Journal article
A closed band-projected density algebra must be Girvin-MacDonald-Platzman
- Abstract:
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The band-projected density operators in a Landau level obey the Girvin-MacDonald-Platzman (GMP) algebra, and a large amount of effort in the study of fractional Chern insulators has been directed toward approximating this algebra in a Chern band. In this Letter, we prove that the GMP algebra, up to form factors, is the only closed algebra that projected density operators can satisfy in two and three dimensions, highlighting the central place it occupies in the study of Chern bands in general. A number of interesting corollaries follow.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 190.5KB, Terms of use)
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- Publisher copy:
- 10.1103/PhysRevLett.134.136502
Authors
+ Engineering and Physical Sciences Research Council
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- Funder identifier:
- https://ror.org/0439y7842
- Grant:
- EP/X030881/1
- Publisher:
- American Physical Society
- Journal:
- Physical Review Letters More from this journal
- Volume:
- 134
- Article number:
- 136502
- Publication date:
- 2025-03-31
- Acceptance date:
- 2025-03-07
- DOI:
- EISSN:
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1079-7114
- ISSN:
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0031-9007
- Language:
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English
- Keywords:
- Pubs id:
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2093551
- Local pid:
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pubs:2093551
- Deposit date:
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2025-03-08
Terms of use
- Copyright holder:
- Wang and Simon
- Copyright date:
- 2025
- Rights statement:
- Copyright © 2025 The Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
- Licence:
- CC Attribution (CC BY)
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