Effect of electronic interactions on the persistent current in one-dimensional disordered rings

Physical Review B - Condensed Matter and Materials Physics

Volumn 72, Issue 16, 2005, Pages

  Gambetti, E ^a  

^a INSTITUT DE PHYSIQUE ET CHIMIE DES MATÉRIAUX DE STRASBOURG   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 29644438744     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.72.165338     Document Type: Article

References (68)

1. M. Büttiker, Y. Imry, and R. Landauer, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(83)90011-7 96A, 365 (1983).
2. L. P. Lévy, G. Dolan, J. Dunsmuir, and H. Bouchiat, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.2074 64, 2074 (1990).
3. V. Chandrasekhar, R. A. Webb, M. J. Brady, M. B. Ketchen, W. J. Gallagher, and A. Kleinsasser, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.3578 67, 3578 (1991).
4. D. Mailly, C. Chapelier, and A. Benoît, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.2020 70, 2020 (1993).
5. F. von Oppen and E. K. Riedel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.84 66, 84 (1991).
6. B. L. Altshuler, Y. Gefen, and Y. Imry, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.88 66, 88 (1991).
7. A. Schmid, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.80 66, 80 (1991).
8. E. M. Q. Jariwala, P. Mohanty, M. B. Ketchen, and R. A. Webb, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.1594 86, 1594 (2001);
9. W. Rabaud, L. Saminadayar, D. Mailly, K. Hasselbach, A. Benoît, and B. Etienne, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.3124 86, 3124 (2001).
10. D. Loss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.343 69, 343 (1992).
11. G. Montambaux, H. Bouchiat, D. Sigeti, and R. Friesner, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.42.7647 42, R7647 (1990).
12. U. Eckern and P. Schwab, J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1013891902631 126, 1291 (2002), and references therein.
13. V. Ambegaokar and U. Eckern, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.381 65, 381 (1990).
14. G. Bouzerar, D. Poilblanc, and G. Montambaux, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.49.8258 49, 8258 (1994).
15. H. Kato and D. Yoshioka, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.50.4943 50, 4943 (1994).
16. R. Berkovits, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.48.14381 48, 14381 (1993).
17. A. Cohen, K. Richter, and R. Berkovits, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.6223 57, 6223 (1998).
18. M. Abraham and R. Berkovits, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.1509 70, 1509 (1993).
19. P. Schmitteckert, R. A. Jalabert, D. Weinmann, and J.-L. Pichard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.2308 81, 2308 (1998).
20. D. L. Shepelyansky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.2607 73, 2607 (1994).
21. G. Benenti, X. Waintal, and J.-L. Pichard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.1826 83, 1826 (1999).
22. T. Giamarchi and B. S. Shastry, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.10915 51, 10915 (1995).
23. R. A. Römer and A. Punnoose, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.14809 52, 14809 (1995).
24. H. Mori and M. Hamada, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53. 4850 53, 4850 (1996).
25. E. Gambetti-Césare, D. Weinmann, R. A. Jalabert, and P. Brune, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2002-00328-9 60, 120 (2002).
26. Density-Matrix Renormalization-A New Numerical Method in Physics, edited by, I. Peschel,,, X. Wang,,, M. Kaulke,, and, K. Hallberg, (Springer, Berlin, 1999).
27. S. R. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69. 2863 69, 2863 (1992).
28. E. Gambetti-Césare, Ph.D. thesis, Louis Pasteur University, Strasbourg, http://tel.ccsd.cnrs.fr/documents/archives0/00/74/46/index_fr.html
29. J. Hubbard, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 240, 539 (1957);
30. J. Hubbard, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 243, 336 (1958);
31. P. W. Anderson, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.109.1492 109, 1492 (1958).
