Calculations of Optical Properties using Dynamical Mean Field Theory

V. S. Oudovenko, Gunnar K. Pálsson, Gabriel Kotliar +1 more

E. Cappelluti, Sergio Ciuchi, S. Fratini

D. Vollhardt, Krzysztof Byczuk, Marcus Kollar

Abstract. The dynamical mean-field theory (DMFT) is a widely applicable approx-imation scheme for the investigation of correlated quantum many-particle systems on a lattice, e.g., electrons in solids and cold atoms in optical lattices. In particu-lar, the combination of the DMFT with conventional methods for the calculation of electronic band structures has led to a powerful numerical approach which allows one to explore the properties of correlated materials. In this introductory article we discuss the foundations of the DMFT, derive the underlying self-consistency equa-tions, and present several applications which have provided important insights into the properties of correlated matter.

Yoshio Kuramoto

Akihisa Koga, Philipp Werner

We study dynamical properties of ultracold fermions with attractive interactions by means of dynamical mean-field theory and a continuous-time quantum Monte Carlo method. By calculating the pair potential and the density of states, we discuss the stability of the superfluid state. We also show that when holes are doped into the fermionic optical lattice system with intermediate interaction strength, the quasi-particle peak smears and a gap structure instead appears in the dilute system.

I. Popescu, Eliade N. Stefanescu, Paul E. Sterian