English

Kondo effect with Wilson fermions

High Energy Physics - Lattice 2021-12-30 v2 Mesoscale and Nanoscale Physics Strongly Correlated Electrons High Energy Physics - Phenomenology

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.

Keywords

Cite

@article{arxiv.2107.07270,
  title  = {Kondo effect with Wilson fermions},
  author = {Tsutomu Ishikawa and Katsumasa Nakayama and Kei Suzuki},
  journal= {arXiv preprint arXiv:2107.07270},
  year   = {2021}
}

Comments

11 pages, 8 figures; published version

R2 v1 2026-06-24T04:13:34.772Z