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

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.

arXiv comment3 pages, 4 figures

References in corpus (5)

• Random-Matrix Theory of Quantum Transport
• Statistics of energy levels and eigenfunctions in disordered systems
• Decoherence and the Thouless Crossover in One-Dimensional Conductors
• Strong localization of electrons in quasi-one-dimensional conductors
• Two-scale localization in disordered wires in a magnetic field

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