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...
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| Published in: | Физика низких температур |
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| Date: | 2007 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2007
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| 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| _version_ | 1862657189373542400 |
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| author | Musiał, G. Dębski, L. Wojtkiewicz, J. |
| author_facet | Musiał, G. Dębski, L. Wojtkiewicz, J. |
| 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. |
| collection | DSpace DC |
| container_title | 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.
|
| first_indexed | 2025-12-02T06:16:20Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-120938 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-12-02T06:16:20Z |
| publishDate | 2007 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| 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 |
| 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 | 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_short | 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 |
| topic | International Conference "Statistical Physics 2006. Condensed Matter: Theory and Application" |
| topic_facet | International Conference "Statistical Physics 2006. Condensed Matter: Theory and Application" |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/120938 |
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