Stability of gaps for periodic potentials under variation of a magnetic field
- 21 August 1985
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (12) , 2199-2205
- https://doi.org/10.1088/0305-4470/18/12/017
Abstract
Let H0(B) denote the Hamiltonian of a free electron in a magnetic field B. Let V be a periodic potential. The authors show that if an interval (a,b) is not in the spectrum of H0(B0)+V for some B0, then it is not in the spectrum for all B sufficiently close to B0.Keywords
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