Dynamical Mean Field Theory with the Density Matrix Renormalization Group

TL;DR

This paper introduces a novel numerical method combining Dynamical Mean Field Theory with the Density Matrix Renormalization Group to accurately solve impurity problems without prior approximations, enabling analysis of more complex models.

Contribution

The paper presents a new algorithm that integrates DMRG into DMFT, allowing for precise solutions of impurity problems with minimal finite-size effects and no a priori approximations.

Findings

Accurate estimates of metal-insulator transition points

Evidence of substructure in Hubbard bands

Enhanced capability to analyze complex models

Abstract

A new numerical method for the solution of the Dynamical Mean Field Theory's self-consistent equations is introduced. The method uses the Density Matrix Renormalization Group technique to solve the associated impurity problem. The new algorithm makes no a priori approximations and is only limited by the number of sites that can be considered. We obtain accurate estimates of the critical values of the metal-insulator transitions and provide evidence of substructure in the Hubbard bands of the correlated metal. With this algorithm, more complex models having a larger number of degrees of freedom can be considered and finite-size effects can be minimized.