Miscellaneous results

Annotated list of publications

Falicov-Kimball model

• D. O. Demchenko, A. V. Joura, and J. K. Freericks, Effect of particle-hole asymmetry on the Mott-Hubbard metal-insulator transition Phys. Rev. Lett. 92, 216401--1-4 (2004).
• R. Lemanski, J.K. Freericks and G. Banach, Charge stripes due to electron correlations in the two-dimensional spinless Falicov-Kimball model, J. Stat. Phys. 116, 699--718 (2004).
• Ling Chen, B. A. Jones, and J. K. Freericks, Charge-density-wave order parameter of the Falicov-Kimball model in infinite dimensions, Phys. Rev. B 68, 153102--1-4 (2003).
• A. M. Shvaika and J. K. Freericks, Equivalence of the Falicov-Kimball and Brandt-Mielsch forms for the free energy of the infinite-dimensional Falicov-Kimball model, Phys. Rev. B 67, 153103--1-3 (2003).
• J. K. Freericks and V. Zlatic', Exact dynamical mean field theory of the Falicov-Kimball model, Rev. Mod. Phys. 75, 1333--1382 (2003).
• V. Zlatic' and J. K. Freericks, Describing the valence-change transition by the DMFT solution of the Falicov-Kimball model, (Proceedings of the NATO ARW on strongly correlated electrons, Hvar, Croatia) Nato Science series II: Mathematics Physics and Chemistry: Vol. 110 (Kluwer, Dordrecht, 2003), p. 287--296.
• V. Zlatic' and J. K. Freericks, DMFT solution of the Falicov-Kimball model with an internal structure, (Proceedings of the Strongly Correlated Electrons conference, Krakow, Poland) Acta Physica Polonica B 34, 931--944 (2003).

In these papers we have examined a number of different kinds of problems ranging from how the loss of particle-hole symmetry affects the nature of the metal-insulator transition in dynamical mean field theory to an examination of the anomalous behaviour of the charge-density-wave order parameter for weak coupling. We also have studied two different forms for the free energy, and the classical intermediate valence transition in materials like YbInCu₄. A comprehensive review article was also completed.

Superconductivity

• V. M. Loktev and V. Turkowski, On the theory of pseudogap anisotropy in the cuprate superconductors, Int. J. Mod. Phys. B 18, 2035 (2004).

Here the temperature dependence of the anisotropic order parameter in a high temperature superconductor is examined.