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

Shimul Akhanjee

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arXiv · 1109.4539

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

Shimul Akhanjee

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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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Shimul Akhanjee. 2012-06-16. Non-perturbative Solution of the Unitary, $N$-Orbital Anderson Model. https://arxiv.org/abs/1109.4539

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