Quantum cluster approach to the spinful Haldane-Hubbard model

Abstract

We study the spinful fermionic Haldane-Hubbard model at half filling using a combination of quantum cluster methods: cluster perturbation theory (CPT), the variational cluster approximation (VCA), and cluster dynamical mean-field theory (CDMFT). We explore possible zero-temperature phases of the model as a function of on-site repulsive interaction strength and next-nearest-neighbor hopping amplitude and phase. Our approach allows us to access the regime of intermediate interaction strength, where charge fluctuations are significant and effective spin model descriptions may not be justified. Our approach also improves upon mean-field solutions of the Haldane-Hubbard model by retaining local quantum fluctuations and treating them nonperturbatively. We find a correlated topological Chern insulator for weak interactions and a topologically trivial Néel antiferromagnetic insulator for strong interactions. For intermediate interactions, we find that topologically nontrivial Néel antiferromagnetic insulating phases and/or a topologically nontrivial nonmagnetic insulating phase may be stabilized.

11 pages, 12 figures. Published version

References in corpus (24)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator
• Topological Mott Insulators
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Precise quantization of anomalous Hall effect near zero magnetic field
• Variational cluster approach to correlated electron systems in low dimensions
• Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
• Simplified topological invariants for interacting insulators
• Correlation effects in two-dimensional topological insulators
• Mott Physics and Topological Phase Transition in Correlated Dirac Fermions
• Spin Hamiltonian for which the Chiral Spin Liquid is the Exact Ground State
• Time-Reversal-Invariant Hofstadter-Hubbard Model with Ultracold Fermions
• Cellular Dynamical Mean Field Theory for the 1D Extended Hubbard Model
• Interacting Weyl semimetals: characterization via the topological Hamiltonian and its breakdown
• Topological antiferromagnetic phase in a correlated Bernevig-Hughes-Zhang model
• Topological phase transition in a generalized Kane-Mele-Hubbard model: A combined Quantum Monte Carlo and Green's function study
• Topological Invariant and Quantum Spin Models from Magnetic π Fluxes in Correlated Topological Insulators
• Cellular dynamical mean-field theory study of an interacting topological honeycomb lattice model at finite temperature
• Orbital magnetization of correlated electrons with arbitrary band topology
• Topological invariants in interacting Quantum Spin Hall: a Cluster Perturbation Theory approach
• Topological phases of the Kitaev-Hubbard Model at half-filling
• Kane-Mele-Hubbard model on the $\pi$-flux honeycomb lattice
• Short-ranged interaction effects on $Z_2$ topological phase transitions

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• Two-component quantum Hall effects in topological flat bands
• 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
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• Emergent topology and symmetry-breaking order in correlated quench dynamics
• Flat-band ferromagnetism and spin waves in the Haldane-Hubbard model
• Topological Mott transition in a Weyl-Hubbard model with dynamical mean-field theory
• Antiferromagnetic Chern insulator with large charge gap in heavy transition-metal compounds
• Magnon, doublon and quarton excitations in 2D S=1/2 trimerized Heisenberg models
• Quantum cluster approach to the topological invariants in correlated Chern insulators
• Topological property of a $t_{2g}^5$ system with a honeycomb lattice structure
• 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