Non-analyticity in the distribution of conductances in quasi one dimensional wires

Details Non-analyticity in the distribution of conductances in quasi one dimensional wires Non-analyticity in the distribution of conductances in quasi one dimensional wires

2002-10-14

arxiv.org/abs/cond-mat/0210293v1

Europhys. Lett., 61 (1), pp. 95-101 (2003).

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 3 figures. Submitted to Europhysics Letters

Scientific paper

10.1209/epl/i2003-00254-x

We show that the distribution P(g) of conductances g of a quasi one
dimensional wire has non-analytic 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.

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