Cellular dynamical mean-field theory study of an interacting topological honeycomb lattice model at finite temperature
arXiv:1408.4847 · doi:10.1103/PhysRevB.91.045122
Abstract
Topological phases originating from spin-orbit coupling have attracted great attention recently. In this work, we use cellular dynamical mean field theory with the continuous-time quantum Monte Carlo solver to study the Kane-Mele-Hubbard model supplemented with an additional third-neighbor hopping term. For weak interactions, the third-neighbor hopping term drives a topological phase transition between a topological insulator and a trivial insulator, consistent with previous fermion sign-free quantum Monte Carlo results [H.-Hung et al., Phys. Rev. B 89, 235104 (2014)]. At finite temperatures, the Dirac cones of the zero temperature topological phase boundary give rise to a metallic regime of finite width in the third-neighbor hopping. Furthermore, we extend the range of interactions into the strong coupling regime and find an easy-plane anti-ferromagnetic insulating state across a wide range of third-neighbor hopping. In contrast to the weak coupling regime, no topological phase transition occurs at strong coupling, and the ground state is a trivial anti-ferromagnetic insulating state. A comprehensive finite temperature phase diagram in the interaction-third-neighbor hopping plane is provided.
References in corpus (82)
- Topological Insulators
- Topological insulators and superconductors
- Quantum Spin Hall Effect in Graphene
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Topological Order and the Quantum Spin Hall Effect
- Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
- Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
- Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
- Angle-resolved photoemission spectroscopy of the cuprate superconductors
- A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
- Spin Hall effect
- Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
- Valley contrasting physics in graphene: magnetic moment and topological transport
- Quantized Anomalous Hall Effect in Magnetic Topological Insulators
- Continuous-time Monte Carlo methods for quantum impurity models
- Topological Crystalline Insulators in the SnTe Material Class
- Quantum Cluster Theories
- Mott physics and band topology in materials with strong spin-orbit interaction
- Tunable Multifunctional Topological Insulators in Ternary Heusler Compounds
- The Helical Liquid and the Edge of Quantum Spin Hall Systems
- Antiferromagnetic topological insulators
- Topological Mott Insulators
- Continuous Time Quantum Monte Carlo method for fermions
- Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
- Quantum spin Hall effect in a transition metal oxide Na2IrO3
- Competition between weak localization and antilocalization in topological surface states
- Cluster Dynamical Mean Field Theory of the Mott Transition
- Topological Insulators and Mott Physics from the Hubbard Interaction
- Systematic study of d-wave superconductivity in the 2D repulsive Hubbard model
- Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study
- Electronic Structure of the Topological Insulator Bi2Se3 Using Angle-Resolved Photoemission Spectroscopy: Evidence for a Nearly Full Surface Spin Polarization
- Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
- Fractional Chern Insulators in Topological Flat bands with Higher Chern Number
- Topological semimetal in a fermionic optical lattice
- Particle-hole symmetry and interaction effects in the Kane-Mele-Hubbard model
- Mott Physics and Topological Phase Transition in Correlated Dirac Fermions
- Fractional topological insulators in three dimensions
- Cluster Dynamical Mean Field analysis of the Mott transition
- Measuring a topological transition in an artificial spin 1/2 system
- Quantum phase transitions in the Kane-Mele-Hubbard model
- Magnetoresistance due to edge spin accumulation
- Quantum Spin Hall Insulators with Interactions and Lattice Anisotropy
- Correlation effects on 3D topological phases: from bulk to boundary
- Topological insulators and fractional quantum Hall effect on the ruby lattice
- Mott transition of fermionic atoms in a three-dimensional optical trap
- Cross-Correlated Responses of Topological Superconductors and Superfluids
- Two-Dimensional Density-Matrix Topological Fermionic Phases: Topological Uhlmann Numbers
