Published July 4, 1983
| Published
Journal Article
Open
Homotopy and Quantization in Condensed Matter Physics
- Creators
- Avron, J. E.
- Seiler, R.
-
Simon, B.
Chicago
An error occurred while generating the citation.
Abstract
It is shown that the integers found by Thouless et al. in the quantized Hall effect are the only quantized quantities associated with the energy bands. It is also proved that if two bands touch and then come apart as a parameter is varied, then their individual integers (conductances) may not be preserved but their sum is preserved.
Additional Information
© 1983 American Physical Society. (Received 31 May 1983) We would like to thank P. Deift, R. Feynman, B.Fuller, R. Johnson, L. Romans, T. Spencer, B. Souillard, D. Thouless, G. Toulouse, J. Zak, and especially S. Cappell for useful discussions. We thank J. Sokoloff for drawing our attention to Ref. 13. This work was supported part in part through National Science Foundation Grant No. MCS-81-20833.Attached Files
Published - PhysRevLett.51.51.pdf
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Additional details
- Eprint ID
- 85896
- Resolver ID
- CaltechAUTHORS:20180417-104513799
- NSF
- MCS-81-20833
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2018-04-17Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field