Quantum Spin Hall Insulators with Interactions and Lattice Anisotropy

Abstract

We investigate the interplay between spin-orbit coupling and electron-electron interactions on the honeycomb lattice combining the cellular dynamical mean-field theory and its real space extension with analytical approaches. We provide a thorough analysis of the phase diagram and temperature effects at weak spin-orbit coupling. We systematically discuss the stability of the quantum spin Hall phase toward interactions and lattice anisotropy resulting in the plaquette-honeycomb model. We also show the evolution of the helical edge states characteristic of quantum spin Hall insulators as a function of Hubbard interaction and anisotropy. At very weak spin-orbit coupling and intermediate electron-electron interactions, we substantiate the existence of a quantum spin liquid phase.

7 pages, 9 figures, final version

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Cited by in corpus (115)

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• Characterization of a topological Mott insulator in one dimension
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• Anomalous Hall Effects of Light and Chiral Edge Modes on the Kagome Lattice
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• Fluctuation-induced Topological Quantum Phase Transitions in Quantum Spin Hall and Quantum Anomalous Hall Insulators
• Magnetic ordering phenomena of interacting quantum spin Hall models
• Interaction driven phases in the honeycomb lattice from exact diagonalization
• The intermediate and spin-liquid phase of the half-filled honeycomb Hubbard model
• Chiral-symmetry protected exceptional torus in correlated nodal-line semi-metals
• Correlated Dirac Particles and Superconductivity on the Honeycomb Lattice
• Topological antiferromagnetic phase in a correlated Bernevig-Hughes-Zhang model
• Bona fide interaction-driven topological phase transition in correlated SPT states
• Topological phase transition in a generalized Kane-Mele-Hubbard model: A combined Quantum Monte Carlo and Green's function study
• Absence of spin liquid in non-frustrated correlated systems
• Density wave instabilities and surface state evolution in interacting Weyl semimetals
• Kondo lattice on the edge of a two-dimensional topological insulator
• Phase diagram and Fermi-liquid properties of the extended Hubbard model on the honeycomb lattice
• Chiral d-wave superconductivity on the honeycomb lattice close to the Mott state
• Chiral Bosonic Phases on the Haldane Honeycomb Lattice
• Z2 topological invariants in two dimensions from quantum Monte Carlo
• Antiferromagnetism in the Hubbard model on the honeycomb lattice: a Two-Particle Self-Consistent study
• Strong Correlation Effects on Topological Quantum Phase Transitions in Three Dimensions
• Symmetry Protected Topological Charge in Symmetry Broken Phase: Spin-Chern, Spin-Valley-Chern and Mirror-Chern Numbers
• Interaction effects on topological phase transitions via numerically exact quantum Monte Carlo calculations
• Higher-Order Topological Phase in a Honeycomb-Lattice Model with Anti-Kekulé Distortion
• Unusual magnetic phases in the strong interaction limit of two-dimensional topological band insulators in transition metal oxides
• The characterization of topological properties in Quantum Monte Carlo simulations of the Kane-Mele-Hubbard model
• Interaction effect in two-dimensional Dirac fermions
• Interaction-Induced Topological and Magnetic Phases in the Hofstadter-Hubbard Model
• Quantum cluster approach to the spinful Haldane-Hubbard model
• Topological invariants for interacting topological insulators: II. Breakdown of the Green's function formalism
• Topological Insulators and Quantum Spin Liquids
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• Correlated Topological Phases and Exotic Magnetism with Ultracold Fermions
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• Change of an insulator's topological properties by a Hubbard interaction
• Interacting Stochastic Topology and Mott Transition from Light Response
• Majorana Spin Liquids, Topology and Superconductivity in Ladders
• Cellular dynamical mean-field theory study of an interacting topological honeycomb lattice model at finite temperature
• Topological proximity effects in a Haldane-graphene bilayer system
• Topological invariants for interacting topological insulators: I. Efficient numerical evaluation scheme and implementations
• Coulomb correlations in the honeycomb lattice: role of translation symmetry
