Dresden 2014 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 79: Correlated Electrons - Poster Session

TT 79.29: Poster

Mittwoch, 2. April 2014, 15:00–19:00, P2

Charge order and frustration in two-dimensional Falicov-Kimball models — •younes javanmard, andrey antipov, pedro ribeiro, and stefan kirchner — Max Planck Institute for Physics of Complex Systems, Nöthnitzer Str 38, 01187 Dresden, Germany

The Falicov-Kimball model is frequently employed in a number of contexts ranging from the melting of charge order to the metal-insulator transition. Its popularity is in part due to its solvability in the limit of infinite coordination number, i.e. within the Dynamical Mean Field Theory (DMFT).

At sufficiently large interaction strength the Falicov-Kimball model can be mapped to an Ising model on the same lattice. On the square lattice at half-filling, the DMFT fails to capture the interacting nature of the charge-ordering transition and predicts a continuous transition of mean-field character for all coupling strengths. In contrast, a recent study suggest the transition of the two-dimensional square lattice to be of first order at small interaction strength [1].

We set up a Monte Carlo algorithm for the two-and three-dimensional Falicov-Kimball model and study the nature of the transition in the half-filled Falicov-Kimball model on the square lattice and extend the study to lattice types allowing for geometrical frustration, like the triangular lattice [2].
M.M. Maska, K. Czajka, Phys. Rev. B 74 (2006) 035109
M. Zonda, P. Farkasovsky, H. Cecarikova, Sol. State Comm. 149 (2009).