Weak localization in metallic granular media

Physical Review B - Condensed Matter and Materials Physics

Volumn 73, Issue 16, 2006, Pages

  Blanter, Ya M ^a,b   Vinokur, V M ^c   Glazman, L I ^d  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^c ARGONNE NATIONAL LABORATORY   (United States)

^d UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646349002     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.73.165322     Document Type: Article

References (26)

1. B. L. Altshuler, A. G. Aronov, M. E. Gershenson, and Yu. V. Sharvin, Sov. Sci. Rev., Sect. A SSRPDH 0143-0394 9, 223 (1987).
2. C. W. J. Beenakker and H. van Houten, Solid State Phys. SSPHAE 0081-1947 44, 1 (1991).
3. E. Abrahams, S. V. Kravchenko, and M. P. Sarachik, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.73.251 73, 251 (2001).
4. B. G. Orr, H. M. Jaeger, A. M. Goldman, and C. G. Kuper, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56.378 56, 378 (1986).
5. R. C. Dynes and J. P. Garno, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.46.137 46, 137 (1981);
6. R. C. Dynes, J. P. Garno, G. B. Hertel, and T. P. Orlando, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.53.2437 53, 2437 (1984).
7. R. Fazio and H. S. J. van der Zant, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(01)00022-9 355, 235 (2001).
8. S. Ilani, A. Yacoby, D. Mahalu, and H. Shtrikman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.3133 84, 3133 (2000).
9. F. Pierre, A. B. Gougam, A. Anthore, H. Pothier, D. Esteve, and N. O. Birge, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.085413 68, 085413 (2003).
10. B. L. Altshuler, A. G. Aronov, and D. E. Khmelnitsky, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/15/36/018 15, 7367 (1982).
11. I. S. Beloborodov, K. B. Efetov, A. Altland, and F. W. J. Hekking, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.115109 63, 115109 (2001).
12. U. Sivan, Y. Imry, and A. G. Aronov, Europhys. Lett. EULEEJ 0295-5075 28, 115 (1994);
13. Ya. M. Blanter, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.12807 54, 12807 (1996);
14. B. L. Altshuler, Y. Gefen, A. Kamenev, and L. S. Levitov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.2803 78, 2803 (1997).
15. I. L. Aleiner, P. W. Brouwer, and L. I. Glazman, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(01)00063-1 358, 309 (2002).
16. E. Prada and F. Sols, Eur. Phys. J. B EPJBFY 1434-6028 40, 379 (2004);
17. M. Houzet, D. A. Pesin, A. V. Andreev, and L. I. Glazman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.104507 72, 104507 (2005).
18. G. D. Mahan, Many-Particle Physics (Kluwer, New York, 2000).
19. B. L. Altshuler and A. G. Aronov, in Electron-Electron Interaction In Disordered Systems, edited by, A. J. Efros, and, M. Pollak, (North-Holland, Amsterdam, 1985) p. 1.
20. M. G. Vavilov and I. L. Aleiner, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.R16311 60, R16311 (1999).
21. I. L. Aleiner and Ya. M. Blanter, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.115317 65, 115317 (2002).
22. I. S. Beloborodov, K. B. Efetov, A. V. Lopatin, and V. M. Vinokur, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.246801 91, 246801 (2003).
23. We assume that the interference correction develops at temperatures for which the interaction renormalization of conductivity is still in the perturbative regime. This sets the requirement for charging energy suppressed by quantum fluctuations, E C ∼ EC exp (-γ gT), to be sufficiently small: E C Tcr. Here constant γ depends on the dimensionality and geometry of the array; γ=1 4 in one dimension, and γ=1 for a square 2D lattice of grains. For details, see A. Altland, L. I. Glazman, A. Kamenev, and J. S. Meyer, cond-mat/0507695 (unpublished);
24. A. Altland, L. I. Glazman, A. Kamenev, and J. S. Meyer, Math. Notes 1067-9073 (to be published).
25. C. Biagini, T. Caneva, V. Tognetti, and A. A. Varlamov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.041102 72, 041102 (R) (2005).
26. I. S. Beloborodov, A. V. Lopatin, and V. M. Vinokur, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.205120 70, 205120 (2004).