Higher-order Topological Mott Insulators

Abstract

We propose a new correlated topological state which we call a higher-order topological Mott insulator (HOTMI). This state exhibits a striking bulk-boundary correspondence due to electron correlations. Namely, the topological properties in the bulk, characterized by the Z3 spin-Berry phase, result in gapless corner modes emerging only in spin excitations (i.e., the single-particle excitations remain gapped around the corner). We demonstrate the emergence of the HOTMI in a Hubbard model on the kagome lattice, and elucidate how strong correlations change gapless corner modes at the noninteracting case.

References in corpus (63)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Topological Field Theory of Time-Reversal Invariant Insulators
• New directions in the pursuit of Majorana fermions in solid state systems
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Quantized Electric Multipole Insulators
• Higher-Order Topological Insulators
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Mott physics and band topology in materials with strong spin-orbit interaction
• Topolectrical circuit realization of topological corner modes
• Observation of a phononic quadrupole topological insulator
• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• Topological phases of fermions in one dimension
• Higher-Order Topology in Bismuth
• Topological Mott Insulators
• The effects of interactions on the topological classification of free fermion systems
• Topological Phases of One-Dimensional Fermions: An Entanglement Point of View
• Theory and classification of interacting 'integer' topological phases in two dimensions: A Chern-Simons approach
• Interacting topological insulators: a review
• Majorana Fermions and Topology in Superconductors
• Topological Insulators and Mott Physics from the Hubbard Interaction
• Majorana corner modes in a high-temperature platform
• Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study
• Correlation effects in two-dimensional topological insulators
• Interacting topological phases and modular invariance
• Classification and analysis of two dimensional abelian fractional topological insulators
• Mott Physics and Topological Phase Transition in Correlated Dirac Fermions
• Symmetry Enforced Chiral Hinge States and Surface Quantum Anomalous Hall Effect in Magnetic Axion Insulator ${\text{Bi}}_{2-x}{\text{Sm}}_x{\text{Se}}_3$
• Interaction effect on topological classification of superconductors in two dimensions
• Symmetry Protected Topological States of Interacting Fermions and Bosons
• Second-order Dirac superconductors and magnetic field induced Majorana hinge modes
• Topological Crystalline Insulators in Transition Metal Oxides
• Theory of interacting topological crystalline insulators
• Higher order symmetry-protected topological states for interacting bosons and fermions
• Breakdown of the topological classification Z for gapped phases of noninteracting fermions by quartic interactions
• Mott transition in Kagomé lattice Hubbard model
• Characterization of a topological Mott insulator in one dimension
• $Z_Q$ Topological Invariants for Polyacetylene, Kagome and Pyrochlore lattices
• Correlation effects on a topological insulator at finite temperatures
• Phase diagram of disordered higher-order topological insulator: A machine learning study
• A study on correlation effects in two dimensional topological insulators
• Edge-of-edge States
• Topological antiferromagnetic phase in a correlated Bernevig-Hughes-Zhang model
• Topological invariants and corner states for Hamiltonians on a three-dimensional lattice
• Emergent orbitals in the cluster Mott insulator on a breathing Kagome lattice
• Low-energy excitations of the Hubbard model on the Kagomé lattice
• Mott transition in the Hubbard model on the anisotropic kagomé lattice
• Mott transition and ferrimagnetism in the Hubbard model on the anisotropic kagomé lattice
• Chirality-driven mass enhancement in the kagome Hubbard model
• Correlation effects on topological crystalline insulators
• Fate of Majorana modes in ${\mathrm{CeCoIn}}_5$/${\mathrm{YbCoIn}}_5$ superlattices -a test bed for reduction of topological classification-
• Reduction of topological $\mathbb{Z}$ classification in cold atomic systems
• Topological edge Mott insulating state in two dimensions at finite temperatures -bulk and edge analysis-
• U(1) symmetry of the spin-orbit coupled Hubbard model on the Kagome lattice
• Fractionally quantized Berry's phase in an anisotropic magnet on the Kagome lattice
• Reduction of $\mathbb{Z}$ classification of a two-dimensional weak topological insulator - real-space DMFT study -
• Exact Ground States of the Extended Hubbard Model on the Kagome lattice

