Topological superconductivity in Kondo-Kitaev model

Abstract

We investigate possible topological superconductivity in the Kondo-Kitaev model on the honeycomb lattice, where the Kitaev spin liquid is coupled to conduction electrons via the Kondo coupling. We use the self-consistent Abrikosov-fermion mean-field theory to map out the phase diagram. Upon increasing the Kondo coupling, a first order transition occurs from the decoupled phase of spin liquid and conduction electrons to a ferromagnetic topological superconductor of Class D with a single chiral Majorana edge mode. This is followed by a second order transition into a paramagnetic topological superconductor of Class DIII with a single helical Majorana edge mode. These findings offer a novel route to topological superconductivity in the Kondo lattice system. We discuss the connection between topological nature of the Kitaev spin liquid and topological superconductors obtained in this model.

12 pages, 5 figures

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• Single-hole spectra of Kitaev spin liquids: from dynamical Nagaoka ferromagnetism to spin-hole fractionalization
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• Topological and magnetic phase transitions in the bilayer Kitaev-Ising model
• Breakdown of order-fractionalization in the CPT model
• Emergent Hyper-Magic Manifold in Twisted Kitaev Bilayers
• Microscopic theory of pair density waves in spin-orbit coupled Kondo lattice
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• Lieb-Schultz-Mattis constraints for the insulating phases of the one-dimensional SU($N$) Kondo lattice model
• Topological superconductivity in a spin-orbit coupled Kondo lattice
• Mott Gap Softening Coinciding with Spin Correlations Collapse in a-RuCl3
• Fractionalized Superconductivity Mediated by Majorana Fermions in the Kitaev-Kondo Lattice
• Even-odd effect in multilayer Kitaev honeycomb magnets
• Dynamical spin correlations in kagome antiferromagnets: comparison of Abrikosov fermion and Schwinger boson approaches beyond mean field
• Spin nematic order and superconductivity in $J_1$-$J_2$ Kondo lattice model on square lattice
• Topology-driven deconfined quantum criticality in magnetic bilayers