Quantum anomalous Hall domains in a Quenched Topological Mott Insulator

Abstract

We study an interacting spinless quadratic band touching model that realizes a topological Mott insulating state. We quench the interaction from a value corresponding to the nematic insulator to that of the quantum anomalous Hall (QAH) ordered phase. We perform time-dependent Hartree-Fock simulations and show that after the quench the system realizes an excited Dirac semimetal state, which is however unstable and spontaneously evolves to a state with inhomogeneous nematic and QAH order parameters. The modulations form a stripe pattern that grows exponentially with time until the local Chern marker reaches unity. The alternating QAH order defines a domain structure with boundaries that host chiral sublattice currents.

arXiv comment11 pages, 14 figures

References in corpus (41)

• Quantum Spin Hall Effect in Graphene
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Ultrafast switching to a stable hidden topologically protected quantum state in an electronic crystal
• Topological Mott Insulators
• Fractional quantum Hall effect in the absence of Landau levels
• Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
• Interacting topological insulators: a review
• The simplest quantum model supporting the Kibble-Zurek mechanism of topological defect production: Landau-Zener transitions from a new perspective
• Mapping topological order in coordinate space
• Topological Insulators and Mott Physics from the Hubbard Interaction
• Entanglement Spectrum of a Disordered Topological Chern Insulator
• Spontaneous creation of Kibble-Zurek solitons in a Bose-Einstein condensate
• Quantum Quenches in Chern Insulators
• Interaction effects and quantum phase transitions in topological insulators
• Defect formation beyond Kibble-Zurek mechanism and holography
• Time-Reversal Symmetry Breaking and Spontaneous Anomalous Hall Effect in Fermi Fluids
• From the adiabatic theorem of quantum mechanics to topological states of matter
• Topological Mott Insulator at Quarter Filling in the Interacting Haldane Model
• Mott insulators with boundary zeros
• Transient trapping into metastable states in systems with competing orders
• Low rank compression in the numerical solution of the nonequilibrium Dyson equation
• Global formation of topological defects in the multiferroic hexagonal manganites
• Self-similar dynamics of order parameter fluctuations in pump-probe experiments
• Diagnosis of interaction-driven topological phase via exact diagonalization
• Quenching through Dirac and semi-Dirac points in optical Lattices: Kibble-Zurek scaling for anisotropic Quantum-Critical systems
• Cooper pair turbulence in atomic Fermi gases
• Occupation probabilities and current densities of bulk and edge states of a Floquet topological insulator
• Kibble-Zurek behavior in disordered Chern insulators
• Tunning topological phase and quantum anomalous Hall effect by interaction in quadratic band touching systems
• Adaptive Numerical Solution of Kadanoff-Baym Equations
• Interaction-induced topological phase transition and Majorana edge states in low-dimensional orbital-selective Mott insulators
• Quantum Anomalous Hall Insulator Stabilized By Competing Interactions
• Slow quenches in two-dimensional time-reversal symmetric Z2 topological insulators
• Self-Trapped Polarons and Topological Defects in a Topological Mott Insulator
• Slow quenches in Chern insulator ribbons
• Pattern Formation by Electric-field Quench in Mott Crystal
• Interaction-driven quantum anomalous Hall insulator in Dirac semimetal
• Pattern formation in charge density wave states after a quantum quench
• Ubiquitous nematic Dirac semimetal emerging from interacting quadratic band touching system
• Kibble-Zurek behavior in a topological phase transition with a quadratic band crossing
• Topological phase in the extended Haldane-Hubbard model with sublattice-dependent repulsion