Transport properties of correlated electrons in high dimensions

TL;DR

This paper introduces a new algorithm to construct lattice Hamiltonians in infinite dimensions tailored to specific density of states, facilitating accurate transport property calculations within DMFT.

Contribution

The authors develop a general algorithm for creating regular lattice Hamiltonians matching arbitrary DOS shapes in infinite dimensions, aiding DMFT studies.

Findings

Algorithm successfully generates Hamiltonians for various DOS shapes.

Optical conductivity calculations are consistent with sum rules.

Numerical results demonstrate the method's effectiveness.

Abstract

We develop a new general algorithm for finding a regular tight-binding lattice Hamiltonian in infinite dimensions for an arbitrary given shape of the density of states (DOS). The availability of such an algorithm is essential for the investigation of broken-symmetry phases of interacting electron systems and for the computation of transport properties within the dynamical mean-field theory (DMFT). The algorithm enables us to calculate the optical conductivity fully consistently on a regular lattice, e.g., for the semi-elliptical (Bethe) DOS. We discuss the relevant f-sum rule and present numerical results obtained using quantum Monte Carlo techniques.