Quantum-classical transitions in Lifshits tails with magnetic fields
| dc.creator | Leschke, Hajo | |
| dc.creator | Warzel, Simone | |
| dc.date | 2003-10-16 | |
| dc.date | 2003-12-11 | |
| dc.date.accessioned | 2026-07-07T02:54:14Z | |
| dc.date.available | 2026-07-07T02:54:14Z | |
| dc.description | 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 $ 40 $-year-old landmark result of Lifshits for short-ranged single-impurity potentials $ U $. The Lifshits tail is shown to change its character from purely quantum, through quantum-classical, to purely classical with increasing range of $ U $. 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. | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0310389 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0310389 | |
| dc.identifier | shorter version in Phys. Rev. Lett. 92 (2004) 086402:1-4 | |
| dc.identifier | doi:10.1103/PhysRevLett.92.086402 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/22464 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Quantum-classical transitions in Lifshits tails with magnetic fields | |
| dc.type | text |