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

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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Published in:Физика низких температур
Date:2007
Main Authors: Musiał, G., Dębski, L., Wojtkiewicz, J.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2007
Subjects:
International Conference "Statistical Physics 2006. Condensed Matter: Theory and Application"
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/120938
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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
id nasplib_isofts_kiev_ua-123456789-120938
record_format dspace
spelling Musiał, G.
Dębski, L.
Wojtkiewicz, J.
2017-06-13T10:43:25Z
2017-06-13T10:43:25Z
2007
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
https://nasplib.isofts.kiev.ua/handle/123456789/120938
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.
The authors wish to thank Professor R. Lemañski for valuable discussions, the Poznañ Supercomputing and Networking Center for the access to the supercomputers, and the State Committee for Scientific Research for partial financial support within the grants 4 T11F 014 24 (GM) and MERG-CT-2004 No 6348 (LD).
en
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
Физика низких температур
International Conference "Statistical Physics 2006. Condensed Matter: Theory and Application"
A Monte Carlo study of the Falicov–Kimball model in the perturbative regime
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title A Monte Carlo study of the Falicov–Kimball model in the perturbative regime
spellingShingle 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"
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
author Musiał, G.
Dębski, L.
Wojtkiewicz, J.
author_facet Musiał, G.
Dębski, L.
Wojtkiewicz, J.
topic International Conference "Statistical Physics 2006. Condensed Matter: Theory and Application"
topic_facet International Conference "Statistical Physics 2006. Condensed Matter: Theory and Application"
publishDate 2007
language English
container_title Физика низких температур
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
format Article
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.
issn 0132-6414
url https://nasplib.isofts.kiev.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.
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AT musiałg montecarlostudyofthefalicovkimballmodelintheperturbativeregime
AT debskil montecarlostudyofthefalicovkimballmodelintheperturbativeregime
AT wojtkiewiczj montecarlostudyofthefalicovkimballmodelintheperturbativeregime
first_indexed 2025-12-02T06:16:20Z
last_indexed 2025-12-02T06:16:20Z
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