Non-perturbative Solution of the Unitary, $N$-Orbital Anderson Model
Disordered Systems and Neural Networks
2012-06-19 v3 Mesoscale and Nanoscale Physics
Abstract
The mobility edge is extracted from a non-perturbative analysis of F. Wegner's real matrix ensemble (RME), -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.
Keywords
Cite
@article{arxiv.1109.4539,
title = {Non-perturbative Solution of the Unitary, $N$-Orbital Anderson Model},
author = {Shimul Akhanjee},
journal= {arXiv preprint arXiv:1109.4539},
year = {2012}
}
Comments
4 pages, revtex. Paper restructured. Includes a gradient expansion of fluctuations about 0D saddlepoint