Continuity of the density of states in a magnetic field
Open Access
- 1 September 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (9) , 2981-2983
- 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.Keywords
This publication has 3 references indexed in Scilit:
- Manetoelectronic Denisty of States for a Model CrystalPhysica Status Solidi (b), 1979
- Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fieldsPhysical Review B, 1976
- Dynamics of Electrons in Solids in External FieldsPhysical Review B, 1968