Internal Lifshitz tails for Schrödinger operators with random potentials
Copyright policy )Internal Lifshitz tails for Schrödinger operators with random potentials
In this short note, we prove that, for periodic Schrödinger operators perturbed by an Anderson-type random potential with long-range single site potential, the density of states always show a Lifshitz tail at a band edge. Thus, we correct a mistake made in an earlier paper [F. Klopp, Duke Math. J. 98, 335–396 (1999)].
- Paris 13 University France
Linear difference operators, Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics, Random linear operators, Applications of operator theory in statistical physics, Selfadjoint operator theory in quantum theory, including spectral analysis
Linear difference operators, Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics, Random linear operators, Applications of operator theory in statistical physics, Selfadjoint operator theory in quantum theory, including spectral analysis
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