A Closed Band-Projected Density Algebra Must be Girvin-MacDonald-Platzman
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912055071604736 |
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| author | Wang, Ziwei Simon, Steven H. |
| author_facet | Wang, Ziwei Simon, Steven H. |
| contents | 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 towards approximating this algebra in a Chern band. In this paper, we prove that the GMP algebra, up to form factors, is the $\textit{only}$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_00969 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Closed Band-Projected Density Algebra Must be Girvin-MacDonald-Platzman Wang, Ziwei Simon, Steven H. Strongly Correlated Electrons 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 towards approximating this algebra in a Chern band. In this paper, we prove that the GMP algebra, up to form factors, is the $\textit{only}$ 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. |
| title | A Closed Band-Projected Density Algebra Must be Girvin-MacDonald-Platzman |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2410.00969 |