Commensurate-incommensurate phase transitions for multichain quantum spin models: exact results
The behavior in an external magnetic field is studied exactly for a wide class of multichain quantum spin models. It is shown that the magnetic field together with the interchain couplings cause commensurate-incommensurate phase transitions between the gapless phases in the ground state. The conform...
Збережено в:
| Дата: | 2000 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2000
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| Назва видання: | Физика низких температур |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/128995 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Commensurate-incommensurate phase transitions for multichain quantum spin models: exact results / A.A. Zvyagin // Физика низких температур. — 2000. — Т. 26, № 2. — С. 181-196. — Бібліогр.: 49 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-128995 |
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dspace |
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irk-123456789-1289952018-01-15T03:05:01Z Commensurate-incommensurate phase transitions for multichain quantum spin models: exact results Zvyagin, A.A. Низкоразмерные и неупорядоченные системы The behavior in an external magnetic field is studied exactly for a wide class of multichain quantum spin models. It is shown that the magnetic field together with the interchain couplings cause commensurate-incommensurate phase transitions between the gapless phases in the ground state. The conformal limit of these models is studied and it is shown that the low-lying excitations for the incommensurate phases are not independent, because they are governed by the same magnetic field (chemical potential for excitations). A scenario for the transition from one to two space dimensions for the exactly integrable multichain quantum spin models is proposed, and it is shown that the incommensurate phases in an external magnetic field disappear in the limit of an infinite number of coupled spin chains. The similarities in the external field behavior for the quantum multichain spin models and a wide class of quantum field theories are discussed. The scaling exponents for the appearence of the gap in the spectrum of low-lying excitations of the quantum multichain models due to the relevant perturbations of the integrable theories are calculated. 2000 Article Commensurate-incommensurate phase transitions for multichain quantum spin models: exact results / A.A. Zvyagin // Физика низких температур. — 2000. — Т. 26, № 2. — С. 181-196. — Бібліогр.: 49 назв. — англ. 0132-6414 PACS: 75.10.Jm, 11.10.Kk http://dspace.nbuv.gov.ua/handle/123456789/128995 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 |
Низкоразмерные и неупорядоченные системы Низкоразмерные и неупорядоченные системы |
| spellingShingle |
Низкоразмерные и неупорядоченные системы Низкоразмерные и неупорядоченные системы Zvyagin, A.A. Commensurate-incommensurate phase transitions for multichain quantum spin models: exact results Физика низких температур |
| description |
The behavior in an external magnetic field is studied exactly for a wide class of multichain quantum spin models. It is shown that the magnetic field together with the interchain couplings cause commensurate-incommensurate phase transitions between the gapless phases in the ground state. The conformal limit of these models is studied and it is shown that the low-lying excitations for the incommensurate phases are not independent, because they are governed by the same magnetic field (chemical potential for excitations). A scenario for the transition from one to two space dimensions for the exactly integrable multichain quantum spin models is proposed, and it is shown that the incommensurate phases in an external magnetic field disappear in the limit of an infinite number of coupled spin chains. The similarities in the external field behavior for the quantum multichain spin models and a wide class of quantum field theories are discussed. The scaling exponents for the appearence of the gap in the spectrum of low-lying excitations of the quantum multichain models due to the relevant perturbations of the integrable theories are calculated. |
| format |
Article |
| author |
Zvyagin, A.A. |
| author_facet |
Zvyagin, A.A. |
| author_sort |
Zvyagin, A.A. |
| title |
Commensurate-incommensurate phase transitions for multichain quantum spin models: exact results |
| title_short |
Commensurate-incommensurate phase transitions for multichain quantum spin models: exact results |
| title_full |
Commensurate-incommensurate phase transitions for multichain quantum spin models: exact results |
| title_fullStr |
Commensurate-incommensurate phase transitions for multichain quantum spin models: exact results |
| title_full_unstemmed |
Commensurate-incommensurate phase transitions for multichain quantum spin models: exact results |
| title_sort |
commensurate-incommensurate phase transitions for multichain quantum spin models: exact results |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2000 |
| topic_facet |
Низкоразмерные и неупорядоченные системы |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/128995 |
| citation_txt |
Commensurate-incommensurate phase transitions for multichain quantum spin models: exact results / A.A. Zvyagin // Физика низких температур. — 2000. — Т. 26, № 2. — С. 181-196. — Бібліогр.: 49 назв. — англ. |
| series |
Физика низких температур |
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2023-10-18T20:56:38Z |
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2023-10-18T20:56:38Z |
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