Topological properties of domain walls in antiferromagnetic topological insulators

Abstract

Motivated by the study of stacking faults in weak topological insulators and the observation of magnetic domain walls in MnBi${}_{2n}$Te${}_{3n+1}$, we explore the topological properties of magnetic domain walls in antiferromagnetic topological insulators. We develop two tight-binding models for two different types of antiferromagnetic topological insulators: the first type obtained by adding antiferromagnetic order to a strong topological insulator, and another built from stacked Chern insulating layers with alternating Chern numbers. Both systems are dual topological insulators, i.e. they are at the same time antiferromagnetic and crystalline topological insulators, but differ by the type of mirror symmetry protecting the crystalline phase: spinful versus spinless. We show that in the spinful case the mirror Chern number is invariant under time reversal and that it changes sign in the spinless case. This influences the properties of the two systems in the presence of a magnetic domain wall, which we model as an interface between two regions of opposite magnetization. In the first type, the bulk of the magnetic domain wall is gapped but the defect will host chiral edge states when it ends on an external ferromagnetic surface. In the second, due to the change in the sign of the mirror Chern number, the magnetic domain wall is a two-dimensional embedded semimetal with 2D gapless states protected by mirror symmetry. Our results show that magnetic domain walls can be a source of non-trivial topology, allowing to generate and manipulate gapless states within the bulk and the ferromagnetic surfaces of antiferromagnetic topological insulators.

References in corpus (24)

• Topological Crystalline Insulators
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Trajectory of Anomalous Hall Effect toward the Quantized State in a Ferromagnetic Topological Insulator
• Antiferromagnetic topological insulators
• Progress and prospects in magnetic topological materials
• Helical Metal Inside a Topological Band Insulator
• Topological Weyl semimetals in the chiral antiferromagnetic materials Mn3Ge and Mn3Sn
• Layer Hall effect in a 2D topological Axion antiferromagnet
• Robust A-type order and spin-flop transition on the surface of the antiferromagnetic topological insulator MnBi${}_2$Te${}_4$
• Topological magnetic materials of the (MnSb${}_2$Te${}_4$)$\cdot$(Sb${}_2$Te${}_3$)${}_n$ van der Waals compounds family
• Topological Weyl Altermagnetism in CrSb
• Quantum Anomalous Layer Hall Effect in the Topological Magnet MnBi2Te4
• Intrinsic Magnetic Topological Materials
• Engineering magnetic topological insulators in Eu${}_5{M}_2{X}_6$ Zintls
• Controlling a quantum point junction on the surface of an antiferromagnetic topological insulator
• Observation of magnetism induced topological edge state in antiferromagnetic topological insulator MnBi4Te7
• Direct visualization of surface spin-flip transition in MnBi4Te7
• Layer Zero-Line Modes in Antiferromagnetic Topological Insulators
• Large-Gap Quantum Anomalous Hall Insulators in $A$Ti$X$ Class
• Spectral features of magnetic domain walls on surface of 3D topological insulators
• Magnetic warping in topological insulators
• Embedded Topological Semimetals
• Exploring Intrinsic Magnetic Topological Insulators: The Case of EuIn${}_2$As${}_2$