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

• Authors: L. Dębski
• Languages of publication: 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

EN

71.10.Hf; 75.10.Hk; 75.30.Kz; 75.40.Mg

Discipline

• 75.40.Mg: Numerical simulation studies
• 75.10.Hk: Classical spin models
• 75.30.Kz: Magnetic phase boundaries (including classical and quantum magnetic transitions, metamagnetism, etc.)(for ferroelectric phase transitions, see 77.80.B-; for superconductivity phase diagrams, see 74.25.Dw)
• 71.10.Hf: Non-Fermi-liquid ground states, electron phase diagrams and phase transitions in model systems

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 115
• Issue: 1
• Pages: 156-158

Dates

published

2009-01

Contributors

author

L. Dębski

• Institute of Physics, Adam Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland

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)

Identifiers

DOI

10.12693/APhysPolA.115.156