Published September 1, 1982
| public
Journal Article
Continuity of the density of states in a magnetic field
- Creators
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Simon, Barry
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. We prove that k(E,B) is continuous in B at all points where it is continuous in E. We prove a similar result when V is zero and B is a multiple of a periodic magnetic field.
Additional Information
© 1982 The Institute of Physics. Received 22 March 1982. It is a pleasure to thank S Novikov for raising the questions answered here, and D Thouless for a valuable discussion. Research partially supported by USNSF Grant MCS 78-01885.Additional details
- Eprint ID
- 32517
- Resolver ID
- CaltechAUTHORS:20120717-114851010
- MCS 78-01885
- NSF
- Created
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2012-07-17Created from EPrint's datestamp field
- Updated
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2022-07-12Created from EPrint's last_modified field