Charge-density-wave order parameter of the Falicov-Kimball model in infinite dimensions

Details Charge-density-wave order parameter of the Falicov-Kimball model in infinite dimensions Charge-density-wave order parameter of the Falicov-Kimball model in infinite dimensions

2003-06-16

arxiv.org/abs/cond-mat/0306412v1

Phys. Rev. B 68, 153102--1-4 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

(5 pages, 3 figures, typeset with ReVTeX4)

Scientific paper

10.1103/PhysRevB.68.153102

In the large-U limit, the Falicov-Kimball model maps onto an effective Ising model, with an order parameter described by a BCS-like mean-field theory in infinite dimensions. In the small-U limit, van Dongen and Vollhardt showed that the order parameter assumes a strange non-BCS-like shape with a sharp reduction near T approx T_c/2. Here we numerically investigate the crossover between these two regimes and qualitatively determine the order parameter for a variety of different values of U. We find the overall behavior of the order parameter as a function of temperature to be quite anomalous.

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