Crossover of conductance and local density of states in a single-channel disordered quantum wire

Abstract

The probability distribution of the mesoscopic local density of states (LDOS) for a single-channel disordered quantum wire with chiral symmetry is computed in two different geometries. An approximate ansatz is proposed to describe the crossover of the probability distributions for the conductance and LDOS between the chiral and standard symmetry classes of a single-channel disordered quantum wire. The accuracy of this ansatz is discussed by comparison with a large-deviation ansatz introduced by Schomerus and Titov in Phys. Rev. B \textbf{67}, 100201(R) (2003).

arXiv comment19 pages, 5 eps figures

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• Anomalous dimensions of operators without derivatives in the non-linear sigma-model for disordered bipartite lattices
• Beyond universal behavior in the one-dimensional chain with random nearest neighbor hopping
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