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

K. Czajka and M.M. Maśka Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland

Full Text PDF

Received: 25 09 2005;

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.

DOI: 10.12693/APhysPolA.109.465 PACS numbers: 71.10.-w, 71.10.Fd