Strong correlation effects in the doped Hubbard model in infinite dimensions

TL;DR

This paper investigates the doped Hubbard model in infinite dimensions, revealing that strong correlation effects like gap states and midinfrared bands are present, similar to two-dimensional systems, using an analytic Lanczos method.

Contribution

It demonstrates that key correlation phenomena observed in two dimensions also occur in infinite dimensions, providing insights into the Hubbard model's behavior across different lattice structures.

Findings

Presence of gap states in doped Hubbard model

Midinfrared band appears in spectral data

Chemical potential shifts with doping

Abstract

The density of states and the optical conductivity of the doped Hubbard model on a Bethe lattice with infinite connectivities have been studied using an analytic variant of the Lanczos continued fraction method. The spectral weight of the gap states and the position of the chemical potential upon hole or electron doping have been studied. We argue that the strong correlation effects such as gap states and midinfrared band shown in two dimensions also appear in infinite dimensions.