Peculiar Thermodynamic Properties of the Falicov-Kimball Model for small U Couplings

• Authors: J. Krawczyk , R. Lemański
• Languages of publication: EN

Abstracts

EN

We analyse a behaviour of the order parameter and specific heat of the Falicov-Kimball model (FKM) on the Bethe lattice using the Dynamical Mean Field Theory (DMFT) formalism, which provides the exact solution in the limit of large spatial dimensions. In the large U limit, the FKM maps onto the effective Ising model, with the order parameter of the Curie-Weiss form. However, in the small U limit the order parameter takes on unusual shape, with a sharp reduction near T ≈ T_{c}/2. We focus our investigation on a crossover between these two limits, thus we perform our calculations for a set of intermediate and small values of U. We find the overall behaviour of the order parameter and specific heat as a function of temperature to be quite anomalous.

Keywords

EN

71.10.Fd   71.20.-b   71.45.Lr  

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2018
• Volume: 133
• Issue: 3
• Pages: 369-371

Dates

published

2018-03

References

• [1] L.M. Falicov, J.C. Kimball, Phys. Rev. Lett. 22, 997 (1969), doi: 10.1103/PhysRevLett.22.997
• [2] P.G.J. van Dongen, Phys. Rev. B 45, 2267 (1992), doi: 10.1103/PhysRevB.45.2267
• [3] Ling Chen, J.K. Freericks, B.A. Jones, Phys. Rev. B 68, 153102 (2003), doi: 10.1103/PhysRevB.68.153102
• [4] M. Maśka, K. Czajka, phys. stat. sol.(b) 242, 479 (2005), doi: 10.1002/pssb.200460067
• [4a] M. Maśka, K. Czajka, Phys. Rev. B 74, 035109 (2006), doi: 10.1103/PhysRevB.74.035109
• [5] J.K. Freericks, Ch. Gruber, N. Macris, Phys. Rev. B 60, 1617 (1999), doi: 10.1103/PhysRevB.60.1617
• [5a] A. Shvaika, J.K. Freericks, Phys. Rev. B 67, 153103 (2003), doi: 10.1103/PhysRevB.67.153103
• [5b] R. Lemański, K. Ziegler, Phys. Rev. B 89, 075104 (2014), doi: 10.1103/PhysRevB.89.075104

Identifiers

DOI

10.12693/APhysPolA.133.369