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| _version_ | 1862650445696073728 |
|---|---|
| author | Krasovsky, I.V. |
| author_facet | Krasovsky, I.V. |
| 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. |
| collection | DSpace DC |
| container_title | 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.
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| first_indexed | 2025-12-01T17:01:48Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-175274 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-12-01T17:01:48Z |
| publishDate | 1995 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Krasovsky, I.V. 2021-01-31T16:52:28Z 2021-01-31T16:52:28Z 1995 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 https://nasplib.isofts.kiev.ua/handle/123456789/175274 537.6 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. The author wishes to thank V. I. Peresada and A. A. Zvyagin for valuable discussions.
 
 This article was translated by the author and edited by Dr. R. Beyer. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Кpаткие сообщения On spectral properties of the uniaxially anisotropic Heisenberg Hamiltonian Article published earlier |
| spellingShingle | On spectral properties of the uniaxially anisotropic Heisenberg Hamiltonian Krasovsky, I.V. Кpаткие сообщения |
| title | 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_short | On spectral properties of the uniaxially anisotropic Heisenberg Hamiltonian |
| title_sort | on spectral properties of the uniaxially anisotropic heisenberg hamiltonian |
| topic | Кpаткие сообщения |
| topic_facet | Кpаткие сообщения |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/175274 |
| work_keys_str_mv | AT krasovskyiv onspectralpropertiesoftheuniaxiallyanisotropicheisenberghamiltonian |