Kondo effect with Wilson fermions

TL;DR

This paper explores the Kondo effect in systems with Wilson fermions using a mean-field approach, revealing coexistence phases and shifts in critical chemical potentials, with implications for condensed matter and lattice physics.

Contribution

It introduces a mean-field analysis of the Kondo effect with Wilson fermions, highlighting coexistence phases and effects on critical parameters, which is a novel application in this context.

Findings

Kondo effect appears with massless Wilson fermions.

Coexistence of scalar and Kondo condensates observed.

Kondo effect is favored near the Aoki phase for negative-mass Wilson fermions.

Abstract

We investigate the Kondo effect with Wilson fermions. This is based on a mean-field approach for the chiral Gross-Neveu model including four-point interactions between a light Wilson fermion and a heavy fermion. For massless Wilson fermions, we demonstrate the appearance of the Kondo effect. We point out that there is a coexistence phase with both the light-fermion scalar condensate and Kondo condensate, and the critical chemical potentials of the scalar condensate are shifted by the Kondo effect. For negative-mass Wilson fermions, we find that the Kondo effect is favored near the parameter region realizing the Aoki phase. Our findings will be useful for understanding the roles of heavy impurities in Dirac semimetals, topological insulators, and lattice simulations.