Conserving many body approach to the fully screened, infinite U Anderson model

TL;DR

This paper develops a conserving many-body approach to the fully screened infinite U Anderson model, capturing the crossover to Fermi liquid behavior and providing insights into thermodynamics, resistivity, and dephasing.

Contribution

It introduces a novel Luttinger Ward scheme for interacting gauge particles applied to the Anderson model, enabling detailed analysis of its thermodynamic and transport properties.

Findings

Smooth crossover into Fermi liquid state

Finite zero-temperature scattering phase shift

Wilson ratio greater than one

Abstract

Using a Luttinger Ward scheme for interacting gauge particles, we present a conserving many body treatment of a family of fully screened infinite U Anderson models that has a smooth cross-over into the Fermi liquid state, with a finite scattering phase shift at zero temperature and a Wilson ratio greater than one. We illustrate our method, computing the temperature dependence of the thermodynamics, resistivity and electron dephasing rate and discuss its future application to non-equilibrium quantum dots and quantum critical mixed valent systems.