Effects of short-ranged interactions on the Kane-Mele model without discrete particle-hole symmetry

Abstract

We study the effects of short-ranged interactions on the $Z_2$ topological insulator phase, also known as the quantum spin Hall phase, in the Kane-Mele model at half-filling with staggered potentials which explicitly breaks the discrete particle-hole symmetry. Within Hartree-Fock mean-field analysis, we conclude that the on-site repulsive interactions help stabilize the topological phase (quantum spin Hall) against the staggered potentials by enlarging the regime of the topological phase along the axis of the ratio of the staggered potential strength and the spin-orbit coupling. In sharp contrast, the on-site attractive interactions destabilize the topological phase. We also examine the attractive interaction case by means of the unbiased determinant projector quantum Monte Carlo and the results are qualitatively consistent with the Hartree-Fock picture.

8 pages, 4 figures. Revised version with error corrected

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Cited by in corpus (10)

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• Quantum cluster approach to the spinful Haldane-Hubbard model
• Cellular dynamical mean-field theory study of an interacting topological honeycomb lattice model at finite temperature
• Topological insulator on honeycomb lattices and ribbons without inversion symmetry
• Short-ranged interaction effects on $Z_2$ topological phase transitions
• Phase transitions of the Kane-Mele-Hubbard model with a long-range hopping
• First-order effect of electron-electron interactions on the anomalous Hall conductivity of massive Dirac fermions
• Multitude of phases in correlated lattice fermion systems with spin-dependent disorder
• Short-ranged interaction effects on $Z_2$ topological phase transitions: The perturbative mean-field method
• Comparing the effective enhancement of local and non-local spin-orbit couplings on honeycomb lattices due to strong electronic correlations