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2009 | 115 | 1 | 156-158
Article title

2D Falicov-Kimball Model in the Perturbative Regime at Finite Temperatures

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EN
Abstracts
EN
Finite-temperature properties of the Falicov-Kimball model in two approximations were studied in the perturbative regime, i.e. for t/U ≪ 1, where t=1 is the hopping constant and U=10 denotes the Coulomb interaction strength. In our study, we determined the phase diagram of the model in the second order of the perturbation theory, where it reduces to the antiferromagnetic Ising model in the emergent magnetic field. In the fourth order, where our model constitutes the Ising model with more complicated frustrated antiferromagnetic interactions, the phase diagram was established. The Monte Carlo method was employed to investigate the phase transition lines. The existence of stripe ordering at finite temperatures is proved.
Keywords
Year
Volume
115
Issue
1
Pages
156-158
Physical description
Dates
published
2009-01
References
  • 1. L.M. Falicov, J.C. Kimball, Phys. Rev. Lett. 22, 997 (1969)
  • 2. J. Freericks, V. Zlatić, Rev. Mod. Phys. 75, 1333 (2003)
  • 3. J.K. Freericks, E.H. Lieb, D. Ueltschi, Commun. Math. Phys. 227, 243 (2002)
  • 4. N. Datta, R. Fernandez, J. Fröhlich, J. Statist. Phys. 96, 545 (1999)
  • 5. R. Lemański, J. Wojtkiewicz, Phys. Status Solidi B 236, 408 (2003)
  • 6. G. Musiał, Phys. Rev. B 69, 024407 (2004)
  • 7. J. Wojtkiewicz, J. Statist. Phys. 112, 1049 (2003)
Document Type
Publication order reference
YADDA identifier
bwmeta1.element.bwnjournal-article-appv115n1039kz
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