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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| Datum: | 2007 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2007
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| Schriftenreihe: | Физика низких температур |
| Schlagworte: | |
| Online Zugang: | 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 |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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. |
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