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The integrated density of states in strong magnetic fields
Authors:Philippe Briet
Affiliation:a Centre de Physique Théorique, CNRS-Luminy, Case 907, 13288 Marseille, France
b Departamento de Matemáticas, Facultad de Ciencias, Universidad de Chile, Las Palmeras 3425, Casilla 653, Santiago, Chile
Abstract:We consider three-dimensional Schrödinger operators with constant magnetic fields and ergodic electric potentials. We study the strong magnetic field asymptotic behaviour of the integrated density of states, distinguishing between the asymptotics far from the Landau levels, and the asymptotics near a given Landau level.
Keywords:Schrö  dinger operators   Magnetic fields   Ergodic potentials   Integrated density of states
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