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T-duality in supersymmetric theory of disordered quantum systems

A. Ossipov·V. E. Kravtsov
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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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A. Ossipov, V. E. Kravtsov. 2005-08-22. T-duality in supersymmetric theory of disordered quantum systems. https://doi.org/10.1103/physrevb.73.033105

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