Nonanalyticity in the distribution of conductances in quasi–one-dimensional wires

¹ Department of Physics, University of Florida P.O. Box 118440 - Gainesville, FL 32611-8440, USA
² Institut für Theorie der Kondensierten Materie, Universität Karlsruhe P.O. Box 6980, D-76128 Karlsruhe, Germany
³ Institut für Nanotechnologie, Forschungszentrum Karlsruhe Karlsruhe, Germany

Received: 5 August 2002
Accepted: 24 October 2002

Abstract

We show that the distribution P(g) of conductances g of a quasi–one-dimensional wire has nonanalytic behavior in the insulating region, leading to a discontinuous derivative in the distribution near g=1. We give analytic expressions for the full distribution and extract an approximate scaling behavior valid for different strengths of disorder close to g=1.