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

Discipline

• 71.10.Fd: Lattice fermion models (Hubbard model, etc.)
• 71.20.-b: Electron density of states and band structure of crystalline solids
• 71.45.Lr: Charge-density-wave systems(see also 75.30.Fv Spin-density waves)

• 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

Contributors

author

J. Krawczyk

• Institute of Low Temperature and Structure Research, Polish Academy of Sciences, 50-422 Wrocław, Poland

author

R. Lemański

• Institute of Low Temperature and Structure Research, Polish Academy of Sciences, 50-422 Wrocław, Poland

References

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• [5b] R. Lemański, K. Ziegler, Phys. Rev. B 89, 075104 (2014), doi: 10.1103/PhysRevB.89.075104

Identifiers

DOI

10.12693/APhysPolA.133.369