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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Дата:2009
Автори: Zvyagin, A.A., Cheranovskii, V.O.
Формат: Стаття
Мова:English
Опубліковано: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2009
Назва видання:Физика низких температур
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Онлайн доступ:http://dspace.nbuv.gov.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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-1171962017-05-21T03:02:55Z Elementary excitations and thermodynamics of zig-zag spin ladders with alternating nearest neighbor exchange interactions Zvyagin, A.A. Cheranovskii, V.O. Низкотемпеpатуpный магнетизм 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. 2009 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/117196 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 Низкотемпеpатуpный магнетизм
Низкотемпеpатуpный магнетизм
spellingShingle Низкотемпеpатуpный магнетизм
Низкотемпеpатуpный магнетизм
Zvyagin, A.A.
Cheranovskii, V.O.
Elementary excitations and thermodynamics of zig-zag spin ladders with alternating nearest neighbor exchange interactions
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.
format Article
author Zvyagin, A.A.
Cheranovskii, V.O.
author_facet Zvyagin, A.A.
Cheranovskii, V.O.
author_sort Zvyagin, A.A.
title 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_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_sort elementary excitations and thermodynamics of zig-zag spin ladders with alternating nearest neighbor exchange interactions
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
publishDate 2009
topic_facet Низкотемпеpатуpный магнетизм
url http://dspace.nbuv.gov.ua/handle/123456789/117196
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.
series Физика низких температур
work_keys_str_mv AT zvyaginaa elementaryexcitationsandthermodynamicsofzigzagspinladderswithalternatingnearestneighborexchangeinteractions
AT cheranovskiivo elementaryexcitationsandthermodynamicsofzigzagspinladderswithalternatingnearestneighborexchangeinteractions
first_indexed 2023-10-18T20:29:15Z
last_indexed 2023-10-18T20:29:15Z
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