A Monte Carlo study of the Falicov–Kimball model in the perturbative regime

Finite-temperature properties of the Falicov–Kimball model on the square lattice have been studied in the perturbative regime, i.e. for t/U << 1, where t is the hopping constant and U denotes the Coulomb interaction strength. In our study, we have determined the phase diagram of the model in...

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Дата:2007
Автори: Musiał, G., Dębski, L., Wojtkiewicz, J.
Формат: Стаття
Мова:English
Опубліковано: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2007
Назва видання:Физика низких температур
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Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/120938
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:A Monte Carlo study of the Falicov–Kimball model in the perturbative regime / G. Musiał, L. Dębski, J. Wojtkiewicz // Физика низких температур. — 2007. — Т. 33, № 9. — С. 1045–1048. — Бібліогр.: 8 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-1209382017-06-14T03:07:15Z A Monte Carlo study of the Falicov–Kimball model in the perturbative regime Musiał, G. Dębski, L. Wojtkiewicz, J. International Conference "Statistical Physics 2006. Condensed Matter: Theory and Application" Finite-temperature properties of the Falicov–Kimball model on the square lattice have been studied in the perturbative regime, i.e. for t/U << 1, where t is the hopping constant and U denotes the Coulomb interaction strength. In our study, we have determined the phase diagram of the model in the second-order of the perturbation theory, where the antiferromagnetic Ising model in the magnetic field emerges. In the fourth-order, where our model constitutes the Ising model with more complicated frustrated antiferromagnetic interactions, the sketch of the phase diagram was established. The Monte Carlo method was employed and the behavior of Binder cumulants based on the order parameters was analyzed to determine the type of ordering and phase boundaries in the diagram. 2007 Article A Monte Carlo study of the Falicov–Kimball model in the perturbative regime / G. Musiał, L. Dębski, J. Wojtkiewicz // Физика низких температур. — 2007. — Т. 33, № 9. — С. 1045–1048. — Бібліогр.: 8 назв. — англ. 0132-6414 PACS: 71.10.Hf, 75.10.Hk, 75.30.Kz, 75.40.Mg http://dspace.nbuv.gov.ua/handle/123456789/120938 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 International Conference "Statistical Physics 2006. Condensed Matter: Theory and Application"
International Conference "Statistical Physics 2006. Condensed Matter: Theory and Application"
spellingShingle International Conference "Statistical Physics 2006. Condensed Matter: Theory and Application"
International Conference "Statistical Physics 2006. Condensed Matter: Theory and Application"
Musiał, G.
Dębski, L.
Wojtkiewicz, J.
A Monte Carlo study of the Falicov–Kimball model in the perturbative regime
Физика низких температур
description Finite-temperature properties of the Falicov–Kimball model on the square lattice have been studied in the perturbative regime, i.e. for t/U << 1, where t is the hopping constant and U denotes the Coulomb interaction strength. In our study, we have determined the phase diagram of the model in the second-order of the perturbation theory, where the antiferromagnetic Ising model in the magnetic field emerges. In the fourth-order, where our model constitutes the Ising model with more complicated frustrated antiferromagnetic interactions, the sketch of the phase diagram was established. The Monte Carlo method was employed and the behavior of Binder cumulants based on the order parameters was analyzed to determine the type of ordering and phase boundaries in the diagram.
format Article
author Musiał, G.
Dębski, L.
Wojtkiewicz, J.
author_facet Musiał, G.
Dębski, L.
Wojtkiewicz, J.
author_sort Musiał, G.
title A Monte Carlo study of the Falicov–Kimball model in the perturbative regime
title_short A Monte Carlo study of the Falicov–Kimball model in the perturbative regime
title_full A Monte Carlo study of the Falicov–Kimball model in the perturbative regime
title_fullStr A Monte Carlo study of the Falicov–Kimball model in the perturbative regime
title_full_unstemmed A Monte Carlo study of the Falicov–Kimball model in the perturbative regime
title_sort monte carlo study of the falicov–kimball model in the perturbative regime
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
publishDate 2007
topic_facet International Conference "Statistical Physics 2006. Condensed Matter: Theory and Application"
url http://dspace.nbuv.gov.ua/handle/123456789/120938
citation_txt A Monte Carlo study of the Falicov–Kimball model in the perturbative regime / G. Musiał, L. Dębski, J. Wojtkiewicz // Физика низких температур. — 2007. — Т. 33, № 9. — С. 1045–1048. — Бібліогр.: 8 назв. — англ.
series Физика низких температур
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AT debskil montecarlostudyofthefalicovkimballmodelintheperturbativeregime
AT wojtkiewiczj montecarlostudyofthefalicovkimballmodelintheperturbativeregime
first_indexed 2023-10-18T20:38:27Z
last_indexed 2023-10-18T20:38:27Z
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