Magnetic Field Effects on the Transport Properties of One-sided Rough Wires
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 but also of the mean free path caused by boundary states. Despite this, the universal relationship between and 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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