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
1. Verfasser: Krasovsky, I.V.
Format: Artikel
Sprache:English
Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 1995
Schriftenreihe:Физика низких температур
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Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/175274
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
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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spelling 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
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
topic Кpаткие сообщения
Кpаткие сообщения
spellingShingle 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
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last_indexed 2025-07-15T12:31:45Z
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