T-duality in supersymmetric theory of disordered quantum systems
arXiv:cond-mat/0508526 · doi:10.1103/PhysRevB.73.033105
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.
4 pages