• Axionic Antiferromagnetic Insulator Phase in a Correlated and Spin-Orbit Coupled System
• Single magnetic impurities in the Kane-Mele model
• Orbital magnetization of correlated electrons with arbitrary band topology
• Quantum Spin Hall Effect in Twisted Bilayer Graphene
• Short-Range Correlations and Cooling of Ultracold Fermions in the Honeycomb Lattice
• Impurity bound states as detectors of topological band structures revisited
• Topological invariants in interacting Quantum Spin Hall: a Cluster Perturbation Theory approach
• Emergent Chiral Spin State in the Mott Phase of a Bosonic Kane-Mele-Hubbard Model
• Topological properties of the bond-modulated honeycomb lattice
• Anisotropic Quantum Spin Hall Effect, Spin-Orbital Textures and Mott Transition
• Topological phase in a two-dimensional metallic heavy-fermion system
• Competition of First-Order and Second-Order Topology on the Honeycomb Lattice
• Rashba coupling and magnetic order in correlated helical liquids
• Interlayer magnetic frustration driven quantum spin disorder in honeycomb compound In${}_3$Cu${}_2$VO${}_9$
• Topological Magnon Insulator with a Kekule Bond Modulation
• Analytical approach for the Mott transition in the Kane-Mele-Hubbard model
• Spin-filtered edge states in graphene
• Impact of strong correlations on a band topological insulator on the Lieb lattice
• Correlation-driven phase transition in a Chern insulator
• Proximity effects in a topological-insulator/Mott-insulator heterostructure
• Route towards Localization for Quantum Anomalous Hall Systems with Chern Number 2
• Quantum phase transitions of topological insulators without gap closing
• Effects of short-ranged interactions on the Kane-Mele model without discrete particle-hole symmetry
• Nature of continuous phase transitions in interacting topological insulators
• Quasiparticle excitations in a one-dimensional interacting topological insulator: Application for dopant-based quantum simulation
• Restoration of topological properties at finite temperatures in a heavy-fermion system
• Strong coupling approach to Mott transition of massless and massive Dirac fermions on honeycomb lattice
• Realizing Topological Mott Insulators from the RKKY Interaction
• Hubbard model on the kagome lattice with time-reversal invariant flux and spin-orbit coupling
• Spin Hall conductivity in the Kane-Mele-Hubbard model at finite temperature
• Spatially anisotropic kagome antiferromagnet with Dzyaloshinskii-Moriya interaction
• Quantum cluster approach to the topological invariants in correlated Chern insulators
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• Antiferromagnetic Chern insulator with large charge gap in heavy transition-metal compounds
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• Bad topological semimetals in layered honeycomb compounds
• Collective modes in a Dirac insulator with short range interactions
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• Absence of Spin Liquid in the Hubbard model on the Honeycomb Lattice
• Kekulé valence bond order in the honeycomb lattice optical Su-Schrieffer-Heeger Model and its relevance to Graphene
• Edge modes in the Hofstadter model of interacting electrons
• The competition between the intrinsic and Rashba spin-orbit coupling and effects of correlations on Rashba SOC-driven transitions in the Kane-Mele model
• Topological property of a $t_{2g}^5$ system with a honeycomb lattice structure
• Short-ranged interaction effects on $Z_2$ topological phase transitions
• Topological multiferroic phases in the extended Kane-Mele-Hubbard Model in the Hofstadter regime
• Topological properties of magnetically ordered heavy-fermion systems in the presence of mirror symmetry
• Cooper Pairing in A Doped 2D Antiferromagnet with Spin-Orbit Coupling
• Zero Temperature Phase Diagram of the Classical Kane-Mele-Heisenberg Model
• Thermodynamic and topological phase diagrams of correlated topological insulators
• Quantum Hall and Light Responses in a 2D Topological Semimetal
• Multitude of phases in correlated lattice fermion systems with spin-dependent disorder
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• Correlated electrons in a Crystalline Topological insulator
• Interplay between edge states and charge density wave order in the Falicov-Kimball model on a Haldane ribbon
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• Theoretical investigation of thermostability of incompressible channels in quantum Hall states