Quantum-classical transitions in Lifshits tails with magnetic fields
Disordered Systems and Neural Networks
2007-05-23 v2 Mesoscale and Nanoscale Physics
Abstract
We consider Lifshits' model of a quantum particle subject to a repulsive Poissonian random potential and address various issues related to the influence of a constant magnetic field on the leading low-energy tail of the integrated density of states. In particular, we propose the magnetic analog of a -year-old landmark result of Lifshits for short-ranged single-impurity potentials . The Lifshits tail is shown to change its character from purely quantum, through quantum-classical, to purely classical with increasing range of . This systematics is explained by the increasing importance of the classical fluctuations of the particle's potential energy in comparison to the quantum fluctuations associated with its kinetic energy.
Cite
@article{arxiv.cond-mat/0310389,
title = {Quantum-classical transitions in Lifshits tails with magnetic fields},
author = {Hajo Leschke and Simone Warzel},
journal= {arXiv preprint arXiv:cond-mat/0310389},
year = {2007}
}