Nonequilibrium dephasing in two-dimensional indium oxide films

Physical Review B - Condensed Matter and Materials Physics

Volumn 63, Issue 23, 2001, Pages

  Ovadyahu, Z ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

INDIUM; METAL OXIDE;

ARTICLE; CRYSTALLIZATION; DIFFUSION; FILM; MAGNETIC FIELD; MATHEMATICAL ANALYSIS; TEMPERATURE DEPENDENCE; THEORY;

EID: 0001762587     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.63.235403     Document Type: Article

References (69)

1. For reviews, see G. Bergmann, Phys. Rep. 107, 1 (1984);
2. S. Kobayashi and F. Komori, Prog. Theor. Phys. Suppl. 84, 224 (1985);
3. P. A. Lee and T. V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985).
4. E. Abrahams P. W. Anderson, P. A. Lee, and T. V. Ramakrishnan, Phys. Rev. B 24, 6783 (1981);
5. B. L. Altshuler, A. G. Aronov, and D. E. Khmelnitsky, Solid State Commun. 39, 619 (1981);
6. H. Fukuyama and E. Abrahams, Phys. Rev. B 27, 5976 (1982).
7. M. E. Gershenson, V. N. Gubankov, and J. E. Juravlev, Pis’ma Zh. Eksp. Teor. Fiz. 35, 467 (1982) [JETP Lett. 35, 467 (1982)];
8. R. M. Mueller, R. Stasch, and G. Bergmann, Solid State Commun. 91, 255 (1994);
9. J. J. Lin and N. Giordano, Phys. Rev. B 35, 1071 (1987);
10. P. Mohanty, E. M. Q. Jariwala, and R. A. Webb, Phys. Rev. Lett. 78, 3366 (1997);
11. G. Brunthaler, A. Prinz, G. Bauer, and V. M. Pudalov, cond-mat/0007230 (unpublished).
12. S. Hikami, A. I. Larkin, and Y. Nagaoka, Prog. Theor. Phys. 63, 707 (1980).
13. Y. Imry, H. Fukuyama, and P. Schwab, Europhys. Lett. 47, 610 (1999);
14. A. Zawadowski, J. von Delft, and D. C. Ralph, Phys. Rev. Lett. 83, 2632 (1999).
15. Z. Ovadyahu and Y. Imry, Phys. Rev. B 24, 7439 (1981).
16. Y. Imry and Z. Ovadyahu, J. Phys. C 15, L327 (1982).
17. Z. Ovadyahu, S. Moehlecke, and Y. Imry, Surf. Sci. 113, 544 (1982);
18. Z. Ovadyahu, Yuval Gefen, and Yoseph Imry, Phys. Rev. B 32, 781 (1985).
19. Y. Imry and Z. Ovadyahu, Phys. Rev. Lett. 49, 841 (1982).
20. M. E. Gershenson, D. Gong, T. Sato, B. S. Barasik, W. R. McGrath, and A. V. Sergeev (unpublished).
21. Z. Ovadyahu, B. Ovryn, and H. W. Kraner, J. Electrochem. Soc. 130, 917 (1983).
22. Z. Ovadyahu, J. Phys. C 19, 5187 (1986).
23. V. Chandrasekhar and R. A. Webb, J. Low Temp. Phys. 97, 9 (1994).
24. Y. Imry, Phys. Rev. Lett. 44, 469 (1980).
25. Marvin L. Cohen (private communication).
26. Y. Shapir and Z. Ovadyahu, Phys. Rev. B 40, 12 441 (1989);
27. Phys. Rev. BD. Kowal, M. Ben-Chorin, and Z. Ovadyahu, 44, 9080 (1991).
28. M. D. Daybell, in Magnetism, edited by G. Rado and H. Suhl (Academic, New York, 1973), Vol. 5.
29. O. Cohen, Z. Ovadyahu, and M. Rokni, Phys. Rev. Lett. 69, 3555 (1992);
30. O. Cohen and Z. Ovadyahu, Phys. Rev. B 50, 10 442 (1994).
31. Figure 1111 suggests that (Formula presented) diverges as (Formula presented) when (Formula presented) but it may actually diverge faster than that. Note that even at our smallest F there may be some dephasing in the (Formula presented) samples (cf. Fig. 99).
32. B. L. Altshuler and A. G. Aronov, Solid State Commun. 38, 11 (1981).
33. J. L. Black, B. L. Gyorfyy, and J. Jackle, Philos. Mag. B 40, 331 (1979).
34. Z. Ovadyahu, Phys. Rev. Lett. 52, 569 (1984).
35. R. P. Peters, G. Bergmann, and R. M. Mueller, Phys. Rev. Lett. 58, 1964 (1987);
36. Phys. Rev. Lett.C. Van Hasendonck, J. Vranken, and Y. Bruynseraede, 58, 1968 (1987).
37. A. Scmidt, Z. Phys. 271, 251 (1974);
38. Z. Phys.A. Scmidt259, 421 (1973);
