Premium
Pattern formation in the Falicov–Kimball model
Author(s) -
Maśka Maciej M.,
Czajka Katarzyna
Publication year - 2005
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200460067
Subject(s) - monte carlo method , statistical physics , checkerboard , range (aeronautics) , ground state , physics , condensed matter physics , materials science , mathematics , quantum mechanics , statistics , geometry , composite material
It is known that in the ground state of half‐filled Falicov–Kimball model immobile particles form a checkerboard pattern. On the other hand, there is a wide range of model parameters, for which this model is expected to exhibit a phase separation. Using Monte Carlo simulations we demonstrate how the system reaches these states, as the temperature is lowered. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)