- 97-385 Erdos L.
- Lifschitz tail in a magnetic field: the nonclassical regime
(829K, .ps file)
Jul 1, 97
(auto. generated ps),
of related papers
Abstract. We estimate the Lifschitz tail of the two dimensional
magnetic Schr\"odinger operator with a uniform magnetic
field and random Poissonian impurities. The single site
potential is compactly supported. We obtain the exact
low energy asymptotics in the case of the hard-core potential
at high density, and we prove lower and upper bounds for
soft potential. Our methods involve magnetic localization
techniques (both in space and energy) in addition to a modified
version of the "enlargement of obstacles" method developed
by A.-S. Sznitman.