The emptiness formation probability correlation in homogeneous and dimerized XX chains
We review some known properties of the emptiness formation probability correlation which we have calculated numerically for spin-1/2 XX chains with constant (homogeneous) or alternating (dimerized) nearestneighbor coupling and an external field (in z direction) for arbitrary temperature. The lon...
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| Дата: | 2009 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2009
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/119994 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The emptiness formation probability correlation in homogeneous and dimerized XX chains / J. Stolze, T. Garske // Condensed Matter Physics. — 2009. — Т. 12, № 3. — С. 369-380. — Бібліогр.: 29 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1199942017-06-11T03:04:34Z The emptiness formation probability correlation in homogeneous and dimerized XX chains Stolze, J. Garske, T. We review some known properties of the emptiness formation probability correlation which we have calculated numerically for spin-1/2 XX chains with constant (homogeneous) or alternating (dimerized) nearestneighbor coupling and an external field (in z direction) for arbitrary temperature. The long-distance asymptotic behavior of this correlation is known to be Gaussian at zero temperature and exponential at finite temperature for the homogeneous chain. By simple analytical arguments the exponential behavior at finite temperature extends to the dimerized system. Numerical results for the dimerized chain confirm the exponential decay at finite temperature and show Gaussian decay at zero temperature. Ми оглядаємо деякi вiдомi властивостi кореляцiї “ймовiрностi утворення порожнини”, яку ми обчислюємо чисельно для спiн-1/2 XX ланцюжкiв з сталими (однорiдними) або змiнними (димеризованими) взаємодiями найближчих сусiдiв i зовнiшнiм полем (у z напрямку) при довiльнiй температурi. Для однорiдного ланцюжка асимптотична поведiнка на великих вiдстанях цiєї кореляцiї є гаусова при нульовiй температурi i експоненцiйна при скiнченiй температурi. Простими аналiтичними аргументами експоненцiйна поведiнка при скiнченiй температурi поширюється i на димеризовану систему. Чисельнi результати для димеризованого ланцюжка пiдтверджують експоненцiйне згасання при скiнченiй температурi i дають гаусове згасання при нульовiй температурi. 2009 Article The emptiness formation probability correlation in homogeneous and dimerized XX chains / J. Stolze, T. Garske // Condensed Matter Physics. — 2009. — Т. 12, № 3. — С. 369-380. — Бібліогр.: 29 назв. — англ. 1607-324X PACS: 75.10.Jm, 75.10.Pq DOI:10.5488/CMP.12.3.369 http://dspace.nbuv.gov.ua/handle/123456789/119994 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We review some known properties of the emptiness formation probability correlation which we have calculated
numerically for spin-1/2 XX chains with constant (homogeneous) or alternating (dimerized) nearestneighbor
coupling and an external field (in z direction) for arbitrary temperature. The long-distance asymptotic
behavior of this correlation is known to be Gaussian at zero temperature and exponential at finite temperature
for the homogeneous chain. By simple analytical arguments the exponential behavior at finite temperature
extends to the dimerized system. Numerical results for the dimerized chain confirm the exponential decay at
finite temperature and show Gaussian decay at zero temperature. |
| format |
Article |
| author |
Stolze, J. Garske, T. |
| spellingShingle |
Stolze, J. Garske, T. The emptiness formation probability correlation in homogeneous and dimerized XX chains Condensed Matter Physics |
| author_facet |
Stolze, J. Garske, T. |
| author_sort |
Stolze, J. |
| title |
The emptiness formation probability correlation in homogeneous and dimerized XX chains |
| title_short |
The emptiness formation probability correlation in homogeneous and dimerized XX chains |
| title_full |
The emptiness formation probability correlation in homogeneous and dimerized XX chains |
| title_fullStr |
The emptiness formation probability correlation in homogeneous and dimerized XX chains |
| title_full_unstemmed |
The emptiness formation probability correlation in homogeneous and dimerized XX chains |
| title_sort |
emptiness formation probability correlation in homogeneous and dimerized xx chains |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/119994 |
| citation_txt |
The emptiness formation probability correlation in homogeneous and dimerized XX chains / J. Stolze, T. Garske // Condensed Matter Physics. — 2009. — Т. 12, № 3. — С. 369-380. — Бібліогр.: 29 назв. — англ. |
| series |
Condensed Matter Physics |
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2023-10-18T20:35:58Z |
| last_indexed |
2023-10-18T20:35:58Z |
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