39. M. Yu. Reizer and A. V. Sergeev, Zh. Eksp. Theor. Fiz. 90, 1056 (1986) [Sov. Phys. JETP 63, 616 (1986)].
40. P. W. Anderson, B. I. Halperin, and C. M. Varma, Philos. Mag. 25, 1 (1972);
41. J. Jackle, Z. Phys. 257, 212 (1972).
42. See H. B. Weber, R. Haussler, H. v. Lohneysen, and J. Kroha, cond-mat/0007077 (unpublished).
43. Also see A. Sergeev and V. Mitin, Europhys. Lett. 51, 641 (2000);
44. A. SergeevV. MitinPhys. Rev. B 61, 6041 (2000).
45. O. Agam and Z. Ovadyahu (unpublished).
46. Following V. I. Kozub and A. M. Rudin [Phys. Rev. B 52, 7853 (1995)], we used (Formula presented) and (Formula presented)
47. T. Tsuzuki, Physica B 107, 679 (1981);
48. M. Kaveh, M. J. Uren, R. A. Davies, and M. Pepper, J. Phys. C 14, 413 (1981).
49. B. L. Altshuler and A. G. Aronov, Pis’ma Zh. Eksp. Teor. Fiz. 30, 514 (1979) [JETP Lett. 30, 482 (1979)];
50. G. Bergmann, Z. Phys. B 49, 133 (1982), and references therein.
51. B. L. Altshuler et al., Physica E 3, 58 (1993).
52. B. L. Altshuler, A. G. Aronov, and D. E. Khmelnitsky, Solid State Commun. 39, 619 (1981).
53. Also see Yu. B. Khavin, M. E. Gershenson, and A. L. Bogdanov, Phys. Rev. Lett. 81, 1066 (1998);
54. B. L. Altshuler, M. E. Gershenson, and I. L. Aleiner, Physica E 3, 58 (1998).
55. Our results were not affected by inserting line filters. We have tested the same instrumentation circuit for measuring superconductor/normal devices that are extremely sensitive to the presence of ac fields [A. Vaknin and Z. Ovadyahu, Europhys. Lett. 47, 615 (1999)]. No sign of such a field could be detected at any value of (Formula presented) in the relevant range. The latter test rules out the possibility that the high frequency is generated by (or admitted through) the external measurement circuit itself.
56. Note that this breakdown of the dephasing rate into “components” makes sense only in a near-equilibrium situation (Formula presented) When F is large, the concept of (Formula presented) becomes questionable.
57. I. L. Aleiner, B. L. Altshuler, and Y. M. Galperin, cond-mat/0010228 (unpublished).
58. J. L. Black, in Metallic Glasses, edited by H Guntherodt and H. Beck (Springer, New York, 1981).
59. P. D. Sacrametnto and P. Schlottman, Phys. Rev. B 43, 13 294 (1991);
60. Phys. Rev. BB. Andraka, 49, 3589 (1994);
61. Phys. Rev. BB. Andraka49, 348 (1994).
62. The density of TLS might also be obtained from their contribution to the dephasing rate if it were possible to separate (Formula presented) into different components (Formula presented) Kondo). However, this will only reflect on the TLS spectrum at (Formula presented) Significant contributions to (Formula presented) are associated with much smaller frequencies, more readily accessed by flicker-noise measurements.
63. As noted above, (Formula presented) in (Formula presented) is smaller by ≈3 orders of magnitude. This also contributes to making (Formula presented) larger in (Formula presented)
64. Heat-capacity or acoustic-attenuation studies would make it possible to estimate (Formula presented) in a more direct way.
65. A. B. Gougam, F. Pierre, H. Pothier, D. Esteve, and N. O. Birge, J. Low Temp. Phys. 118, 447 (2000).
66. O. Faran and Z. Ovadyahu, Phys. Rev. B 38, 5457 (1988);
67. Phys. Rev. BF. Tremblay, M. Pepper, R. Newbury, D. Ritchie, D. C. Peacock, J. E. F. Frost, G. A. C. Jones, and G. Hill, 40, 10 052 (1989).
68. J. J. Lin and N. Giordano, Phys. Rev. B 35, 1071 (1987);
69. J. J. Lin and L. Y. Kao, cond-mat/0007417 (unpublished).