Regensburg 2025 – scientific programme
Parts | Days | Selection | Search | Updates | Downloads | Help
TT: Fachverband Tiefe Temperaturen
TT 17: Correlated Electrons: Method Development
TT 17.10: Talk
Tuesday, March 18, 2025, 12:00–12:15, H33
Dual Fermion Approach to the Falicov-Kimball Model: a benchmarking of methods — •Akshat Mishra1, Hugo U. R. Strand2, and Erik G. C. P. van Loon1 — 1NanoLund and Division of Mathematical Physics, Department of Physics, Lund University, Lund, Sweden — 2School of Science and Technology, Örebro University, SE-701 82 Örebro, Sweden
The Falicov-Kimball model is often said to be the simplest lattice model for electronic correlations. It consists of mobile electrons and immobile impurities and the competition between the kinetic and interaction energy governs the physics. As a function of interaction strength and doping, the model shows uniform metallic and insulating phases as well as charge-density waves. A numerically exact solution of the Falicov-Kimball model is possible using classical Monte Carlo. In this work, we use this as a benchmark for two approximate many-body methods, Dynamical Mean-Field Theory (DMFT) and Dual Fermion (DF). We explore the thermodynamic properties, the electronic structure and the momentum-dependent susceptibility.
Keywords: Correlated Electrons; Dual Fermion; Dynamical Mean Field Theory; Charge Density Waves