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• Optical detection of charge-density-wave instability in the non-magnetic kagome metal KV${}_3$Sb${}_5$
• Topological insulators and semimetals in classical magnetic systems
• Majorana corner and hinge modes in second-order topological insulator-superconductor heterostructures
• Square-root higher-order topological insulator on a decorated honeycomb lattice
• Higher-Order topological insulator in a dodecagonal quasicrystal
• Higher-order topological phases in a spring-mass model on a breathing kagome lattice
• ${\mathbb{Z}}_Q$ Berry Phase for Higher-Order Symmetry-Protected Topological Phases
• Observation of symmetry protected zero modes in topolectrical circuits
• Kekule Lattice in Graphdiyne: Coexistence of Phononic and Electronic Higher-Order Band Topology
• Non-Hermitian Floquet second order topological insulators in periodically quenched lattices
• Exceptional band touching for strongly correlated systems in equilibrium
• Exact Higher-order Bulk-boundary Correspondence of Corner-localized States
• First and Second Order Topological Phases on Ferromagnetic Breathing Kagome Lattice
• Higher-order topological phases in crystalline and non-crystalline systems: a review
• A Higher-Order Topological Insulator Phase in a Modulated Haldane Model
• Disorder-Induced Quantum Phase Transitions in Three-Dimensional Second-Order Topological Insulators
• Coulomb instabilities of 3D higher-order topological insulators
• Transition from metal to higher-order topological insulator driven by random flux
• Flat bands and higher-order topology in polymerized triptycene: Tight-binding analysis on decorated star lattices
• Topological excitonic corner states and nodal phase in bilayer quantum spin Hall insulators
• Many-Body Invariants for Chern and Chiral Hinge Insulators
• Sublattice-enriched tunability of bound states in second-order topological insulators and superconductors
• Fractional corner charges in a 2D super-lattice Bose-Hubbard model
• Robustness of Helical Hinge States of Weak Second-Order Topological Insulators
• How correlations change the magnetic structure factor of the kagome Hubbard model
• Topological States in Two-Dimensional Su-Schrieffer-Heeger Models
• Higher-order Topological Phases of Magnons in van der Waals Honeycomb Ferromagnets
• Higher-Order Topological Mott Insulator on the Pyrochlore Lattice
• Topological $s$-wave superconductors driven by electron correlation
• Second-Order Topological Insulator in van der Waals Heterostructures of CoBr${}_2$/Pt${}_2$HgSe${}_3$/CoBr${}_2$
• Detecting Bulk Topology of Quadrupolar Phase from Quench Dynamics
• Observation of type-III corner states induced by long-range interactions
• Engineering topologically protected zero-dimensional interface end states in antiferromagnetic heterojunction graphene nanoflakes
• Interaction-induced quantum spin Hall insulator in the organic Dirac electron system $\alpha$-(BEDT-TSeF)${}_2$I${}_3$
• Magnetic Flux Periodicity in Second Order Topological Superconductors
• Type-III Dirac Cones from Degenerate Directionally Flat Bands: Viewpoint from Molecular-Orbital Representation
• Dirac cones and higher-order topology in quasi-continuous media
• Interlayer Coupling Induced Topological Phase Transition to Higher Order
• Topological quantum transition driven by charge-phonon coupling in higher-order topological insulators
• Network model for higher-order topological phases
• Spin-orbit coupling in the kagome lattice with flux and time-reversal symmetry
• Topological Mott transition in a Weyl-Hubbard model with dynamical mean-field theory
• Hubbard model on the kagome lattice with time-reversal invariant flux and spin-orbit coupling
• Quantum Monte Carlo study of topological phases on a spin analogue of Benalcazar-Bernevig-Hughes model
• Floquet higher-order topological phases in momentum space
• Chiral orbital order of interacting bosons without higher bands
• Higher-order topological insulator in a modified Haldane-Hubbard model
• Majorana corner modes and flat-band Majorana edge modes in superconductor/topological-insulator/superconductor junctions
• Realizing Corner States in Artificial Crystals Based on Topological Spin Textures
• Unconventional ferromagnetism and spin-triplet superconductivity in the imbalanced Kagome-lattice Hubbard model
• Effect of local Coulomb interaction on Majorana corner modes: weak and strong correlation limits
• Berry curvature inside parity-time-symmetry protected exceptional surface
• Chiral Hinge Transport in Disordered Non-Hermitian Second-Order Topological Insulators
• Topological electronic states in holey graphyne
• Optical Berry Curvature of Hinge State and Its Detection
• Finite-temperature topological invariant for higher-order topological insulators
• Interaction-Induced Higher-Order Topological Insulator via Floquet Engineering
• Hybrid Higher-Order Skin Topological Modes in the Two-Dimensional Su-Schrieffer-Heeger Model with Nonreciprocal Hoppings
• Network model for magnetic higher-order topological phases
• Zeeman field induced corner states in the Kane-Mele-Hubbard model
• Higher-order topological quantum paramagnets