Non-linear conductivity and quantum interference in disordered metals

European Physical Journal B

Volumn 15, Issue 2, 2000, Pages 277-281

  Leadbeater, M ^a   Raimondi, R ^a   Schwab, P ^b,c   Castellani, C ^b  

^a ROMA TRE UNIVERSITY   (Italy)

^b UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

^c UNIVERSITY OF AUGSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040434825     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510051126     Document Type: Article

References (39)

1. B.L. Altshuler, A.G. Aronov, D.E. Khmelnitskii, A.G. Larkin, in Quantum Theory of Solids, edited by I.M. Lifshitz (MIR Publishers, Moscow, 1982); B.L. Altshuler, A.G. Aronov, in Electron-Electron Interactions in Disordered Systems, edited by M. Pollak, A.L. Efros (North-Holland, Amsterdam, 1985), p. 1.
2. B.L. Altshuler, A.G. Aronov, D.E. Khmelnitskii, A.G. Larkin, in Quantum Theory of Solids, edited by I.M. Lifshitz (MIR Publishers, Moscow, 1982); B.L. Altshuler, A.G. Aronov, in Electron-Electron Interactions in Disordered Systems, edited by M. Pollak, A.L. Efros (North-Holland, Amsterdam, 1985), p. 1.
3. P.A. Lee, T.V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985); D. Belitz, T.R. Kirkpatrick, Rev. Mod. Phys. 66, 261 (1994).
4. P.A. Lee, T.V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985); D. Belitz, T.R. Kirkpatrick, Rev. Mod. Phys. 66, 261 (1994).
5. S.V. Kravchenko, W.E. Mason, G.E. Bower, J.E. Furneaux, V.M. Pudalov, M. D'Iorio, Phys. Rev. B 51, 7038 (1995).
6. V. Dobrosavljevic, E. Abrahams, E. Miranda, S. Chakravarty, Phys. Rev. Lett. 79, 455 (1997); P. Phillips et al., Nature 395, 253 (1998); S. Chakravarty et al., Phil. Mag. B 79, 859 (1999);
7. V. Dobrosavljevic, E. Abrahams, E. Miranda, S. Chakravarty, Phys. Rev. Lett. 79, 455 (1997); P. Phillips et al., Nature 395, 253 (1998); S. Chakravarty et al., Phil. Mag. B 79, 859 (1999);
8. V. Dobrosavljevic, E. Abrahams, E. Miranda, S. Chakravarty, Phys. Rev. Lett. 79, 455 (1997); P. Phillips et al., Nature 395, 253 (1998); S. Chakravarty et al., Phil. Mag. B 79, 859 (1999);
9. V.M. Pudalov, JETP Lett. 66, 175 (1997);
10. D. Belitz, T.R. Kirkpatrick, Phys. Rev. B 58, 8214 (1998);
11. Q. Si, C.M. Varma, Phys. Rev. Lett. 81, 4951 (1998).
12. B.L. Altshuler, D.L. Maslov, Phys. Rev. Lett. 82, 145 (1999); T.M. Klapwijk, S. Das Sarma, Solid State Commun. 110, 581 (1999); S. Das Sarma, E.H. Hwang, Phys. Rev. Lett. 83, 164 (1999).
13. B.L. Altshuler, D.L. Maslov, Phys. Rev. Lett. 82, 145 (1999); T.M. Klapwijk, S. Das Sarma, Solid State Commun. 110, 581 (1999); S. Das Sarma, E.H. Hwang, Phys. Rev. Lett. 83, 164 (1999).
14. B.L. Altshuler, D.L. Maslov, Phys. Rev. Lett. 82, 145 (1999); T.M. Klapwijk, S. Das Sarma, Solid State Commun. 110, 581 (1999); S. Das Sarma, E.H. Hwang, Phys. Rev. Lett. 83, 164 (1999).
15. C. Castellani, C. Di Castro, P.A. Lee, Phys. Rev. B 57, R9381 (1998).
