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Search for two-scale localization in disordered wires in a magnetic field

H. Schomerus·C. W. J. Beenakker
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Abstract

The supersymmetry technique [A. V. Kolesnikov and K. B. Efetov, Phys. Rev. Lett. 83, 3689 (1999)] predicts a two-scale behavior of wavefunction decay in disordered wires in the crossover regime from preserved to broken time-reversal symmetry. We have tested this prediction by a transmission approach, relying on the Borland conjecture that relates the decay length of the transmittance to the decay length of the wavefunctions. Our numerical simulations show no indication of two-scale behavior.

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H. Schomerus, C. W. J. Beenakker. 1999-11-01. Search for two-scale localization in disordered wires in a magnetic field. https://doi.org/10.1103/physrevlett.84.3927

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