Next-Nearest-Neighbor Hopping in the Falicov-Kimball Model

• Authors: K Czajka , M Maśka
• Languages of publication: EN

Abstracts

EN

Results of Monte Carlo simulations for the spinless Falicov-Kimball model with the next-nearest-neighbor hopping are presented. We find the critical value of the next-nearest-neighbor hopping integral, below which the low temperature configuration of the localized particles is the same as in the presence of only the nearest-neighbor hopping. Beyond this critical value the localized particles form horizontal or vertical stripes.

Keywords

EN

71.10.-w; 71.10.Fd

Discipline

• 71.10.-w: Theories and models of many-electron systems
• 71.10.Fd: Lattice fermion models (Hubbard model, etc.)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2006
• Volume: 109
• Issue: 4-5
• Pages: 465-469

Dates

published

2006-04

received

2005-09-25

Contributors

author

K Czajka

• Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland

author

M Maśka

• Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland

References

• 1. L.M. Falicov, J.C. Kimball, Phys. Rev. Lett., 22, 997, 1969
• 2. J.K. Freericks, Phys. Rev. B, 47, 9263, 1993; , 48, 14797, 1993
• 3. T. Kennedy, E.H. Lieb, Physica A, 138, 320, 1986
• 4. E.H. Lieb, Physica A, 140, 240, 1986
• 5. K. Czajka, M.M. Maśka, Physica B, in press
• 6. G.H. Wannier, Phys. Rev., 79, 357, 1950
• 7. See e.g., J.K. Freericks, V. Zlatić, Rev. Mod. Phys., 75, 1333, 2003
• 8. J. Wojtkiewicz, cond-mat/0310043
• 9. M.M. Maśka, K. Czajka, Phys. Status Solidi B, 242, 479, 2005; M.M. Maśka, K. Czajka, Physica B, 359, 693, 2005
• 10. D.P. Landau, Phys. Rev. B, 21, 1285, 1980
• 11. D.P. Landau, K. Binder, Phys. Rev. B, 31, 5946, 1985

Identifiers

DOI

10.12693/APhysPolA.109.465