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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Datum: | 1995 |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
1995
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Zitieren: | 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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irk-123456789-1752742021-02-01T01:28:08Z On spectral properties of the uniaxially anisotropic Heisenberg Hamiltonian Krasovsky, I.V. Кpаткие сообщения 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. 1995 Article 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. 0132-6414 http://dspace.nbuv.gov.ua/handle/123456789/175274 537.6 en Физика низких температур Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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Кpаткие сообщения Кpаткие сообщения |
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Кpаткие сообщения Кpаткие сообщения Krasovsky, I.V. On spectral properties of the uniaxially anisotropic Heisenberg Hamiltonian Физика низких температур |
description |
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. |
format |
Article |
author |
Krasovsky, I.V. |
author_facet |
Krasovsky, I.V. |
author_sort |
Krasovsky, I.V. |
title |
On spectral properties of the uniaxially anisotropic Heisenberg Hamiltonian |
title_short |
On spectral properties of the uniaxially anisotropic Heisenberg Hamiltonian |
title_full |
On spectral properties of the uniaxially anisotropic Heisenberg Hamiltonian |
title_fullStr |
On spectral properties of the uniaxially anisotropic Heisenberg Hamiltonian |
title_full_unstemmed |
On spectral properties of the uniaxially anisotropic Heisenberg Hamiltonian |
title_sort |
on spectral properties of the uniaxially anisotropic heisenberg hamiltonian |
publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
publishDate |
1995 |
topic_facet |
Кpаткие сообщения |
url |
http://dspace.nbuv.gov.ua/handle/123456789/175274 |
citation_txt |
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. |
series |
Физика низких температур |
work_keys_str_mv |
AT krasovskyiv onspectralpropertiesoftheuniaxiallyanisotropicheisenberghamiltonian |
first_indexed |
2025-07-15T12:31:45Z |
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2025-07-15T12:31:45Z |
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1837716163716448256 |