Fractionalized Superconductivity Mediated by Majorana Fermions in the Kitaev-Kondo Lattice
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910958225457152 |
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| author | Bunney, Matthew Seifert, Urban F. P. Rachel, Stephan Vojta, Matthias |
| author_facet | Bunney, Matthew Seifert, Urban F. P. Rachel, Stephan Vojta, Matthias |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07201 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fractionalized Superconductivity Mediated by Majorana Fermions in the Kitaev-Kondo Lattice Bunney, Matthew Seifert, Urban F. P. Rachel, Stephan Vojta, Matthias Strongly Correlated Electrons Superconductivity 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. |
| title | Fractionalized Superconductivity Mediated by Majorana Fermions in the Kitaev-Kondo Lattice |
| topic | Strongly Correlated Electrons Superconductivity |
| url | https://arxiv.org/abs/2411.07201 |