16. A.M. Kinkel'stein, JETP 57, 97 (1983); C. Castellani, C. Di Castro, P.A. Lee, M. Ma, Phys. Rev. B 30, 527 (1984).
17. A.M. Kinkel'stein, JETP 57, 97 (1983); C. Castellani, C. Di Castro, P.A. Lee, M. Ma, Phys. Rev. B 30, 527 (1984).
18. B.L. Altshuler, A.G. Aronov, P.A. Lee, Phys. Rev. Lett. 44, 1288 (1980); B.L. Altshuler, D. Khmel'nitzkii, A.I. Larkin, P.A. Lee, Phys. Rev. B 22, 5141 (1980).
19. B.L. Altshuler, A.G. Aronov, P.A. Lee, Phys. Rev. Lett. 44, 1288 (1980); B.L. Altshuler, D. Khmel'nitzkii, A.I. Larkin, P.A. Lee, Phys. Rev. B 22, 5141 (1980).
20. G. Bergmann, Z. Phys. B 49, 133 (1982).
21. R. Raimondi, P. Schwab, C. Castellani, Phys. Rev. B 60, 5818 (1999). See also this reference for a discussion of non-linearity in the context of the saturation of the dephasing time.
22. P.T. Coleridge, A.S. Sachrajda, P. Zawadzki, cond-mat/9912041; D. Simonian, S.V. Kravchenko, M.P. Sarachik, V.M. Pudalov, Phys. Rev. B 57, R9420 (1998).
23. P.T. Coleridge, A.S. Sachrajda, P. Zawadzki, cond-mat/9912041; D. Simonian, S.V. Kravchenko, M.P. Sarachik, V.M. Pudalov, Phys. Rev. B 57, R9420 (1998).
24. I.L. Aleiner, B.L. Altshuler, E. Gershenson, Waves Random Media 9, 201 (1999).
25. For recent applications of the Keldysh formalism to disordered conductors see A. Kamenev, A. Andreev, Phys. Rev. B 60, 2218 (1999); C. Chamon, A.W.W. Ludwig, C. Nayak. Phys. Rev. B 60, 2239 (1999).
26. For recent applications of the Keldysh formalism to disordered conductors see A. Kamenev, A. Andreev, Phys. Rev. B 60, 2218 (1999); C. Chamon, A.W.W. Ludwig, C. Nayak. Phys. Rev. B 60, 2239 (1999).
27. C. Castellani, C. Di Castro, Phys. Rev. B 34, 5935 (1986); C. Castellani, G. Kotliar, P.A. Lee, Phys. Rev. Lett. 59, 323 (1987).
28. C. Castellani, C. Di Castro, Phys. Rev. B 34, 5935 (1986); C. Castellani, G. Kotliar, P.A. Lee, Phys. Rev. Lett. 59, 323 (1987).
29. 2(γ2) term is slightly larger (about 10%) than the factor given in the literature.
30. R. de-Picciotto et al., Nature 389, 162 (1997).
31. S.A. Vitkalov (private communication).
32. G. Bergmann, Wei Wei, Yao Zou, R.M. Mueller, Phys. Rev. B 41, 7386 (1990); J. Liu, N. Giordano, Phys. Rev. B 43, 1385 (1991).
33. G. Bergmann, Wei Wei, Yao Zou, R.M. Mueller, Phys. Rev. B 41, 7386 (1990); J. Liu, N. Giordano, Phys. Rev. B 43, 1385 (1991).
34. S.V. Kravchenko, D. Simonian, M.P. Sarachik, W. Meson, G.E. Fourneaux, Phys. Rev. Lett. 77, 4938 (1996). R. Heemskerk, T.M. Klapwijk, Phys. Rev. B 58, R1754 (1998).
35. S.V. Kravchenko, D. Simonian, M.P. Sarachik, W. Meson, G.E. Fourneaux, Phys. Rev. Lett. 77, 4938 (1996). R. Heemskerk, T.M. Klapwijk, Phys. Rev. B 58, R1754 (1998).
36. J. Yoon, C.C. Li, D. Shahar, D.C. Tsui, M. Shayegan, Phys. Rev. Lett. 82, 1744 (1999).
37. V. Senz, et al., Annalen Phys. 8, Special Issue, 237 (1999).
38. For a recent review see S.L. Sondhi, S.M. Girvin, J.P Carini, D. Shahar, Rev. Mod. Phys. 69, 315 (1997).
39. Note that in this estimate we assumed a uniform electric field throughout the sample.