Europhys. Lett.
Volume 68, Number 6, December 2004
Page(s) 867 - 873
Section Condensed matter: electronic structure, electrical, magnetic, and optical properties
Published online 26 November 2004
Europhys. Lett., 68 (6), pp. 867-873 (2004)
DOI: 10.1209/epl/i2004-10289-y

Conductance distribution in 3D Anderson insulators: Deviation from log-normal form

P. Markos1, K. A. Muttalib2, P. Wölfle3 and J. R. Klauder2

1  Institute of Physics, Slovak Academy of Sciences - 845 11 Bratislava, Slovakia
2  Department of Physics, University of Florida - Gainesville, FL 32611-8440, USA
3  Institut für Theorie der Kondensierten Materie, Universität Karlsruhe Karlsruhe, Germany

received 27 July 2004; accepted in final form 22 October 2004
published online 26 November 2004

We show how a recent proposal to obtain the distribution of conductances in three dimensions (3D) from a generalized Fokker-Planck equation for the joint probability distribution of the transmission eigenvalues can be implemented for all strengths of disorder by numerically evaluating certain correlations of transfer matrices. We then use this method to obtain analytically, for the first time, the 3D conductance distribution in the insulating regime and provide a simple understanding of why it differs qualitatively from the log-normal distribution of a quasi-one-dimensional wire.

73.23.-b - Electronic transport in mesoscopic systems.
71.30.+h - Metal-insulator transitions and other electronic transitions.
72.10.-d - Theory of electronic transport; scattering mechanisms.

© EDP Sciences 2004