The Hubbard Model at Infinite Dimensions: Thermodynamic and Transport Properties

TL;DR

This paper investigates the thermodynamic, resistive, and optical properties of the Hubbard model in infinite dimensions, revealing similarities to heavy fermion systems and validating an approximate solution against quantum Monte Carlo results.

Contribution

It provides new insights into the Hubbard model's properties in infinite dimensions using an approximate method validated by quantum Monte Carlo comparisons.

Findings

Results align with intuitive spectra analysis

Demonstrates similarity to heavy fermion physics

Validates approximation with quantum Monte Carlo

Abstract

We present results on thermodynamic quantities, resistivity and optical conductivity for the Hubbard model on a simple hypercubic lattice in infinite dimensions. Our results for the paramagnetic phase display the features expected from an intuitive analysis of the one-particle spectra and substantiate the similarity of the physics of the Hubbard model to those of heavy fermion systems. The calculations were performed using an approximate solution to the single-impurity Anderson model, which is the key quantity entering the solution of the Hubbard model in this limit. To establish the quality of this approximation we compare its results, together with those obtained from two other widely used methods, to essentially exact quantum Monte Carlo results.