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Homotopy and Quantization in Condensed Matter Physics

Avron, J. E. and Seiler, R. and Simon, B. (1983) Homotopy and Quantization in Condensed Matter Physics. Physical Review Letters, 51 (1). pp. 51-53. ISSN 0031-9007. https://resolver.caltech.edu/CaltechAUTHORS:20180417-104513799

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevLett.51.51DOIArticle
ORCID:
AuthorORCID
Simon, B.0000-0003-2561-8539
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.
Funders:
Funding AgencyGrant Number
NSFMCS-81-20833
Issue or Number:1
Classification Code:PACS numbers: 72.20.My, 02.40.+m, 71.25.-s
Record Number:CaltechAUTHORS:20180417-104513799
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180417-104513799
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:85896
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:17 Apr 2018 19:58
Last Modified:03 Oct 2019 19:37

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