4.7 Article

Kondo effect with Wilson fermions

期刊

PHYSICAL REVIEW D
卷 104, 期 9, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.104.094515

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资金

  1. Japan Society for the Promotion of Science (JSPS) KAKENHI [JP17K14277, JP20K14476]
  2. RIKEN Junior Research Associate Program

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The study demonstrates the appearance of the Kondo effect for massless Wilson fermions and a coexistence phase with both the light-fermion scalar condensate and Kondo condensate. For negative-mass Wilson fermions, the Kondo effect is favored near the parameter region realizing the Aoki phase.
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.

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