Order Parameters in XXZ-Type Spin 1/2 Quantum Models with Gibbsian Ground States
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Order Parameters in XXZ-Type Spin 1/2 Quantum Models with Gibbsian Ground States
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| Creator |
Skrypnik, W.
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| 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).
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| Date |
2019-02-09T17:13:09Z
2019-02-09T17:13:09Z 2006 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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