LOCALIZATION PROPERTIES IN ONE-DIMENSIONAL DISORDERED SUPERSYMMETRIC QUANTUM-MECHANICS

Authors
COMTET A DESBOIS J MONTHUS C
Citation
A. Comtet et al., LOCALIZATION PROPERTIES IN ONE-DIMENSIONAL DISORDERED SUPERSYMMETRIC QUANTUM-MECHANICS, Annals of physics, 239(2), 1995, pp. 312-350
Citations number
32
Categorie Soggetti
Physics
Journal title
Annals of physics → ACNP
ISSN journal
00034916
Volume
239
Issue
2
Year of publication
1995
Pages
312 - 350
Database
ISI
SICI code
0003-4916(1995)239:2<312:LPIODS>2.0.ZU;2-R
Abstract
A model of localization based on the Witten Hamiltonian of supersymmet ric quantum mechanics is considered. The case where the superpotential phi(x) is a random telegraph process is solved exactly. Both the loca lization length and the density of states are obtained analytically. A detailed study of the low energy behaviour is presented. Analytical a nd numerical results are presented in the case where the intervals ove r which phi(x) is kept constant are distributed according to a broad d istribution. Various applications of this model are considered. (C) 19 95 Academic Press, Inc.