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
References in corpus (10)
- Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
- Statistics of energy levels and eigenfunctions in disordered systems
- Riemannian symmetric superspaces and their origin in random matrix theory
- Transition from localized to extended eigenstates in the ensemble of power-law random banded matrices
- New Class of Random Matrix Ensembles with Multifractal Eigenvectors
- Band-center anomaly of the conductance distribution in one-dimensional Anderson localization
- Scaling and the center of band anomaly in a one-dimensional Anderson model with diagonal disorder
- Statistical properties of phases and delay times of the one-dimensional Anderson model with one open channel
- Virial expansion for almost diagonal random matrices
- Bosonization for disordered and chaotic systems
Cited by in corpus (14)
- Robustness of delocalization to the inclusion of soft constraints in long-range random models
- Normal Transport Behavior in Finite One-Dimensional Chaotic Quantum Systems
- Supersymmetry Approach to Almost Diagonal Random Matrices
- Superbosonization formula and its application to random matrix theory
- Level compressibility in a critical random matrix ensemble: The second virial coefficient
- Anderson localization on a simplex
- Hybridization of wave functions in one-dimensional localization
- Supersymmetric Virial Expansion for Time-Reversal Invariant Disordered Systems
- Commensurability effects in one-dimensional Anderson localization: anomalies in eigenfunction statistics
- Invariance principle for wave propagation inside inhomogeneously disordered materials
- Statistics of Green's functions on a disordered Cayley tree and the validity of forward scattering approximation
- Exact solution for eigenfunction statistics at the center-of-band anomaly in the Anderson localization model
- Correlations of the local density of states in quasi-one-dimensional wires
- Virial expansion of the non-linear sigma model in the strong coupling limit