Instabilities of the Fractionalized Dirac Semimetal in the Kitaev-Kondo Model

Fuente: arXiv
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Auteurs principaux: Lin, Jennifer, Krüger, Frank
Format: Preprint
Publié: 2026
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author Lin, Jennifer
Krüger, Frank
author_facet Lin, Jennifer
Krüger, Frank
contents We study a honeycomb Kondo lattice model in which Dirac conduction electrons are coupled to a spin-1/2 Kitaev quantum spin liquid. For weak Kondo coupling, the spins fractionalize into Majorana fermions comprising a gapless Dirac mode and three gapped visons. In second order perturbation theory, the Kondo coupling gives rise to local Hubbard repulsions and spin-spin interactions between conduction electrons, as well as a vertex coupling electrons to gapless Majorana fermions. We analyze the resulting low-energy field theory using a perturbative renormalization group (RG) scheme, accounting for additional density-density interactions generated under RG. At criticality, electrons decouple from Majorana fermions but all three electron interactions acquire positive values. An analysis of susceptibility exponents reveals that the fractionalized Fermi liquid becomes unstable towards antiferromagnetic order and that superconductivity is disfavored.
format Preprint
id arxiv_https___arxiv_org_abs_2601_02110
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Instabilities of the Fractionalized Dirac Semimetal in the Kitaev-Kondo Model
Lin, Jennifer
Krüger, Frank
Strongly Correlated Electrons
We study a honeycomb Kondo lattice model in which Dirac conduction electrons are coupled to a spin-1/2 Kitaev quantum spin liquid. For weak Kondo coupling, the spins fractionalize into Majorana fermions comprising a gapless Dirac mode and three gapped visons. In second order perturbation theory, the Kondo coupling gives rise to local Hubbard repulsions and spin-spin interactions between conduction electrons, as well as a vertex coupling electrons to gapless Majorana fermions. We analyze the resulting low-energy field theory using a perturbative renormalization group (RG) scheme, accounting for additional density-density interactions generated under RG. At criticality, electrons decouple from Majorana fermions but all three electron interactions acquire positive values. An analysis of susceptibility exponents reveals that the fractionalized Fermi liquid becomes unstable towards antiferromagnetic order and that superconductivity is disfavored.
title Instabilities of the Fractionalized Dirac Semimetal in the Kitaev-Kondo Model
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2601.02110