Ordering of Energy Levels for Extended SU(N) Hubbard Chain
The Lieb-Mattis theorem on the antiferromagnetic ordering of energy levels is generalized to SU(N) extended Hubbard model with Heisenberg exchange and pair-hopping terms. It is proved that the minimum energy levels among the states from equivalent representations are nondegenerate and ordered accord...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2010 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146318 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Ordering of Energy Levels for Extended SU(N) Hubbard Chain / T. Hakobyan // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 30 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862594913317683200 |
|---|---|
| author | Hakobyan, T. |
| author_facet | Hakobyan, T. |
| citation_txt | Ordering of Energy Levels for Extended SU(N) Hubbard Chain / T. Hakobyan // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 30 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The Lieb-Mattis theorem on the antiferromagnetic ordering of energy levels is generalized to SU(N) extended Hubbard model with Heisenberg exchange and pair-hopping terms. It is proved that the minimum energy levels among the states from equivalent representations are nondegenerate and ordered according to the dominance order of corresponding Young diagrams. In particular, the ground states form a unique antisymmetric multiplet. The relation with the similar ordering among the spatial wavefunctions with different symmetry classes of ordinary quantum mechanics is discussed also.
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| first_indexed | 2025-11-27T13:06:17Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146318 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-27T13:06:17Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Hakobyan, T. 2019-02-08T20:38:57Z 2019-02-08T20:38:57Z 2010 Ordering of Energy Levels for Extended SU(N) Hubbard Chain / T. Hakobyan // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 30 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81R05; 82D40; 82B20 DOI:10.3842/SIGMA.2010.024 https://nasplib.isofts.kiev.ua/handle/123456789/146318 The Lieb-Mattis theorem on the antiferromagnetic ordering of energy levels is generalized to SU(N) extended Hubbard model with Heisenberg exchange and pair-hopping terms. It is proved that the minimum energy levels among the states from equivalent representations are nondegenerate and ordered according to the dominance order of corresponding Young diagrams. In particular, the ground states form a unique antisymmetric multiplet. The relation with the similar ordering among the spatial wavefunctions with different symmetry classes of ordinary quantum mechanics is discussed also. This paper is a contribution to the Proceedings of the XVIIIth International Colloquium on Integrable Systems and Quantum Symmetries (June 18–20, 2009, Prague, Czech Republic). The full collection is available at http://www.emis.de/journals/SIGMA/ISQS2009.html.
 The author is grateful to E. Chubaryan and R. Avagyan for simulating discussions. This work was supported by the grants UC-06/07, ANSEF 2229-PS, and Volkswagen Foundation of Germany en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Ordering of Energy Levels for Extended SU(N) Hubbard Chain Article published earlier |
| spellingShingle | Ordering of Energy Levels for Extended SU(N) Hubbard Chain Hakobyan, T. |
| title | Ordering of Energy Levels for Extended SU(N) Hubbard Chain |
| title_full | Ordering of Energy Levels for Extended SU(N) Hubbard Chain |
| title_fullStr | Ordering of Energy Levels for Extended SU(N) Hubbard Chain |
| title_full_unstemmed | Ordering of Energy Levels for Extended SU(N) Hubbard Chain |
| title_short | Ordering of Energy Levels for Extended SU(N) Hubbard Chain |
| title_sort | ordering of energy levels for extended su(n) hubbard chain |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146318 |
| work_keys_str_mv | AT hakobyant orderingofenergylevelsforextendedsunhubbardchain |