On spectral properties of the uniaxially anisotropic Heisenberg Hamiltonian
The uniaxially anisotropic Heisenberg Hamiltonian H is considered, which describes a simple lattice of spins and incorporates first-nearest, ..., m-nearest neighbour interactions under the condition that Jjαj ≥ 0, j = 1, ..., m, where Jj, αj are the exchange and anisotropy constants of the j-th shel...
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| Published in: | Физика низких температур |
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| Date: | 1995 |
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| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
1995
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/175274 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On spectral properties of the uniaxially anisotropic Heisenberg Hamiltonian / I.V. Krasovsky // Физика низких температур. — 1995. — Т. 21, № 3. — С. 331-332. — Бібліогр.: 3 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | The uniaxially anisotropic Heisenberg Hamiltonian H is considered, which describes a simple lattice of spins and incorporates first-nearest, ..., m-nearest neighbour interactions under the condition that Jjαj ≥ 0, j = 1, ..., m, where Jj, αj are the exchange and anisotropy constants of the j-th shell of neighbours, respectively. It is proved that, there are no bound states in the two-magnon space above the band of the continuous spectrum of H and, for the XY model, there are no two-magnon bound states at all.
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| ISSN: | 0132-6414 |