Topological Aspects of Antiferromagnets

Abstract

The long fascination antiferromagnetic materials have exerted on the scientific community over about a century has been entirely renewed recently with the discovery of several unexpected phenomena including various classes of anomalous spin and charge Hall effects and unconventional magnonic transport, but also homochiral magnetic entities such as skyrmions. With these breakthroughs, antiferromagnets standout as a rich playground for the investigation of novel topological behaviors, and as promising candidate materials for disruptive low-power microelectronic applications. Remarkably, the newly discovered phenomena are all related to the topology of the magnetic, electronic or magnonic ground state of the antiferromagnets. This review exposes how non-trivial topology emerges at different levels in antiferromagnets and explores the novel mechanisms that have been discovered recently. We also discuss how novel classes of quantum magnets could enrich the currently expanding field of antiferromagnetic spintronics and how spin transport can in turn favor a better understanding of exotic quantum excitations.

arXiv comment77 pages, 47 figures

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• Antiferromagnetic Topological Nodal Line Semimetals
• Topological magnons with nodal-line and triple-point degeneracies: Implications for thermal Hall effect in pyrochlore iridates
• Noncollinear Antiferromagnetic Haldane Magnon Insulator
• Spin Seebeck and Spin Nernst Effects of Magnons in Noncollinear Antiferromagnetic Insulators
• Model Hamiltonian and Time Reversal Breaking Topological Phases of Anti-ferromagnetic Half-Heusler Materials
• Integer Quantum Magnon Hall Plateau-Plateau Transition in a Spin Ice Model
• Synthesis-Dependent Properties of Barlowite and Zn-Substituted Barlowite
• Enhanced Non-Adiabaticity in Vortex Cores due to the Emergent Hall Effect
• Detect Spinons via Spin Transport
• Quantum Anomalous Hall Effect in Kagome Ice
• Two-dimensional topological superconductivity with antiferromagnetic insulators
• Two-dimensional Massless Dirac Fermions in Antiferromagnetic AFe2As2 (A = Ba, Sr)
• Spin Hall and Nernst effects of Weyl magnons
• Study of the topological Hall effect on simple models
• Spin Nernst effect in the Paramagnetic Regime of An Antiferromagnetic Insulator
• Probing excitations in insulators via injection of spin-currents
• Negative longitudinal magnetoresistance as a sign of a possible chiral magnetic anomaly in the half-Heusler antiferromagnet DyPdBi
• Magnonic Weyl states in Cu2OSeO3
• Edge magnetization and spin transport in an SU(2)-symmetric Kitaev spin liquid
• Topological Magnetic Excitations on the Distorted Kagome Antiferromagnets: Applications to Volborthite, Vesignieite, and Edwardsite
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• Field-induced pseudo-skyrmion phase in the antiferromagnetic kagome lattice
• Quantum Hall ice
• Anomalous Hall Effect due to Non-collinearily in Pyrochlore Compounds: Role of Orbital Aharonov-Bohm Effect
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• Topological Gapless Phases in Non-Symmorphic Antiferromagnets
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• Topological crystalline antiferromagnetic state in tetragonal FeS
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• Magnon gravitomagnetoelectric effect in noncentrosymmetric antiferromagnetic insulators
• Effect of Quantum Spin Fluctuation on Scalar Chiral Ordering in the Kondo Lattice Model on a Triangular Lattice
• Voltage induced switching of an antiferromagnetically ordered topological Dirac semimetal
• Quantum internal modes of solitons in 1d easy-plane antiferromagnet in strong magnetic field
• Topological phase transition and nontrivial thermal Hall signatures in honeycomb lattice magnets