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.

8 pages, 6 figures, to be published in PRL

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Cited by in corpus (35)

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• Mott insulators with boundary zeros
• Non-Hermitian Mott Skin Effect
• Spectral and Entanglement Properties of the Bosonic Haldane Insulator
• Topological magnetic excitations
• Interplay of local order and topology in the extended Haldane-Hubbard model
• Exploring interacting topological insulator of extended Su-Schrieffer-Heeger model
• Simulating bosonic Chern insulators in one-dimensional optical superlattices
• Elementary band representations for the single-particle Green's function of interacting topological insulators
• Interacting second-order topological insulators in one-dimensional fermions with correlated hopping
• 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
• Photoinduced anomalous Hall effect in the interacting Haldane model: targeting topological states with pump pulses
• Topological Mott transition in a Weyl-Hubbard model with dynamical mean-field theory
• Quasiparticle excitations in a one-dimensional interacting topological insulator: Application for dopant-based quantum simulation
• Higher-order topological insulator in a modified Haldane-Hubbard model
• Phase transitions in the Haldane-Hubbard model with ionic potentials
• Interaction driven topological phase transitions of hardcore bosons on a two-leg ladder
• Antiferromagnetic Chern insulator with large charge gap in heavy transition-metal compounds
• Effects of correlations on phase diagrams of the two-dimensional Su-Schrieffer-Heeger model with the longer-range hoppings
• Fermionic Symmetry Protected Topological Phase Induced by Interactions
• Synthetic Hall tube of interacting fermions
• Interaction-induced phase transitions at topological quantum criticality of an extended Su-Schrieffer-Heeger model
• Interacting Chern Insulator in Infinite Spatial Dimensions
• 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
• Transmigration of Edge States with Interaction in Su-Schrieffer-Heeger Chain
• Recent progress on disorder-induced topological phases
• Connecting Topological Anderson and Mott Insulators in Disordered Interacting Fermionic Systems
• Topological phases protected by projective space-time inversion symmetry in alkaline-earth-metal-like atoms
• Cutoff-independent RG flow equations for two-coupled chains model
• 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
• Persistent Haldane Phase in Carbon Tetris Chains