${\mathbb{Z}}_2$ slave-spin theory of a strongly correlated Chern insulator

Abstract

We calculate the phase diagram of the topological honeycomb model in the presence of strong interactions. We concentrate on half filling and employ a ${\mathbb{Z}}_2$ slave-spin method to find a band insulator with staggered density, a spin-density-wave and a Mott insulating phase. Both the band insulator and the spin-density wave come in various topological varieties. Finally, we calculate the response function relevant for lattice modulation spectroscopy with cold atomic gases in optical lattices.

7 pages, 4 figures

References in corpus (9)

• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Nearly-flat bands with nontrivial topology
• Topological Mott Insulators
• The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
• Density waves and Cooper pairing on the honeycomb lattice
• Artificial graphene with tunable interactions
• Dynamically Generated Double Occupancy as a Probe of Cold Atom Systems
• Topological order in a correlated Chern insulator

Cited by in corpus (17)

• Interacting topological insulators: a review
• Topological phase transitions in the repulsively interacting Haldane-Hubbard model
• Simple ${\mathbb{Z}}_2$ lattice gauge theories at finite fermion density
• First order topological phase transition of the Haldane--Hubbard model
• Phase diagram topology of the Haldane-Hubbard-Coulomb model
• Quantum cluster approach to the spinful Haldane-Hubbard model
• Interacting Stochastic Topology and Mott Transition from Light Response
• Mean field study of the topological Haldane-Hubbard model of spin-$1/2$ fermions
• Topological phase transitions and universality in the Haldane-Hubbard model
• Spontaneous symmetry breaking of an interacting Chern insulator on a topological square lattice
• Quantization of the interacting Hall conductivity in the critical regime
• Interaction-induced phase transitions of type-II Weyl semimetals
• Orthogonal metal in the Hubbard model with liberated slave spins
• Emergence of asymmetric fermionic order in interacting birefringent fermions
• Exactly solvable Majorana-Anderson impurity models
• Semiconductor of spinons: from Ising band insulator to orthogonal band insulator
• Phase transitions of the dimerized Kane-Mele model with/without the strong interaction