Continuity of the density of states in a magnetic field

Barry Simon

Type: Article

Publication Date: 1982-09-01

Citations: 7

DOI: https://doi.org/10.1088/0305-4470/15/9/043

Abstract

Fix a periodic potential, V, and let k(E,B) be the integrated density of states up to energy E in a constant magnetic field B. The author proves that k(E,B) is continuous in B at all points where it is continuous in E. He proves a similar result when V is zero and B is a multiple of a periodic magnetic field.

Locations

Journal of Physics A Mathematical and General - View
CiteSeer X (The Pennsylvania State University) - View - PDF

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