Characterization of a topological Mott insulator in one dimension

Abstract

We investigate properties of a topological Mott insulator in one dimension by examining the bulk topological invariant and the entanglement spectrum of a correlated electron model. We clarify how gapless edge states in a non-interacting topological band insulator evolve into spinon edge states in a topological Mott insulator. Furthermore, we propose a topological Mott transition, which is a new type of topological phase transition and never observed in free fermion systems. This unconventional transition occurs in spin liquid phases in the Mott insulator and is accompanied by zeros of the single-electron Green's function and a gap closing in the spin excitation spectrum.

arXiv comment8 pages, 6 figures, to be published in PRL

References in corpus (38)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• The density-matrix renormalization group in the age of matrix product states
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• The density-matrix renormalization group
• Entanglement spectrum of a topological phase in one dimension
• Mott physics and band topology in materials with strong spin-orbit interaction
• Classification of Gapped Symmetric Phases in 1D Spin Systems
• Tunable Multifunctional Topological Insulators in Ternary Heusler Compounds
• Topological phases of fermions in one dimension
• A new platform for topological quantum phenomena : Topological Insulator states in thermoelectric Heusler-related ternary compounds
• 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
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• Complete classification of 1D gapped quantum phases in interacting spin systems
• Single particle Green's functions and interacting topological insulators
• Topological Insulators and Mott Physics from the Hubbard Interaction
• Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study
• Simplified topological invariants for interacting insulators
• Correlation effects in two-dimensional topological insulators
• Particle-hole symmetry and interaction effects in the Kane-Mele-Hubbard model
• Mott Physics and Topological Phase Transition in Correlated Dirac Fermions
• Topological insulators in three dimensions from spontaneous symmetry breaking
• Quantum Spin Hall Insulators with Interactions and Lattice Anisotropy
• Interaction effects and quantum phase transitions in topological insulators
• Topological invariants and interacting one-dimensional fermionic systems
• Topological Phase Transitions for Interacting Finite Systems
• Phases of correlated spinless fermions on the honeycomb lattice
• Correlation effects on a topological insulator at finite temperatures
• Topological Insulators from Spontaneous Symmetry Breaking Induced by Electron Correlation on Pyrochlore Lattices
• A study on correlation effects in two dimensional topological insulators
• Mott Physics on Helical Edges of 2D Topological Insulators
• Interaction driven phases in the honeycomb lattice from exact diagonalization
• Topological insulators in filled skutterudites

Cited by in corpus (77)