- Competing Exotic Topological Insulator Phases in Transition Metal Oxides on the Pyrochlore Lattice with Distortion
- Topological Crystalline Insulators in Transition Metal Oxides
- Kondo Metal and Ferrimagnetic Insulator on the Triangular Kagomé Lattice
- Topological phases and phase transitions on the square-octagon lattice
- Topological Insulators in Ternary Compounds with a Honeycomb Lattice
- Topological indices for open and thermal systems via Uhlmann's phase
- Topological Insulators with Commensurate Antiferromagnetism
- Topological Order and Semions in a Strongly Correlated Quantum Spin Hall Insulator
- Spin and charge order in doped Hubbard model: long-wavelength collective modes
- Time-Reversal-Invariant Hofstadter-Hubbard Model with Ultracold Fermions
- Rashba spin orbit coupling in the Kane-Mele-Hubbard model
- Susceptibility and dilution effects of the kagome bi-layer geometrically frustrated network. A Ga-NMR study of SrCr_(9p)Ga_(12-9p)O_(19)
- Correlation effects on a topological insulator at finite temperatures
- Berry Phase Effect on Exciton Transport and Bose Einstein Condensate
- Magnetic ordering phenomena of interacting quantum spin Hall models
- T=0 heavy fermion quantum critical point as an orbital selective Mott transition
- Mott Physics on Helical Edges of 2D Topological Insulators
- Cellular Dynamical Mean Field Theory for the 1D Extended Hubbard Model
- Néel transition of lattice fermions in a harmonic trap: a real-space DMFT study
- Topological antiferromagnetic phase in a correlated Bernevig-Hughes-Zhang model
- Topological phase transition in a generalized Kane-Mele-Hubbard model: A combined Quantum Monte Carlo and Green's function study
- Phase Diagram of the Kane-Mele-Hubbard model
- Topological order in a correlated three-dimensional topological insulator
- Z2 topological invariants in two dimensions from quantum Monte Carlo
- Topological order in a correlated Chern insulator
- Interaction effects on topological phase transitions via numerically exact quantum Monte Carlo calculations
- Interaction induced topological phase transition in Bernevig-Hughes-Zhang model
- The characterization of topological properties in Quantum Monte Carlo simulations of the Kane-Mele-Hubbard model
- Topological Insulators and Quantum Spin Liquids
- Antiferromagnetic topological insulator state in the correlated Bernevig-Hughes-Zhang model
- Change of an insulator's topological properties by a Hubbard interaction
- Three-Band Model for Quantum Hall and Spin Hall Effects
- Effects of short-ranged interactions on the Kane-Mele model without discrete particle-hole symmetry
- Interaction-induced localization of fermionic mobile impurities in a Larkin-Ovchinnikov superfluid
- Short-ranged interaction effects on topological phase transitions
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- Band geometry, Berry curvature and superfluid weight
- Topological phase transitions in the repulsively interacting Haldane-Hubbard model
- Bona fide interaction-driven topological phase transition in correlated SPT states
- Strong Correlation Effects on Topological Quantum Phase Transitions in Three Dimensions
- 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
- Coexistence of metallic edge states and anti-ferromagnetic ordering in correlated topological insulators
- Topological invariants for interacting topological insulators: I. Efficient numerical evaluation scheme and implementations
- Disorder effects in correlated topological insulators
- Elementary band representations for the single-particle Green's function of interacting topological insulators
- Temperature-driven gapless topological insulator
- Braiding of edge states in narrow zigzag graphene nanoribbons: effect of the third neighbors hopping
- Interacting weak topological insulators and their transition to Dirac semimetal phases
- Nature of continuous phase transitions in interacting topological insulators
- Restoration of topological properties at finite temperatures in a heavy-fermion system
- Topological insulator on honeycomb lattices and ribbons without inversion symmetry
- Thermodynamic and topological phase diagrams of correlated topological insulators
- Phase transitions of the Kane-Mele-Hubbard model with a long-range hopping
- Multitude of phases in correlated lattice fermion systems with spin-dependent disorder
- Comparing the effective enhancement of local and non-local spin-orbit couplings on honeycomb lattices due to strong electronic correlations