Lifshitz tails in constant magnetic fields

Author	dc.contributor.author	Klopp, Frédéric
Author	dc.contributor.author	Raikov, Georgi	es_CL
Admission date	dc.date.accessioned	2009-04-14T11:38:59Z
Available date	dc.date.available	2009-04-14T11:38:59Z
Publication date	dc.date.issued	2006-11
Cita de ítem	dc.identifier.citation	COMMUNICATIONS IN MATHEMATICAL PHYSICS Volume: 267 Issue: 3 Pages: 669-701 Published: NOV 2006	en
Identifier	dc.identifier.issn	0010-3616
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/118815
Abstract	dc.description.abstract	We consider the 2D Landau Hamiltonian H perturbed by a random alloy-type potential, and investigate the Lifshitz tails, i.e. the asymptotic behavior of the corresponding integrated density of states (IDS) near the edges in the spectrum of H. If a given edge coincides with a Landau level, we obtain different asymptotic formulae for power-like, exponential sub-Gaussian, and super-Gaussian decay of the one-site potential. If the edge is away from the Landau levels, we impose a rational-flux assumption on the magnetic field, consider compactly supported one-site potentials, and formulate a theorem which is analogous to a result obtained by the first author and T. Wolff in [25] for the case of a vanishing magnetic field.	en
Lenguage	dc.language.iso	en	en
Publisher	dc.publisher	SPRINGER	en
Keywords	dc.subject	PERIODIC SCHRODINGER-OPERATORS	en
Título	dc.title	Lifshitz tails in constant magnetic fields	en
Document type	dc.type	Artículo de revista