Abstract
The Efros-Shklovskii (E-S) law for the conductivity of granular metals is interpreted as a result of a variable-range cotunneling process. The cotunneling between distant resonant grains is predominantly elastic at low T ≤ T c , while it is inelastic (i.e., accompanied by creation of electron-hole pairs on a string of intermediate non-resonant grains) at T ≥ T c . The corresponding E-S temperature T ES , in the latter case, is slightly (logarithmically) T dependent. The magnetoresistance in the two cases is different: it may be relatively strong and negative at T≪T c , while, at T > T c , it is suppressed due to inelastic processes, which destroy the interference.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
T. Chui et al., Phys. Rev. B 23, 6172 (1981).
R. W. Simon et al., Phys. Rev. B 36, 1962 (1987).
A. Gerber, A. Milner, G. Deutscher, et al., Phys. Rev. Lett. 78, 4277 (1997).
A. L. Efros and B. I. Shklovskii, J. Phys. C 8, L49 (1975).
B. I. Shklovskii and A. L. Éfros, Electronic Properties of Doped Semiconductors (Nauka, Moscow, 1979; Springer, New York, 1984).
J. Zhang and B. I. Shklovskii, Phys. Rev. B 70, 115317 (2004).
D. A. Averin and Yu. V. Nazarov, Phys. Rev. Lett. 65, 2446 (1990).
K. B. Efetov and A. Tschersich, Europhys. Lett. 59, 114 (2002); Phys. Rev. B 67, 174205 (2003).
M. V. Feigel’man, A. S. Ioselevich, and M. A. Skvortsov, Phys. Rev. Lett. 93, 136403 (2004).
V. L. Nguen, B. Z. Spivak, and B. I. Shklovskii, JETP Lett. 41, 42 (1985).
U. Sivan, O. Entin-Wohlman, and Y. Imry, Phys. Rev. Lett. 60, 1566 (1988).
H. L. Zhao, B. Z. Spivak, M. P. Celfand, and S. Feng, Phys. Rev. B 44, 10760 (1991).
B. I. Shklovskii and B. Z. Spivak, in Hopping Transport in Solids, Ed. by M. Pollak and B. Shklovskii (Elsevier, Amsterdam, 1991), p. 271.
L. I. Glazman and M. Pustilnik, cond-mat/0501007.
D. V. Averin and K. K. Likharev, in Mesoscopic Phenomena in Solids, Ed. by B. L. Altshuler, P. A. Lee, and R. A. Webb (Elsevier, Amsterdam, 1991).
V. Ambegokar, B. I. Halperin, and J. S. Langer, Phys. Rev. B 4, 2612 (1971).
T. Hwa and D. S. Fisher, Phys. Rev. B 49, 3136 (1994), and references therein.
I. S. Beloborodov, A. V. Lopatin, V. M. Vinokur, and V. I. Kozub, cond-mat/0501094.
Author information
Authors and Affiliations
Additional information
From Pis’ma v Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, Vol. 81, No. 6, 2005, pp. 341–347.
Original English Text Copyright © 2005 by Feigel’man, Ioselevich.
This article was submitted by the author in English.