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Non-perturbative Solution of the Unitary, N-Orbital Anderson Model

2011/09/21 by Akhanjee, Shimul
#Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall)

paper · doi:10.48550/arxiv.1109.4539

Abstract

The mobility edge is extracted from a non-perturbative analysis of F. Wegner's real matrix ensemble (RME), N-orbital model of electrons with broken time-reversal invariance moving in random potential. The replicon fluctuations around the zero-dimensional (0D), single metallic grain saddlepoint, are shown to destabilize diffusive regime beyond the low energy limit yielding a precise criteria of localization in terms of a single scaling parameter.

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