Axionic Antiferromagnetic Insulator Phase in a Correlated and Spin-Orbit Coupled System

Abstract

We study theoretically a three-dimensional correlated and spin-orbit coupled system, the half-filled extended Fu-Kane-Mele-Hubbard model on a diamond lattice, focusing on the topological magnetoelectric response of the antiferromagnetic insulator phase. In the antiferromagnetic insulator phase, the Dirac-like low-energy effective Hamiltonian is obtained. Then the theta term, which results in the magnetoelectric response, is derived as a consequence of the chiral anomaly. The realization of the dynamical axion field in our model is discussed. The relation with a symmetry broken phase induced by interactions in lattice quantum chromodynamics is also discussed.

7 pages, 2 figures

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• Topological Field Theory of Time-Reversal Invariant Insulators
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Cited by in corpus (15)

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• A Proposal to Detect Dark Matter Using Axionic Topological Antiferromagnets
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• Chiral Magnetic Effect and Anomalous Hall Effect in Antiferromagnetic Insulators with Spin-Orbit Coupling
• Dynamical axion state with hidden pseudospin Chern numbers in MnBi${}_2$Te${}_4$-based heterostructures
• Chiral magnetic conductivity in an interacting lattice model of parity-breaking Weyl semimetal
• Axion/Hidden-Photon Dark Matter Conversion into Condensed Matter Axion
• Electric-Field-Induced Spin Resonance in Antiferromagnetic Insulators: Inverse Process of the Dynamical Chiral Magnetic Effect
• Axion instability and non-linear electromagnetic effect
• Fractional Electromagnetic Response in Three-Dimensional Chiral Anomalous Semimetal
• Field-induced multiple metal-insulator crossovers of correlated Dirac electrons of perovskite CaIrO${}_3$
• Kondo effect with Wilson fermions
• Chiral Gravitomagnetic Effect in Topological Superconductors and Superfluids
• Axion mass in antiferromagnetic insulators
• Topology-insensitive axion mass in magnetic topological insulators