T-duality in supersymmetric theory of disordered quantum systems
Mesoscale and Nanoscale Physics
2009-11-11 v1 Disordered Systems and Neural Networks
Abstract
A new super-symmetric representation for quantum disordered systems is derived. This representation is exact and is dual to that of the nonlinear sigma-model. The new formalism is tested by calculating the distribution of wave function amplitudes in the 1d Anderson model. The deviation from the distribution found for a thick wire is detected near the band center E=0.
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Cite
@article{arxiv.cond-mat/0508526,
title = {T-duality in supersymmetric theory of disordered quantum systems},
author = {A. Ossipov and V. E. Kravtsov},
journal= {arXiv preprint arXiv:cond-mat/0508526},
year = {2009}
}
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4 pages