Rotons in anyon superfluids
Abstract We consider the problem of calculating the excitation spectrum of a gas of nonrelativistic anyons. When the anyons have statistics close to fermionic and the statistical angle has the form θ = π(1 − 1 k $$ \frac{1}{k} $$ ) where k is a large integer, the problem can be solved by employing t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2021)101 |
| _version_ | 1818437536232505344 |
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| author | Yi-Hsien Du Umang Mehta Dam Thanh Son |
| author_facet | Yi-Hsien Du Umang Mehta Dam Thanh Son |
| author_sort | Yi-Hsien Du |
| collection | DOAJ |
| description | Abstract We consider the problem of calculating the excitation spectrum of a gas of nonrelativistic anyons. When the anyons have statistics close to fermionic and the statistical angle has the form θ = π(1 − 1 k $$ \frac{1}{k} $$ ) where k is a large integer, the problem can be solved by employing the method of bosonization, which maps the problem to that of an infinite number of bosonic excitations coupled to a U(1) Chern-Simons gauge field. The spectrum consists of a Goldstone boson branch and a large number of massive branches, each having roton minima and maxima. The dispersion curves asymptote to the Landau levels at large momentum. |
| first_indexed | 2024-12-14T17:26:14Z |
| format | Article |
| id | doaj.art-a638f4f415424ef8bb47a9051d5900e3 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T17:26:14Z |
| publishDate | 2021-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a638f4f415424ef8bb47a9051d5900e32022-12-21T22:53:13ZengSpringerOpenJournal of High Energy Physics1029-84792021-03-012021311910.1007/JHEP03(2021)101Rotons in anyon superfluidsYi-Hsien Du0Umang Mehta1Dam Thanh Son2Kadanoff Center for Theoretical Physics, University of ChicagoKadanoff Center for Theoretical Physics, University of ChicagoKadanoff Center for Theoretical Physics, University of ChicagoAbstract We consider the problem of calculating the excitation spectrum of a gas of nonrelativistic anyons. When the anyons have statistics close to fermionic and the statistical angle has the form θ = π(1 − 1 k $$ \frac{1}{k} $$ ) where k is a large integer, the problem can be solved by employing the method of bosonization, which maps the problem to that of an infinite number of bosonic excitations coupled to a U(1) Chern-Simons gauge field. The spectrum consists of a Goldstone boson branch and a large number of massive branches, each having roton minima and maxima. The dispersion curves asymptote to the Landau levels at large momentum.https://doi.org/10.1007/JHEP03(2021)101AnyonsChern-Simons TheoriesEffective Field TheoriesTopological States of Matter |
| spellingShingle | Yi-Hsien Du Umang Mehta Dam Thanh Son Rotons in anyon superfluids Journal of High Energy Physics Anyons Chern-Simons Theories Effective Field Theories Topological States of Matter |
| title | Rotons in anyon superfluids |
| title_full | Rotons in anyon superfluids |
| title_fullStr | Rotons in anyon superfluids |
| title_full_unstemmed | Rotons in anyon superfluids |
| title_short | Rotons in anyon superfluids |
| title_sort | rotons in anyon superfluids |
| topic | Anyons Chern-Simons Theories Effective Field Theories Topological States of Matter |
| url | https://doi.org/10.1007/JHEP03(2021)101 |
| work_keys_str_mv | AT yihsiendu rotonsinanyonsuperfluids AT umangmehta rotonsinanyonsuperfluids AT damthanhson rotonsinanyonsuperfluids |