We propose emergent time-reversal switching responses in antiferromagnets, which are triggered by an accompanying magnetic toroidal monopole, i.e., a time-reversal odd scalar distinct from electric and magnetic monopoles. We show that simple collinear antiferromagnets exhibit unconventional responses to external electric and/or magnetic fields once magnetic symmetry accommodates the magnetic toroidal monopole. We specifically demonstrate that the emergence of the magnetic toroidal monopole in antiferromagnets enables us to control rotational distortion by an external magnetic field, switch vortex-type antiferromagnetic structure by an external electric field, and convert right-handedness/left-handedness in chirality by a composite electromagnetic field. We also present the symmetry conditions to induce the magnetic toroidal monopole and exhibit candidate materials including noncollinear antiferromagnets in order to stimulate experimental observations.

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• Antiferromagnetism
• Chirality
• Order parameters
• Crystalline systems
• Functional materials
• Multiferroics
• Lattice models in condensed matter
• Symmetries in condensed matter