Topological Anderson insulating phases in the interacting Haldane model

Abstract

We analyze the influence of disorder and strong correlations on the topology in two dimensional Chern insulators. A mean field calculation in the half-filled Haldane model with extended Hubbard interactions and Anderson disorder shows that disorder favors topology in the interacting case and extends the topological phase to a larger region of the Hubbard parameters. In the absence of a staggered potential, we find a novel disorder-driven topological phase with Chern number C=1, with co-existence of topology with long range spin and charge orders. More conventional topological Anderson insulating phases are also found in the presence of a finite staggered potential.

References in corpus (26)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Experimental realisation of the topological Haldane model
• Observation of many-body localization of interacting fermions in a quasi-random optical lattice
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Exploring the many-body localization transition in two dimensions
• Topological Anderson Insulator
• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Fermi-Hubbard physics with atoms in an optical lattice
• Interacting topological insulators: a review
• Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
• Pinning the order: the nature of quantum criticality in the Hubbard model on honeycomb lattice
• Localization in a quantum spin Hall system
• Topological phase transitions in the repulsively interacting Haldane-Hubbard model
• Quench Dynamics of a Fermi Gas with Strong Non-Local Interactions
• Disorder effect on 3-dimensional $Z_2$ quantum spin Hall systems
• Sum Rule of the Hall Conductance in Random Quantum Phase Transition
• Coupling-Matrix Approach to the Chern Number Calculation in Disordered Systems
• First order topological phase transition of the Haldane--Hubbard model
• Phase diagram topology of the Haldane-Hubbard-Coulomb model
• Interplay of local order and topology in the extended Haldane-Hubbard model
• Statistical Analysis of the Chern Number in the Interacting Haldane-Hubbard Model
• Composite Spin Liquid in Correlated Topological Insulator - Spin Liquid without Spin-Charge Separation
• Spontaneous symmetry breaking of an interacting Chern insulator on a topological square lattice
• Route towards Localization for Quantum Anomalous Hall Systems with Chern Number 2
• Phase transitions in the Haldane-Hubbard model with ionic potentials
• Topological order in the Haldane model with spin-spin on-site interactions

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• Phase transitions and scale invariance in topological Anderson insulators
• Topological phase in the extended Haldane-Hubbard model with sublattice-dependent repulsion
• Phase diagram of the interacting Haldane model with spin-dependent sublattice potentials
• Recent progress on disorder-induced topological phases
• Finite-temperature topological transitions in the presence of quenched uncorrelated disorder
• Coherent cellular dynamical mean-field theory: a real-space quantum embedding approach to disorder in strongly correlated electron systems
• Anomalous Non-Hermitian Topological Anderson Insulator
• The antiferromagnetic Chern insulator phase in the Kane-Mele-Hubbard model