- 01-8 F. Klopp and T. Wolff
- Lifshitz tails for 2-dimensional random Schr dinger operators
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Jan 8, 01
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Abstract. The purpose of this paper is to prove that, for a 2-dimensional
continuous Anderson model, at an open band edge, the density of
states exhibits a Lifshitz behavior. The Lifshitz exponent need not
be $d/2=1$ but is determined by the behaviour of the Floquet
eigenvalues of a well chosen background periodic Schr dinger
operator.
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