Mott Physics on Helical Edges of 2D Topological Insulators

Abstract

We study roles of electron correlations on topological insulators on the honeycomb lattice with the spin-orbit interaction. Accurate variational Monte Carlo calculations show that the increasing on-site Coulomb interactions cause a strong suppression of the charge Drude weight in the helical-edge metallic states leading to a presumable Mott transition from a conventional topological insulator to an edge Mott insulator before a transition to a bulk antiferromagnetic insulator. The intermediate bulk-topological and edge-Mott-insulator phase has a helical spin-liquid character with the protected time-reversal symmetry.

4 pages, 4 figures

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Cited by in corpus (64)

• Topological Insulator Materials
• Interacting topological insulators: a review
• Non-Hermitian perspective of the band structure in heavy-fermion systems
• Correlation effects in two-dimensional topological insulators
• Quantum phase transitions in the Kane-Mele-Hubbard model
• Quantum Spin Hall Insulators with Interactions and Lattice Anisotropy
• Competing Exotic Topological Insulator Phases in Transition Metal Oxides on the Pyrochlore Lattice with Distortion
• Topological Order and Semions in a Strongly Correlated Quantum Spin Hall Insulator
• Characterization of a topological Mott insulator in one dimension
• mVMC - Open-source software for many-variable variational Monte Carlo method
• Rashba spin orbit coupling in the Kane-Mele-Hubbard model
• Correlation effects on a topological insulator at finite temperatures
• A study on correlation effects in two dimensional topological insulators
• Topological phase in one-dimensional interacting fermion system
• Chiral-symmetry protected exceptional torus in correlated nodal-line semi-metals
• Topological antiferromagnetic phase in a correlated Bernevig-Hughes-Zhang model
• Breakdown of topological Thouless pumping in the strongly interacting regime
• Phase Diagram of the Kane-Mele-Hubbard model
• Exceptional band touching for strongly correlated systems in equilibrium
• Kondo lattice on the edge of a two-dimensional topological insulator
• The characterization of topological properties in Quantum Monte Carlo simulations of the Kane-Mele-Hubbard model
• Interaction effect in two-dimensional Dirac fermions
• Interplay of local order and topology in the extended Haldane-Hubbard model
• Weyl Semimetal in the Strong Coulomb Interaction Limit
• Topological Insulators and Quantum Spin Liquids
• Luttinger Liquid Physics and Spin-Flip Scattering on Helical Edges
• Antiferromagnetic topological insulator state in the correlated Bernevig-Hughes-Zhang model
• Doping the Kane-Mele-Hubbard model: A Slave-Boson Approach
• Phase diagram of the strongly correlated Kane-Mele-Hubbard model
• Cellular dynamical mean-field theory study of an interacting topological honeycomb lattice model at finite temperature
• Stability of Multinode Dirac Semimetals against Strong Long-Range Correlations
• Interplay of interactions, disorder and topology in the Haldane-Hubbard model
• Axionic Antiferromagnetic Insulator Phase in a Correlated and Spin-Orbit Coupled System
• Electron Correlation Induced Spontaneous Symmetry Breaking and Weyl Semimetal Phase in a Strongly Spin-Orbit Coupled System
• Finite-Temperature Variational Monte Carlo Method for Strongly Correlated Electron Systems
• Topological edge Mott insulating state in two dimensions at finite temperatures -bulk and edge analysis-
• Higher-Order Topological Mott Insulator on the Pyrochlore Lattice
• Anisotropic Quantum Spin Hall Effect, Spin-Orbital Textures and Mott Transition
• Topological phase in a two-dimensional metallic heavy-fermion system
• Rashba coupling and magnetic order in correlated helical liquids
• Analytical approach for the Mott transition in the Kane-Mele-Hubbard model
• Strong Coupling Expansion in a Correlated Three-Dimensional Topological Insulator
• Magnetic phases and unusual topological electronic structures of Weyl semimetals in strong interaction limit
• Impact of strong correlations on a band topological insulator on the Lieb lattice
• Synchronous and Asynchronous Mott Transitions in Topological Insulator Ribbons
• Hard-core bosons in one-dimensional interacting topological bands
• Bifurcation of the Edge-State Width in the Two-Dimensional Topological Insulator
• Proximity effects in a topological-insulator/Mott-insulator heterostructure
• Temperature-driven gapless topological insulator
• Quantum phase transitions of topological insulators without gap closing
• Photoinduced anomalous Hall effect in the interacting Haldane model: targeting topological states with pump pulses
• Coulomb drag in topological insulator films
• Spatially anisotropic kagome antiferromagnet with Dzyaloshinskii-Moriya interaction
• Edge superconducting state in attractive U Kane-Mele-Hubbard model
• Spin Hall conductivity in the Kane-Mele-Hubbard model at finite temperature
• Coulomb drag in topological materials
• Topological quantum phase transition in Kane-Mele-Kondo lattice model
• Bad topological semimetals in layered honeycomb compounds
• Buried topological edge state associated with interface between topological band insulator and Mott insulator
• Topological properties of magnetically ordered heavy-fermion systems in the presence of mirror symmetry
• Helical Luttinger liquid on a space-time lattice
• Zero Temperature Phase Diagram of the Classical Kane-Mele-Heisenberg Model
• Interaction-induced phases in the half-filled Bernevig-Hughes-Zhang model in one dimension
• Valence Bond Phases in $S=1/2$ Kane-Mele-Heisenberg Model