Application of the Dual Fermion-Dynamical Cluster Approach to the 1D Falicov Kimball Model

ORAL

Abstract

The Falicov Kimball model is the simplest model for correlated electrons. It was introduced to study metal-insulator transitions. In one dimension, it is known to possess a charge density wave (CDW) instability at zero transition temperature ($T_c$). However, finite cluster methods like Dynamical Mean Field Theory (DMFT), Dynamical Cluster Approximation (DCA), Cellular Dynamical Mean Field Theory (CDMFT) , etc. show finite temperature CDW transition. In this paper, we study the model using the recently developed Dual Fermion-Dynamical Cluster approach that takes into account large length scale correlations through the auxiliary particles known as dual Fermions. We find that $T_c$ obtained from this method is lower than that obtained from the cluster methods. In particular, we study the scaling behavior of $T_c$ with the linear cluster size and also the scaling of other one-particle and two-particle quantities near the criticality.

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Authors

  • Sandeep Pathak

    • Louisiana State University

  • Zi Yang Meng

    • Louisiana State University
    • Center for Computation and Technology, Louisiana State University

  • Shuxiang Yang

    • Louisiana State University
    • Department of Physics and Astronomy, Louisiana State University
    • Department of Physics \& Astronomy, Louisiana State University

  • Mark Jarrell

    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA
    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803, USA
    • Louisiana State University
    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA
    • Louisiana State University (LSU)
    • Department of Physics and Astronomy, Louisiana State University
    • Department of Physics \& Astronomy, Louisiana State University

  • Juana Moreno

    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA
    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803, USA
    • Louisiana State University
    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA
    • Department of Physics and Astronomy, Louisiana State University
    • Department of Physics \& Astronomy, Louisiana State University