Magnetic Order Driven Topological Transition in the Haldane-Hubbard Model

Abstract

In this letter we study the Haldane model with on-site repulsive interactions at half-filling. We show that the mean-field Hamiltonian with magnetic order effectively modifies parameters in the Haldane Hamiltonian, such as sublattice energy difference and phase in next nearest hopping. As interaction increases, increasing of magnetic order corresponds to varying these parameters and consequently, drives topological transitions. At the mean-field level, one scenario is that the magnetic order continuously increases, and inevitably, the fermion gap closes at the topological transition point with nonzero magnetic order. Beyond the mean-field, interaction between fermions mediated by spin-wave fluctuations can further open up the gap, rendering a first-order transition. Another scenario is a first-order transition at mean-field level across which a canted magnetic order develops discontinuously, avoiding the fermion gap closing. We find that both scenarios exist in the phase diagram of the Haldane-Hubbard model. Our predication is relevant to recent experimental realization of the Haldane model in cold atom system.

9 pages, 4 figures, with supplementary material

References in corpus (14)

• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Photovoltaic Hall effect in graphene
• Topological Mott Insulators
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
• Correlated Topological Insulators with Mixed Valence
• Simplified topological invariants for interacting insulators
• Correlation effects in two-dimensional topological insulators
• Mott Physics and Topological Phase Transition in Correlated Dirac Fermions
• Charge instabilities and topological phases in the extended Hubbard model on the honeycomb lattice with enlarged unit cell
• Topological phase transition in a generalized Kane-Mele-Hubbard model: A combined Quantum Monte Carlo and Green's function study
• Competing Chiral Orders in the Topological Haldane-Hubbard Model of Spin-1/2 Fermions and Bosons
• Topological Invariant and Quantum Spin Models from Magnetic π Fluxes in Correlated Topological Insulators
• Short-ranged interaction effects on $Z_2$ topological phase transitions

Cited by in corpus (32)

• Topological Bands for Ultracold Atoms
• Band geometry, Berry curvature and superfluid weight
• Topological phase transitions in the repulsively interacting Haldane-Hubbard model
• Exploring competing density order in the ionic Hubbard model with ultracold fermions
• Haldane-Hubbard Mott Insulator: From Tetrahedral Spin Crystal to Chiral Spin Liquid
• Controlling the Floquet state population and observing micromotion in a periodically driven two-body quantum system
• First order topological phase transition of the Haldane--Hubbard model
• Excitation band topology and edge matter waves in Bose-Einstein condensates in optical lattices
• Quantum cluster approach to the spinful Haldane-Hubbard model
• Topological Sachdev-Ye-Kitaev Model
• Two-component quantum Hall effects in topological flat bands
• Artificial $SU(3)$ Spin-Orbit Coupling and Exotic Mott Insulators
• Mean field study of the topological Haldane-Hubbard model of spin-$1/2$ fermions
• Emergence of Chern Supermetal and Pair-Density Wave through Higher-Order Van Hove Singularities in the Haldane-Hubbard Model
• Topological phase transitions and universality in the Haldane-Hubbard model
• Charge density wave and charge pump of interacting fermions in circularly shaken hexagonal optical lattices
• Topological Superfluids and BEC-BCS Crossover in Attractive Haldane-Hubbard Model
• Phase transitions in the Haldane-Hubbard model
• Spontaneous symmetry breaking of an interacting Chern insulator on a topological square lattice
• Exact Solution to Haldane-BCS-Hubbard Model Along the Symmetric Lines: Interaction Induced Topological Phase Transition
• Polaron in a $p+ip$ Fermi topological superfluid
• Emergent topology and symmetry-breaking order in correlated quench dynamics
• Non-Hermitian Haldane-Hubbard model: Effective description of one- and two-body dissipation
• Flat-band ferromagnetism and spin waves in the Haldane-Hubbard model
• Interaction-induced phase transitions of type-II Weyl semimetals
• Quantum cluster approach to the topological invariants in correlated Chern insulators
• Repulsive Fermi gases in a two-dimensional lattice with non-Abelian gauge fields
• Emergence of asymmetric fermionic order in interacting birefringent fermions
• Topological order in the Haldane model with spin-spin on-site interactions
• The odd-parity altermagnetism: A spin group study
• Odd-parity altermagnetism through sublattice currents: From Haldane-Hubbard model to general bipartite lattices
• Impact of correlations on topology in Kane-Mele model decorated with impurities