Lifschitz Tail in a Magnetic Eld: the Nonclassical Regime
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چکیده
We estimate the Lifschitz tail of the two dimensional magnetic Schrr odinger operator with a uniform magnetic eld 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 modiied version of the "enlargement of obstacles" method developed by A.-S. Sznitman. Running title: Lifschitz Tail in a Magnetic Field.
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Lifschitz Tail in a Magnetic Eld: the Nonclassical Regime
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تاریخ انتشار 1997