Spectral Properties and Bandstructure of Correlated Electron Systems

TL;DR

This paper investigates the spectral properties and bandstructure of the 2D Hubbard model using dynamical molecular field theory, comparing results with quantum Monte Carlo simulations to validate the method's applicability to correlated electron systems.

Contribution

It demonstrates that DMFT provides reliable spectral functions for the 2D Hubbard model, supported by comparison with QMC results.

Findings

DMFT yields accurate one-particle spectra for the 2D Hubbard model.

Good agreement between DMFT and QMC results supports DMFT's applicability.

The study extends the validation of DMFT to two-dimensional correlated systems.

Abstract

We present $\vec{k}$-dependent one-particle spectra and corresponding effective bandstructures for the $2d$ Hubbard model calculated within the dynamical molecular field theory (DMFT). This method has proven to yield highly nontrivial results for a variety of quantities but the question remains open to what extent it is applicable to relevant physical situations. To address this problem we compare our results for spectral functions to those obtained by QMC simulations. The good agreement supports our notion that the DMFT is indeed a sensible ansatz for correlated models even in to $d=2$.