Antiferromagnetic topological insulator state in the correlated Bernevig-Hughes-Zhang model

Abstract

We study the effects of electron correlations on the topological phase transition in the Bernevig-Hughes-Zhang model using the variational cluster approach where the short-range spatial correlations are taken into account exactly. We calculate the spin Chern number and local magnetic moment to show that the topologically nontrivial antiferromagnetic order exists and that the magnetic transition is of the second order. We furthermore demonstrate that under the spin-quantized condition the topological phase transition is caused by the closing of the bulk band gap.

7 pages, 8 figures

References in corpus (19)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulators with Inversion Symmetry
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Crystalline Insulators
• Antiferromagnetic topological insulators
• Quantum Spin Hall Effect and Enhanced Magnetic Response by Spin-Orbit Coupling
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• Variational cluster approach to correlated electron systems in low dimensions
• Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
• Mott Physics and Topological Phase Transition in Correlated Dirac Fermions
• Self-energy-functional approach: Analytical results and the Mott-Hubbard transition
• Topological aspects of quantum spin Hall effect in graphene: Z${}_2$ topological order and spin Chern number
• Mott Physics on Helical Edges of 2D Topological Insulators
• Topological antiferromagnetic phase in a correlated Bernevig-Hughes-Zhang model
• Dynamical Mean Field Study of The Dirac Liquid
• Finite temperature semimetal-insulator transition on the honeycomb lattice

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• Nature of continuous phase transitions in interacting topological insulators
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• First and second-order metal-insulator phase transitions and topological aspects of a Hubbard-Rashba system
• Edge Reconstruction in a Quantum Spin Hall Insulator