Random Matrices and the Anderson Model

Abstract

In recent years,constructive field techniques and the method of renormalization group around extended singularities have been applied to the weak coupling regime of the Anderson Model. It has allowed to clarify the relationship between this model and the theory of random matrices. We review this situation and the current program to analyze in detail the density of states and Green's functions of this model using the supersymmetric formalism.

52 pages, 11 figures

References in corpus (2)

• Statistics of energy levels and eigenfunctions in disordered and chaotic systems: Supersymmetry approach
• The Anderson Model as a Matrix Model

Cited by in corpus (5)

• The Canopy Graph and Level Statistics for Random Operators on Trees
• Minami's estimate: beyond rank one perturbation and monotonicity
• Wigner law for matrices with dependent entries - a perturbative approach
• On the Gaussian Random Matrix Ensembles with Additional Symmetry Conditions
• The Wilson loop in the Gaussian Unitary Ensemble