Fractionalized Fermi liquids and exotic superconductivity in the Kitaev-Kondo lattice

Abstract

Fractionalized Fermi liquids (FL${}^{\ast }$) have been introduced as non-Fermi-liquid metallic phases, characterized by coexisting electron-like charge carriers and local moments which itself form a fractionalized spin liquid. Here we investigate a Kondo lattice model on the honeycomb lattice with compass interactions among the local moments, a concrete model hosting FL${}^{\ast }$ phases based on Kitaev's ${\mathbb{Z}}_2$ spin liquid. We characterize the FL${}^{\ast }$ phases via perturbation theory, and we employ a Majorana-fermion mean-field theory to map out the full phase diagram. Most remarkably we find triplet superconducting phases which mask the quantum phase transition between fractionalized and conventional Fermi liquid phases. Their pairing structure is inherited from the Kitaev spin liquid, i.e., superconductivity is driven by Majorana glue.

18 pages, 13 figures, (v3) as published

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Cited by in corpus (34)

• Hunting Majorana Fermions in Kitaev Magnets
• Frustration and quantum criticality
• Electronic properties of α-RuCl3 in proximity to graphene
• Tunneling spectroscopy of quantum spin liquids
• The range of non-Kitaev terms and fractional particles in RuCl${}_3$
• Anomalous Quantum Oscillations in a Heterostructure of Graphene on a Proximate Quantum Spin Liquid
• Topological superconductivity in Kondo-Kitaev model
• A solvable 3D Kondo lattice exhibiting odd-frequency pairing and order fractionalization
• Order Fractionalization in a Kitaev-Kondo model
• Bilayer Kitaev models: Phase diagrams and novel phases
• Direct visualization of the charge transfer in Graphene/$\alpha$-RuCl${}_3$ heterostructure
• Odd-frequency pair density wave in the Kitaev-Kondo lattice model
• Soluble limit and criticality of fermions in Z2 gauge theories
• Quadrupolar spin liquid, octupolar Kondo coupling and odd-frequency superconductivity in an exactly solvable model
• Tunneling spectroscopic signatures of charge doping and associated Mott transition in $\alpha$-RuCl${}_3$ in proximity to graphite
• Topological $Z_2$ invariant in Kitaev spin liquids: Classification of gapped spin liquids beyond projective symmetry group
• Flat and Correlated Plasmon Bands in Graphene/$\alpha$-RuCl${}_3$ Heterostructures
• A microscopic Kondo lattice model for the heavy fermion antiferromagnet CeIn${}_3$
• Dynamics of fractionalized mean-field theories: consequences for Kitaev materials
• Topological superconductivity induced by a Kitaev spin liquid
• Competition between Kondo and Kitaev Physics in Kitaev clusters coupled to a fermionic bath
• 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
• Fractional Fermi liquid in a generalized $t-J$ model
• Lieb-Schultz-Mattis constraints for the insulating phases of the one-dimensional SU($N$) Kondo lattice model
• Two-band model and RVB-type states: application to Kondo lattices, pyrochlores and Mn-based systems
• Possible Realization of Kitaev Spin Liquids in van der Waals Heterostructures of $\alpha$-RuCl${}_3$ and Cr$X_3$ ($X$=Cl and I)
• Fractionalized Superconductivity Mediated by Majorana Fermions in the Kitaev-Kondo Lattice
• Electric polarization near vortices in the extended Kitaev model
• Topology-driven deconfined quantum criticality in magnetic bilayers
• Spin nematic order and superconductivity in $J_1$-$J_2$ Kondo lattice model on square lattice
• Emergence of topological defects and spin liquid in a two-orbital spin-fermion model on the honeycomb lattice