Progress and prospects in magnetic topological materials

Abstract

Magnetic topological materials represent a class of compounds whose properties are strongly influenced by the topology of the electronic wavefunctions coupled with the magnetic spin configuration. Such materials can support chiral electronic channels of perfect conduction, and can be used for an array of applications from information storage and control to dissipationless spin and charge transport. Here, we review the theoretical and experimental progress achieved in the field of magnetic topological materials beginning with the theoretical prediction of the Quantum Anomalous Hall Effect without Landau levels, and leading to the recent discoveries of magnetic Weyl semimetals and antiferromagnetic topological insulators. We outline the recent theoretical progress that resulted in the tabulation, for the first time, of all magnetic symmetry group representations and topology. We describe several experiments realizing Chern insulators, Weyl and Dirac magnetic semimetals, and an array of axionic and higher-order topological phases of matter as well as survey future perspectives.

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• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Topological Insulators with Inversion Symmetry
• Topological Field Theory of Time-Reversal Invariant Insulators
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator
• Trajectory of Anomalous Hall Effect toward the Quantized State in a Ferromagnetic Topological Insulator
• Antiferromagnetic topological insulators
• Discovery of a quantum limit Chern magnet TbMn6Sn6
• The development of ferromagnetism in the doped topological insulator Bi2-xMnxTe3
• Negative flat band magnetism in a spin-orbit coupled correlated kagome magnet
• Topological Weyl semimetals in the chiral antiferromagnetic materials Mn3Ge and Mn3Sn
• Non-collinear Antiferromagnets and the Anomalous Hall Effect
• Higher-order Topology of Axion Insulator EuIn${}_2$As${}_2$
• Crystal growth and magnetic structure of MnBi2Te4
• Surface State Magnetization and Chiral Edge States on Topological Insulators
• Imaging Dirac-Mass Disorder from Magnetic Dopant-Atoms in the Ferromagnetic Topological Insulator Cr${}_x$(Bi${}_{0.1}$Sb${}_{0.9}$)${}_{2-x}$Te${}_3$
• Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
• New classes of topological crystalline insulators with unpinned surface Dirac cones
• Topological Magnetic Phase in the Candidate Weyl Semimetal CeAlGe
• Large-gap magnetic topological heterostructure formed by subsurface incorporation of a ferromagnetic layer
• Large anomalous Nernst effect in a van der Waals ferromagnet Fe${}_3$GeTe${}_2$
• Large anomalous Hall effect in ferromagnetic insulator-topological insulator heterostructures
• Graph Theory Data for Topological Quantum Chemistry
• A Single Pair of Weyl Fermions in Half-metallic EuCd2As2 Semimetal
• Anomalous Hall Effect in Kagome Ferrimagnet GdMn${}_6$Sn${}_6$
• Observation of Weyl fermions in a magnetic non-centrosymmetric crystal
• Direct determination of the spin structure of Nd${}_2$Ir${}_2$O${}_7$ by means of neutron diffraction
• Signature of band inversion in the antiferromagnetic phase of axion insulator candidate EuIn2As2
• Spectroscopic perspective on the interplay between electronic and magnetic properties of magnetically doped topological insulators
• A gap-protected zero-Hall effect state in the quantum limit of the nonsymmorphic metal KHgSb