Asymptotical solution of infinite-dimensional Hubbard model

TL;DR

This paper provides an asymptotically exact solution for the infinite-dimensional Hubbard model at a specific interaction strength, linking it to well-known impurity models in the strong-coupling regime.

Contribution

It introduces a novel asymptotic solution for the $ abla$ Hubbard model at a special interaction strength, connecting it to the Toulouse limit of impurity models.

Findings

Exact solution at strong-coupling fixed point

Connection to Toulouse limit of Kondo and Anderson models

Insights into Fermi-liquid behavior in infinite dimensions

Abstract

We present an asymptotically exact solution of the $\infty-d$ Hubbard model at a special interaction strength $U_T$ corresponding to the strong-coupling Fermi-liquid fixed point. This solution is intimately related to the Toulouse limit of the single-impurity Kondo model and the symmetric Anderson model in its strong-coupling limit.