Phase diagram and topological phases in the triangular lattice Kitaev-Hubbard model

Abstract

We study the half-filled Hubbard model on the triangular lattice with spin-dependent Kitaev-like hopping. Using the variational cluster approach, we identify five phases: a metallic phase, a non-coplanar chiral magnetic order, a $120^{\circ }$ magnetic order, a nonmagnetic insulator (NMI), and an interacting Chern insulator (CI) with a nonzero Chern number. The transition from CI to NMI is characterized by the change of the charge gap from an indirect band gap to a direct Mott gap. Based on the slave-rotor mean-field theory, the NMI phase is further suggested to be a gapless Mott insulator with a spinon Fermi surface or a fractionalized CI with nontrivial spinon topology, depending on the strength of Kitaev-like hopping. Our work highlights the rising field that interesting phases emerge from the interplay of band topology and Mott physics.

published version, references updated

References in corpus (24)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Scalar spin chirality and quantum Hall effect on a triangular lattice
• An exact chiral spin liquid with non-Abelian anyons
• Long range magnetic ordering in Na${}_2$IrO${}_3$
• Mott Transition from a Spin Liquid to a Fermi Liquid in the Spin-Frustrated Organic Conductor kappa-(ET)2Cu2(CN)3
• Variational cluster approach to correlated electron systems in low dimensions
• Simplified topological invariants for interacting insulators
• $\mu$SR evidence for the U(1) quantum spin liquid ground state in the triangular antiferromagnet YbMgGaO${}_4$
• An anisotropic spin model of strong spin-orbit-coupled triangular antiferromagnets
• Mott Physics and Topological Phase Transition in Correlated Dirac Fermions
• Non-coplanar and counter-rotating incommensurate magnetic order stabilized by Kitaev interactions in $\gamma$-Li2IrO3
• The Hubbard model on the triangular lattice: Spiral order and spin liquid
• Gapless quantum spin liquid, stripe and antiferromagnetic phases in frustrated Hubbard models in two dimensions
• Spin liquid behaviour in Jeff=1/2 triangular lattice Ba3IrTi2O9
• Self-consistent slave rotor mean field theory for strongly correlated systems
• Global phase diagram, possible chiral spin liquid and topological superconductivity in the triangular Kitaev-Heisenberg model
• Unconventional pairing and electronic dimerization instabilities in the doped Kitaev-Heisenberg model
• A stable Algebraic Spin Liquid in a Hubbard model
• Quantum paramagnet in a $\pi$ flux triangular lattice Hubbard model

Cited by in corpus (10)

• Spontaneous Valley Spirals in Magnetically Encapsulated Twisted Bilayer Graphene
• Ferromagnetism and spin excitations in topological Hubbard models with a flatband
• $\eta$-pairing in correlated fermion models with spin-orbit coupling
• Spin waves and stability of zigzag order in the Hubbard model with spin-dependent hopping terms - Application to the honeycomb lattice compounds $\mathrm{N}{\mathrm{a}}_2\mathrm{Ir}{\mathrm{O}}_3$ and $\alpha -\mathrm{RuC}{\mathrm{l}}_3$
• High Chern numbers and topological flat bands in high-field polarized Kitaev magnets on the star lattice
• Quantum cluster approach to the topological invariants in correlated Chern insulators
• Quasiparticle Properties under Interactions in Weyl and Nodal Line Semimetals
• Topological Fulde-Ferrell Superfluids in Triangular Lattices
• Multitude of phases in correlated lattice fermion systems with spin-dependent disorder
• Phase transitions of the Kane-Mele-Hubbard model with a long-range hopping