Localization Properties in One Dimensional Disordered Supersymmetric Quantum Mechanics - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Annals of Physics Année : 1995

Localization Properties in One Dimensional Disordered Supersymmetric Quantum Mechanics

Résumé

A model of localization based on the Witten Hamiltonian of supersymmetric quantum mechanics is considered. The case where the superpotential $\\phi(x)$ is a random telegraph process is solved exactly. Both the localization length and the density of states are obtained analytically. A detailed study of the low energy behaviour is presented. Analytical and numerical results are presented in the case where the intervals over which $\\phi(x)$ is kept constant are distributed according to a broad distribution. Various applications of this model are considered.

Dates et versions

hal-00004142 , version 1 (03-02-2005)

Identifiants

Citer

A. Comtet, J. Desbois, C. Monthus. Localization Properties in One Dimensional Disordered Supersymmetric Quantum Mechanics. Annals of Physics, 1995, 239, pp.312-350. ⟨hal-00004142⟩

Collections

UNIV-PARIS-SACLAY
18 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More