Order Parameters in XXZ-Type Spin 1/2 Quantum Models with Gibbsian Ground States
A class of general spin 1/2 lattice models on hyper-cubic lattice Zd, whose Hamiltonians are sums of two functions depending on the Pauli matrices S¹, S² and S³, respectively, are found, which have Gibbsian eigen (ground) states and two order parameters for two spin components x, z simultaneously fo...
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| Дата: | 2006 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2006
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146442 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Order Parameters in XXZ-Type Spin 1/2 Quantum Models with Gibbsian Ground States / W. Skrypnik // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 8 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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dspace |
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irk-123456789-1464422019-02-10T01:25:05Z Order Parameters in XXZ-Type Spin 1/2 Quantum Models with Gibbsian Ground States Skrypnik, W. A class of general spin 1/2 lattice models on hyper-cubic lattice Zd, whose Hamiltonians are sums of two functions depending on the Pauli matrices S¹, S² and S³, respectively, are found, which have Gibbsian eigen (ground) states and two order parameters for two spin components x, z simultaneously for large values of the parameter α playing the role of the inverse temperature. It is shown that the ferromagnetic order in x direction exists for all dimensions d ≥ 1 for a wide class of considered models (a proof is remarkably simple). 2006 Article Order Parameters in XXZ-Type Spin 1/2 Quantum Models with Gibbsian Ground States / W. Skrypnik // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 8 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 82B10; 82B20; 82B26 http://dspace.nbuv.gov.ua/handle/123456789/146442 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
A class of general spin 1/2 lattice models on hyper-cubic lattice Zd, whose Hamiltonians are sums of two functions depending on the Pauli matrices S¹, S² and S³, respectively, are found, which have Gibbsian eigen (ground) states and two order parameters for two spin components x, z simultaneously for large values of the parameter α playing the role of the inverse temperature. It is shown that the ferromagnetic order in x direction exists for all dimensions d ≥ 1 for a wide class of considered models (a proof is remarkably simple). |
| format |
Article |
| author |
Skrypnik, W. |
| spellingShingle |
Skrypnik, W. Order Parameters in XXZ-Type Spin 1/2 Quantum Models with Gibbsian Ground States Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Skrypnik, W. |
| author_sort |
Skrypnik, W. |
| title |
Order Parameters in XXZ-Type Spin 1/2 Quantum Models with Gibbsian Ground States |
| title_short |
Order Parameters in XXZ-Type Spin 1/2 Quantum Models with Gibbsian Ground States |
| title_full |
Order Parameters in XXZ-Type Spin 1/2 Quantum Models with Gibbsian Ground States |
| title_fullStr |
Order Parameters in XXZ-Type Spin 1/2 Quantum Models with Gibbsian Ground States |
| title_full_unstemmed |
Order Parameters in XXZ-Type Spin 1/2 Quantum Models with Gibbsian Ground States |
| title_sort |
order parameters in xxz-type spin 1/2 quantum models with gibbsian ground states |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146442 |
| citation_txt |
Order Parameters in XXZ-Type Spin 1/2 Quantum Models with Gibbsian Ground States / W. Skrypnik // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 8 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT skrypnikw orderparametersinxxztypespin12quantummodelswithgibbsiangroundstates |
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2023-05-20T17:24:47Z |
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2023-05-20T17:24:47Z |
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1796153236849164288 |