Dynamical Mean-Field Theory

TL;DR

Dynamical Mean-Field Theory (DMFT) is a versatile approximation method for studying correlated quantum many-particle systems on lattices, combining with electronic structure calculations to explore material properties.

Contribution

This paper introduces the foundations, derivation, and applications of DMFT, highlighting its role in understanding correlated materials.

Findings

DMFT provides a self-consistent framework for correlated systems.

Applications of DMFT have yielded significant insights into material properties.

DMFT effectively combines with band structure methods for practical calculations.

Abstract

The dynamical mean-field theory (DMFT) is a widely applicable approximation 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 particular, 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 equations, and present several applications which have provided important insights into the properties of correlated matter.