Constant conductance fluctuations in disordered metals

Heinrichs, J. ; Jayannavar, A. M. ; Kumar, N. (1988) Constant conductance fluctuations in disordered metals Solid State Communications, 67 (11). pp. 1103-1107. ISSN 0038-1098

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/003810...

Related URL: http://dx.doi.org/10.1016/0038-1098(88)91194-5

Abstract

We discuss the effect of fluctuations of the random potential in directions transverse to the current flow in a modified Migdal-Kadanoff approach to probabilistic scaling of conductance with size L, in d-dimensional metallic systems. The conductance cumulants are finite and vary as Ld−1−n for n≥2 i.e. conductance fluctuations are constant for d = 3. The mean conductance has a non-classical correction with dlng-/dln L = d−2−(3g-)−1 for d ≥ 2. The form of the higher cumulants is strongly influenced by the transverse potential fluctuations and may be compared with the results of perturbative diagrammatic approaches.

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Deposited On:12 Nov 2010 13:41
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