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Fractionalized Superconductivity Mediated by Majorana Fermions in the Kitaev-Kondo Lattice

Matthew Bunney, Urban F. P. Seifert, Stephan Rachel, Matthias Vojta

DOI 10.1103/PhysRevLett.134.206602 · Physical Review Letters

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Abstract

Superconductivity usually emerges from a metallic normal state which follows the Fermi-liquid paradigm. If, in contrast, the normal state is a fractionalized non-Fermi liquid, then pairing may either eliminate fractionalization via a Higgs-type mechanism leading to a conventional superconducting state, or pairing can occur in the presence of fractionalization. Here, we discuss a simple model for the latter case: using a combination of perturbation theory and functional renormalization group, we show that the Kitaev-Kondo lattice model displays a fractionalized superconducting phase at weak Kondo coupling. This phase is characterized by Cooper pairing of conventional electronic quasiparticles, coexisting with a spin-liquid background and topological order. Depending on the sign of the Kitaev coupling, we find the pairing to be either of chiral d-wave or p-wave type for extended doping regions around the van Hove filling. We discuss applications and extensions.

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