Fermionic versus bosonic descriptions of one-dimensional spin-gapped antiferromagnets
In terms of spinless fermions and spin waves, we describe magnetic properties of a spin-1/2 ferromagnetic– antiferromagnetic bond-alternating chain which behaves as a Haldane-gap antiferromagnet. On one hand, we employ the Jordan–Wigner transformation and treat the fermionic Hamiltonian within th...
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| Опубліковано в: : | Физика низких температур |
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| Дата: | 2005 |
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| Формат: | Стаття |
| Мова: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2005
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/121692 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Fermionic versus bosonic descriptions of one-dimensional spin-gapped antiferromagnets / Shoji Yamamoto, Kei-ichi Funase // Физика низких температур. — 2005. — Т. 31, № 8-9. — С. 974-983. — Бібліогр.: 112 назв. — англ. |
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Yamamoto, Shoji Funase, Kei-ichi 2017-06-15T13:16:01Z 2017-06-15T13:16:01Z 2005 Fermionic versus bosonic descriptions of one-dimensional spin-gapped antiferromagnets / Shoji Yamamoto, Kei-ichi Funase // Физика низких температур. — 2005. — Т. 31, № 8-9. — С. 974-983. — Бібліогр.: 112 назв. — англ. 0132-6414 PACS: 75.10.Jm, 75.40.Cx, 75.40.Gb https://nasplib.isofts.kiev.ua/handle/123456789/121692 In terms of spinless fermions and spin waves, we describe magnetic properties of a spin-1/2 ferromagnetic– antiferromagnetic bond-alternating chain which behaves as a Haldane-gap antiferromagnet. On one hand, we employ the Jordan–Wigner transformation and treat the fermionic Hamiltonian within the Hartree–Fock approximation. On the other hand, we employ the Holstein– Primakoff transformation and modify the conventional spin-wave theory so as to restore the sublattice symmetry. We calculate the excitation gap, the specific heat, the magnetic susceptibility, magnetization curves, and the nuclear spin-lattice relaxation rate with varying bond alternation. These schemes are further applied to a bond-alternating tetramerized chain which behaves as a ferrimagnet. The fermionic language is particularly stressed as a useful tool to investigate one-dimensional spin-gapped antiferromagnets, while the bosonic one works better for ferrimagnets. The authors are grateful to H. Hori for valuable comments. This work was supported by the Ministry of Education, Culture, Sports, Science and Technology of Japan, and the Iketani Science and Technology Foundation. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур К семидесятилетию антиферромагнетизма Fermionic versus bosonic descriptions of one-dimensional spin-gapped antiferromagnets Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Fermionic versus bosonic descriptions of one-dimensional spin-gapped antiferromagnets |
| spellingShingle |
Fermionic versus bosonic descriptions of one-dimensional spin-gapped antiferromagnets Yamamoto, Shoji Funase, Kei-ichi К семидесятилетию антиферромагнетизма |
| title_short |
Fermionic versus bosonic descriptions of one-dimensional spin-gapped antiferromagnets |
| title_full |
Fermionic versus bosonic descriptions of one-dimensional spin-gapped antiferromagnets |
| title_fullStr |
Fermionic versus bosonic descriptions of one-dimensional spin-gapped antiferromagnets |
| title_full_unstemmed |
Fermionic versus bosonic descriptions of one-dimensional spin-gapped antiferromagnets |
| title_sort |
fermionic versus bosonic descriptions of one-dimensional spin-gapped antiferromagnets |
| author |
Yamamoto, Shoji Funase, Kei-ichi |
| author_facet |
Yamamoto, Shoji Funase, Kei-ichi |
| topic |
К семидесятилетию антиферромагнетизма |
| topic_facet |
К семидесятилетию антиферромагнетизма |
| publishDate |
2005 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
In terms of spinless fermions and spin waves, we describe magnetic properties of a spin-1/2 ferromagnetic–
antiferromagnetic bond-alternating chain which behaves as a Haldane-gap antiferromagnet.
On one hand, we employ the Jordan–Wigner transformation and treat the fermionic
Hamiltonian within the Hartree–Fock approximation. On the other hand, we employ the Holstein–
Primakoff transformation and modify the conventional spin-wave theory so as to restore the
sublattice symmetry. We calculate the excitation gap, the specific heat, the magnetic susceptibility,
magnetization curves, and the nuclear spin-lattice relaxation rate with varying bond alternation.
These schemes are further applied to a bond-alternating tetramerized chain which behaves as
a ferrimagnet. The fermionic language is particularly stressed as a useful tool to investigate one-dimensional
spin-gapped antiferromagnets, while the bosonic one works better for ferrimagnets.
|
| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/121692 |
| citation_txt |
Fermionic versus bosonic descriptions of one-dimensional spin-gapped antiferromagnets / Shoji Yamamoto, Kei-ichi Funase // Физика низких температур. — 2005. — Т. 31, № 8-9. — С. 974-983. — Бібліогр.: 112 назв. — англ. |
| work_keys_str_mv |
AT yamamotoshoji fermionicversusbosonicdescriptionsofonedimensionalspingappedantiferromagnets AT funasekeiichi fermionicversusbosonicdescriptionsofonedimensionalspingappedantiferromagnets |
| first_indexed |
2025-12-07T15:32:15Z |
| last_indexed |
2025-12-07T15:32:15Z |
| _version_ |
1850864079025995776 |