Elementary excitations and thermodynamics of zig-zag spin ladders with alternating nearest neighbor exchange interactions
The one-dimensional spin-1/2 model, in which the alternation of the exchange interactions between neighboring spins is accompanied by the next-nearest neighbor (NNN) spin exchange (zig-zag spin ladder with the alternation) is studied. Thermodynamic characteristics of the considered quantum spin chai...
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| Опубліковано в: : | Физика низких температур |
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| Дата: | 2009 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2009
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/117196 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Elementary excitations and thermodynamics of zig-zag spin ladders with alternating nearest neighbor exchange interactions / A.A. Zvyagin, V.O. Cheranovskii // Физика низких температур. — 2009. — Т. 35, № 6. — С. 578-592. — Бібліогр.: 25 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862575150191345664 |
|---|---|
| author | Zvyagin, A.A. Cheranovskii, V.O. |
| author_facet | Zvyagin, A.A. Cheranovskii, V.O. |
| citation_txt | Elementary excitations and thermodynamics of zig-zag spin ladders with alternating nearest neighbor exchange interactions / A.A. Zvyagin, V.O. Cheranovskii // Физика низких температур. — 2009. — Т. 35, № 6. — С. 578-592. — Бібліогр.: 25 назв. — англ. |
| collection | DSpace DC |
| container_title | Физика низких температур |
| description | The one-dimensional spin-1/2 model, in which the alternation of the exchange interactions between neighboring spins is accompanied by the next-nearest neighbor (NNN) spin exchange (zig-zag spin ladder with the alternation) is studied. Thermodynamic characteristics of the considered quantum spin chain are obtained in the mean-field like approximation. Depending on the strength of the NNN interactions, the model manifests either the spin-gapped behavior of low-lying excitations at low magnetic fields, or the ferrimagnetic ordering in the ground state with gapless low-lying excitations. The system undergoes second order or first order quantum phase transitions, governed by the external magnetic field, NNN coupling strength, and the degree of the alternation. Hence, NNN spin–spin interactions in a dimerized quantum spin chain can produce a spontaneous magnetization. On the other hand, for quantum spin chains with a spontaneous magnetization, caused by NNN spin–spin couplings, the alternation of nearest-neighbor (NN) exchange interactions can be the reason for destroying of that magnetization and the onset of a spin gap for low-lying excitations. Alternating NN interactions produce a spin gap between two branches of low-energy excitations, and the NNN interactions yield asymmetry of dispersion laws of those excitations, with possible minima, corresponding to incommensurate structures in the spin chain.
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| first_indexed | 2025-11-26T11:44:34Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-117196 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-11-26T11:44:34Z |
| publishDate | 2009 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Zvyagin, A.A. Cheranovskii, V.O. 2017-05-20T17:14:33Z 2017-05-20T17:14:33Z 2009 Elementary excitations and thermodynamics of zig-zag spin ladders with alternating nearest neighbor exchange interactions / A.A. Zvyagin, V.O. Cheranovskii // Физика низких температур. — 2009. — Т. 35, № 6. — С. 578-592. — Бібліогр.: 25 назв. — англ. 0132-6414 PACS: 75.10.Pq, 75.40.Cx https://nasplib.isofts.kiev.ua/handle/123456789/117196 The one-dimensional spin-1/2 model, in which the alternation of the exchange interactions between neighboring spins is accompanied by the next-nearest neighbor (NNN) spin exchange (zig-zag spin ladder with the alternation) is studied. Thermodynamic characteristics of the considered quantum spin chain are obtained in the mean-field like approximation. Depending on the strength of the NNN interactions, the model manifests either the spin-gapped behavior of low-lying excitations at low magnetic fields, or the ferrimagnetic ordering in the ground state with gapless low-lying excitations. The system undergoes second order or first order quantum phase transitions, governed by the external magnetic field, NNN coupling strength, and the degree of the alternation. Hence, NNN spin–spin interactions in a dimerized quantum spin chain can produce a spontaneous magnetization. On the other hand, for quantum spin chains with a spontaneous magnetization, caused by NNN spin–spin couplings, the alternation of nearest-neighbor (NN) exchange interactions can be the reason for destroying of that magnetization and the onset of a spin gap for low-lying excitations. Alternating NN interactions produce a spin gap between two branches of low-energy excitations, and the NNN interactions yield asymmetry of dispersion laws of those excitations, with possible minima, corresponding to incommensurate structures in the spin chain. A.A.Z. thanks S.-L. Drechsler and W.E.A. Lorenz for
 interesting discussions. The financial support from the
 DFG via Grant BU 887/7-1 (A.A.Z.), and the Ukrainian
 Fundamental Research State Fund via Grant F25.4/13 is
 acknowledged. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Низкотемпеpатуpный магнетизм Elementary excitations and thermodynamics of zig-zag spin ladders with alternating nearest neighbor exchange interactions Article published earlier |
| spellingShingle | Elementary excitations and thermodynamics of zig-zag spin ladders with alternating nearest neighbor exchange interactions Zvyagin, A.A. Cheranovskii, V.O. Низкотемпеpатуpный магнетизм |
| title | Elementary excitations and thermodynamics of zig-zag spin ladders with alternating nearest neighbor exchange interactions |
| title_full | Elementary excitations and thermodynamics of zig-zag spin ladders with alternating nearest neighbor exchange interactions |
| title_fullStr | Elementary excitations and thermodynamics of zig-zag spin ladders with alternating nearest neighbor exchange interactions |
| title_full_unstemmed | Elementary excitations and thermodynamics of zig-zag spin ladders with alternating nearest neighbor exchange interactions |
| title_short | Elementary excitations and thermodynamics of zig-zag spin ladders with alternating nearest neighbor exchange interactions |
| title_sort | elementary excitations and thermodynamics of zig-zag spin ladders with alternating nearest neighbor exchange interactions |
| topic | Низкотемпеpатуpный магнетизм |
| topic_facet | Низкотемпеpатуpный магнетизм |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/117196 |
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