Three Order Parameters in Quantum XZ Spin-Oscillator Models with Gibbsian Ground States
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Three Order Parameters in Quantum XZ Spin-Oscillator Models with Gibbsian Ground States
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| Creator |
Dorlas, T.C.
Skrypnik, W.I. |
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| Description |
Quantum models on the hyper-cubic d-dimensional lattice of spin-1/2 particles interacting with linear oscillators are shown to have three ferromagnetic ground state order parameters. Two order parameters coincide with the magnetization in the first and third directions and the third one is a magnetization in a continuous oscillator variable. The proofs use a generalized Peierls argument and two Griffiths inequalities. The class of spin-oscillator Hamiltonians considered manifest maximal ordering in their ground states. The models have relevance for hydrogen-bond ferroelectrics. The simplest of these is proven to have a unique Gibbsian ground state.
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| Date |
2019-02-19T12:52:08Z
2019-02-19T12:52:08Z 2008 |
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| Type |
Article
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| Identifier |
Three Order Parameters in Quantum XZ Spin-Oscillator Models with Gibbsian Ground States / T.C. Dorlas, W.I. Skrypnik // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 29 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 82B10; 82B20; 82B26 http://dspace.nbuv.gov.ua/handle/123456789/149000 |
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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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