Engineering axion insulator phase in superlattices with inversion symmetry breaking

Abstract

We study theoretically the interplay between magnetism and topology in three-dimensional HgTe/MnTe superlattices stacked along the (001) axis. Our results show the evolution of the magnetic topological phases with respect to the magnetic configurations. An axion insulator phase is observed for the antiferromagnetic order with the out-of-plane Néel vector direction below a critical thickness of MnTe, which is the ground state amongst all magnetic configurations. Defining $T$ as the time-reversal symmetry, this axion insulator phase is protected by a magnetic two-fold rotational symmetry $C_2\cdot T$. The axion insulator phase evolves into a trivial insulator as we increase the thickness of the magnetic layers. By switching the Néel vector direction into the $ab$ plane, the system realizes different antiferromagnetic topological insulators depending on the thickness of MnTe. These phases feature gapless surface Dirac cones shifted away from high-symmetry points on surfaces perpendicular to the Néel vector direction of the magnetic layers. In the presence of ferromagnetism, the system realizes a magnetic Weyl semimetal and a ferromagnetic semimetal for out-of-plane and in-plane magnetization directions, respectively. We observe large anomalous Hall conductivity in the presence of ferromagnetism in the three-dimensional superlattice.

arXiv comment14 pages, 13 figures

References in corpus (58)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Wannier90: A Tool for Obtaining Maximally-Localised Wannier Functions
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• WannierTools: An open-source software package for novel topological materials
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Colloquium: Topological Band Theory
• Intrinsic magnetic topological insulators in van der Waals layered MnBi${}_2$Te${}_4$-family materials
• Topological axion states in magnetic insulator MnBi${}_2$Te${}_4$ with the quantized magnetoelectric effect
• Robust axion insulator and Chern insulator phases in a two-dimensional antiferromagnetic topological insulator
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• Colloquium: Quantum anomalous Hall effect
• Progress and prospects in magnetic topological materials
• Layer Hall effect in a 2D topological Axion antiferromagnet
• Triple Point Topological Metals
• Large magnetic gap at the Dirac point in a Mn-induced Bi${}_2$Te${}_3$ heterostructure
• Symmetry-protected ideal Weyl semimetal in HgTe-class materials
• Axion Electrodynamics in Topological Materials
• Variety of magnetic topological phases in the (MnBi${}_2$Te${}_4$)(Bi${}_2$Te${}_3$)${}_m$ family
• Theoretical prediction of magnetic and noncentrosymmetric Weyl fermion semimetal states in the R-Al-X family of compounds (R=rare earth, Al=aluminium, X=Si, Ge)
• Realization of an intrinsic, ferromagnetic topological state in MnBi8Te13
• Surfaces of Axion Insulators
• Ideal Weyl semimetals in the chalcopyrites CuTlSe2, AgTlTe2, AuTlTe2 and ZnPbAs2
• Experimental signature of parity anomaly in semi-magnetic topological insulator
• Helical Fermi arcs and surface states in time-reversal invariant Weyl semimetals
• Magnetic anisotropy in antiferromagnetic hexagonal MnTe
• Intrinsic axion insulating behavior in antiferromagnetic MnBi${}_6$Te${}_{10}$
• Berry phase engineering at oxide interfaces
• Magnetic crystalline-symmetry-protected axion electrodynamics and field-tunable unpinned Dirac cones in EuIn2As2
• Scaling of the Quantum Anomalous Hall Effect as an Indicator of Axion Electrodynamics
• Aggregation and magnetism of Cr, Mn, and Fe cations in GaN
• On the matter of topological insulators as magnetoelectrics
• Weak Topological Insulators in PbTe/SnTe Superlattices
• Any Axion Insulator Must be a Bulk Three-Dimensional Topological Insulator
• Routes to realize the axion-insulator phase in MnBi${}_2$Te${}_4$(Bi${}_2$Te${}_3$)${}_n$ family: a perspective
• Axion coupling in the hybrid Wannier representation
• Emergent quantum Hall effects below $50$ mT in a two-dimensional topological insulator
• Coupling charge and topological reconstructions at polar oxide interfaces
• Exchange interactions of CaMnO3 in the bulk and at the surface
• Unidirectional Magnetoresistance in Antiferromagnet/Heavy-metal bilayers
• Momentum-resolved spin splitting in Mn-doped trivial CdTe and topological HgTe semiconductors
• Interplay of Dirac nodes and Volkov-Pankratov surface states in compressively strained HgTe
• Electronic properties of TaAs2 topological semimetal investigated by transport and ARPES
• Perspectives of HgTe Topological Insulators for Quantum Hall Metrology
• Realization of the Chern insulator and Axion insulator phases in antiferromagnetic $MnTe$-$B{i}_2(Se,Te{)}_3$-$MnTe$ heterostructures
• Superexchange dominates in magnetic topological insulators
• Effects of charge dopants in quantum spin Hall materials
• Topological states in superlattices of HgTe-class materials for engineering three-dimensional flat bands
• Non-local sidewall response and deviation from exact quantization of the topological magnetoelectric effect in axion-insulator thin films
• Quantitative theory of backscattering in topological HgTe and (Hg,Mn)Te quantum wells: acceptor states, Kondo effect, precessional dephasing, and bound magnetic polaron
• Surface-state spin textures in strained bulk HgTe: strain-induced topological phase transitions
• Intra-chain collinear magnetism and inter-chain magnetic phases in Cr3As3-K-based materials
• One-dimensional Dirac electrons on the surface of weak topological insulators
• Spin, orbital and topological order in models of strongly correlated electrons
• Anomalous Hall effect in antiferromagnetic/non-magnetic interfaces
• Absence of helical surface states in bulk semimetals with broken inversion symmetry
• Tuning interchain ferromagnetic instability in A2Cr3As3 ternary arsenides by chemical pressure and uniaxial strain
• Unprotected edge modes in quantum spin Hall insulator candidate materials
• Splitting of Dirac cones in HgTe quantum wells: Effects of crystallographic orientation, interface-, bulk-, and structure-inversion asymmetry

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