T-duality in supersymmetric theory of disordered quantum systems
A. Ossipov, V. E. Kravtsov
TL;DR
This paper introduces a new exact supersymmetric formalism for disordered quantum systems, providing a dual approach to the nonlinear sigma-model and demonstrating its effectiveness through wave function amplitude distribution analysis.
Contribution
It presents a novel supersymmetric representation that is exact and dual to existing models, advancing analytical tools for disordered quantum systems.
Findings
The new formalism is validated by calculating wave function amplitude distributions.
Deviations from known distributions are observed near the band center E=0.
The approach enhances understanding of wave function behavior in disordered systems.
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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