• Interacting topological insulators: a review
• Topological quantum matter with cold atoms
• Non-Hermitian perspective of the band structure in heavy-fermion systems
• Exceptional rings in two-dimensional correlated systems with chiral symmetry
• Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
• Higher-order Topological Mott Insulators
• Non-Hermitian fractional quantum Hall states
• Topological charge pumping in the interacting bosonic Rice-Mele model
• Exotic Quantum Phase Transitions of $(2+1)d$ Dirac fermions
• Topological Bose-Mott insulators in one-dimensional non-Hermitian superlattices
• Kaleidoscope of symmetry protected topological phases in one-dimensional periodically modulated lattices
• Chiral-symmetry protected exceptional torus in correlated nodal-line semi-metals
• Mott insulators with boundary zeros
• Bona fide interaction-driven topological phase transition in correlated SPT states
• Breakdown of topological Thouless pumping in the strongly interacting regime
• Non-Hermitian Mott Skin Effect
• Exceptional band touching for strongly correlated systems in equilibrium
• Spectral and Entanglement Properties of the Bosonic Haldane Insulator
• Diagnosis of interaction-driven topological phase via exact diagonalization
• Topological charge pumping of bound bosonic pairs
• Interaction Induced Topological Charge Pump
• Weakly Interacting Topological Insulators: Quantum Criticality and Renormalization Group Approach
• Topological magnetic excitations
• Interplay of local order and topology in the extended Haldane-Hubbard model
• Topological invariants for interacting topological insulators: II. Breakdown of the Green's function formalism
• Symmetry-protected topological states for interacting fermions in alkaline-earth-like atoms
• Exploring interacting topological insulator of extended Su-Schrieffer-Heeger model
• Topological invariants for the Haldane phase of interacting SSH chains -- a functional RG approach
• Topological invariants for interacting topological insulators: I. Efficient numerical evaluation scheme and implementations
• Elementary band representations for the single-particle Green's function of interacting topological insulators
• Simulating bosonic Chern insulators in one-dimensional optical superlattices
• Magnetic states in a three-dimensional topological Kondo insulator
• The Mott transition as a topological phase transition
• Interacting second-order topological insulators in one-dimensional fermions with correlated hopping
• 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-
• Competing Orders and Unconventional Criticality in the Su-Schrieffer-Heeger Model
• Interaction driven polarization shift in the $t-V-V^{\prime }$ lattice fermion model at half filling: emergent Haldane phase
• Higher-Order Topological Mott Insulator on the Pyrochlore Lattice
• Stabilization of Hubbard-Thouless pumps through nonlocal fermionic repulsion
• Correlation Effects in Quadrupole Insulators: a Quantum Monte Carlo Study
• Characterization of a correlated topological Kondo insulator in one dimension
• Topological Mott Insulator with Bosonic Edge Modes in 1D Fermionic Superlattices
• Topological Mott transition in a Weyl-Hubbard model with dynamical mean-field theory
• Density matrix renormalization group study in energy space for a single-impurity Anderson model and an impurity quantum phase transition
• Photoinduced anomalous Hall effect in the interacting Haldane model: targeting topological states with pump pulses
• Quasiparticle excitations in a one-dimensional interacting topological insulator: Application for dopant-based quantum simulation
• Ab initio study of nontrivial topological phases in corundum structured $($M${}_2$O${}_3)/($Al${}_2$O${}_3{)}_5$ multilayers
• Phase transitions in the Haldane-Hubbard model with ionic potentials
• Three-body constrained bosons in double-well optical lattice
• Restoration of topological properties at finite temperatures in a heavy-fermion system
• Higher-order topological insulator in a modified Haldane-Hubbard model
• Corroborating the bulk-edge correspondence in weakly interacting 1D topological insulators
• Interaction driven topological phase transitions of hardcore bosons on a two-leg ladder
• Fermionic Symmetry Protected Topological Phase Induced by Interactions
• Effects of correlations on phase diagrams of the two-dimensional Su-Schrieffer-Heeger model with the longer-range hoppings
• Topological phases arising from attractive interaction and pair hopping in the Extended Hubbard Model
• Antiferromagnetic Chern insulator with large charge gap in heavy transition-metal compounds
• Synthetic Hall tube of interacting fermions
• Interaction-induced phase transitions at topological quantum criticality of an extended Su-Schrieffer-Heeger model
• Hierarchy of correlations: Application to Green's functions and interacting topological phases
• Topological properties of magnetically ordered heavy-fermion systems in the presence of mirror symmetry
• Interacting Chern Insulator in Infinite Spatial Dimensions
• The $\pi$ Berry Phase and Topological Excitation in Interacting Boson-Fermion Mixtures
• Entanglement and edge effects in superpositions of many-body Fock states with spatial constraints
• Quasiparticle picture of topological phase transitions induced by interactions
• Su-Schrieffer-Heeger-Hubbard model at quarter filling: effects of magnetic field and non-local interactions
• Revealing the topological nature of the bond order wave in a strongly correlated quantum system
• Topological invariants in terms of Green's function for the interacting Kitaev chain
• Recent progress on disorder-induced topological phases
• Topological phases protected by projective space-time inversion symmetry in alkaline-earth-metal-like atoms
• Transmigration of Edge States with Interaction in Su-Schrieffer-Heeger Chain
• Connecting Topological Anderson and Mott Insulators in Disordered Interacting Fermionic Systems
• Persistent Haldane Phase in Carbon Tetris Chains
• Cutoff-independent RG flow equations for two-coupled chains model
• Reflection-Symmetry Protected Antiferromagnetic Topological Insulator in Three-Dimensional Heavy-Fermion Systems
• Possibility of hole confinement in the weak coupling regime of one dimensional ising antiferromagnet and the emergence of spin-charge separation in the bulk limit