32. N. Byers and C. N. Yang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.7.46 7, 46 (1961).
33. W. Kohn, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.133.A171 133, A171 (1964).
34. P.- Brune and A. Kampf, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510070054 18, 241 (2001).
35. H. Bouchiat and G. Montambaux, J. Phys. (France) JOPQAG 0302-0738 50, 2695 (1989).
36. D. Weinmann, P. Schmitteckert, R. A. Jalabert, and J.-L. Pichard, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510170359 19, 139 (2001).
37. A. Auerbach, Interacting Electrons and Quantum Magnetism (Springer, New York, 1994), and references therein.
38. E. Lieb and D. Mattis, J. Math. Phys. JMAPAQ 0022-2488 3, 4 (1962);
39. E. H. Lieb, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(61) 90115-4 16, 407 (1961);
40. E. H. Lieb, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.125.164 125, 164 (1962).
41. E. H. Lieb, Proceedings of the Conference "Advances in Dynamical Systems and Quantum Physics", Capri, 1993 (World Scientific, Singapore, 1995), pp. 173-193;
42. Proceedings of the 1993 NATO ASW The Hubbard Model: Its Physics and Mathematical Physics (Plenum, New York, 1995), pp. 1-19;
43. Proceedings of the XIth International Congress of Mathematical Physics, Paris, 1994 (International Press, Cambridge, MA, 1995), pp. 392-412;
44. cond-mat/9311033.
45. H. Tasaki, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/10/20/004 10, 4353 (1998);
46. H. Tasaki, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.99.489 99, 489 (1998).
47. W. Marshall, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 232, 48 (1955).
48. F. Selva and D. Weinmann, Eur. Phys. J. B EPJBFY 1434-6028 18, 137 (2000).
49. A. J. Leggett, in Granular Nanoelectronics, edited by, D. K. Ferry,,, J. R. Barker,, and, C. Jacobini,, NATO Advanced Studies Institute, Series B: Physics (Plenum, New York, 1991).
50. P. A. Lee and T. V. Ramakrishnan, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.57.287 57, 287 (1985);
51. B. Kramer and A. MacKinnon, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/56/12/001 56, 1469 (1993).
52. M. Ramin, B. Reulet, and H. Bouchiat, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.5582 51, 5582 (1995).
53. C. A. Stafford, A. J. Millis, and B. S. Shastry, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.43.13660 43, 13660 (1991).
54. Y. Nagaoka, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.147.392 147, 392 (1966).
55. B. Simon, The Statistical Mechanics of Lattice Gases (Princeton University Press, Princeton, NJ, 1993).
56. Z. Y. Weng, D. N. Sheng, C. S. Ting, and Z. B. Su, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.3318 67, 3318 (1991);
57. Z. Y. Weng, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.50.13837 50, 13837 (1994).
58. A. Müller-Groeling, H. A. Weidenmüller, and C. H. Lewenkopf, Europhys. Lett. EULEEJ 0295-5075 22, 193 (1993);
59. A. Müller-Groeling and H. A. Weidenmüller, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.49.4752 49, 4752 (1994).
60. G. Bouzerar and D. Poilblanc, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.10772 52, 10772 (1994).
61. P. J. H. Denteneer, R. T. Scalettar, and N. Trivedi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.146401 87, 146401 (2001).
62. N. F. Mott, Metal-Insulator Transitions, 2nd ed. (Taylor and Francis, London, 1990).
63. E. H. Lieb and F. Y. Wu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.20.1445 20, 1445 (1968);
64. E. H. Lieb and F. Y. Wu, Physica A PHYADX 0378-4371 10.1016/S0378- 4371(02)00739-2 312, 1 (2003).
65. C. A. Stafford and A. J. Millis, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.48.1409 48, 1409 (1993).
66. R. A. Jalabert, D. Weinmann, and J.-L. Pichard, Physica E (Amsterdam) PELNFM 1386-9477 9, 347 (2001).
67. S. V. Kravchenko, G. V. Kravchenko, J. E. Furneaux, V. M. Pudalov, and M. D'Iorio, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.50.8039 50, 8039 (1994);
68. S. V. Kravchenko, W. E. Mason, G. E. Bowker, J. E. Furneaux, V. M. Pudalov, and M. D'Iorio, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.7038 51, 7038 (1995).