M. Ginsberg (World Scientific, Singapore, 1996).
53. D. V. Khveshchenko and P. B. Wiegmann, Phys. Rev. Lett. 73, 500 (1994).