Abstract
Magnetic topological materials represent a class of compounds with properties that are strongly infuenced by the topology of their electronic wavefunctions coupled with the magnetic spin confguration. 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 feld of magnetic topological materials, beginning with the theoretical prediction of the quantum anomalous Hall efect without Landau levels, and leading to the recent discoveries of magnetic Weyl semimetals and antiferromagnetic topological insulators. We outline recent theoretical progress that has resulted in the tabulation of, for the frst time, 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, and we survey future perspectives.
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