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Magnetic Field Effects on the Transport Properties of One-sided Rough Wires

A. García-Martín·M. Governale·P. Wölfle
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Abstract

We present a detailed numerical analysis of the effect of a magnetic field on the transport properties of a `small-$N$' one-sided surface disordered wire. When time reversal symmetry is broken due to a magnetic field $B$, we find a strong increase with $B$ not only of the localization length $ξ$ but also of the mean free path $\ell$ caused by boundary states. Despite this, the universal relationship between $\ell$ and $ξ$ does hold. We also analyze the conductance distribution at the metal-insulator crossover, finding a very good agreement with Random Matrix Theory with two fluctuating channels within the Circular Orthogonal(Unitary) Ensemble in absence(presence) of $B$

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A. García-Martín, M. Governale, P. Wölfle. 2002-10-01. Magnetic Field Effects on the Transport Properties of One-sided Rough Wires. https://doi.org/10.1103/physrevb.66.233307

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