Nonabelian magnonics in antiferromagnets

Abstract

We present a semiclassical formalism for antiferromagnetic (AFM) magnonics which promotes the central ingredient of spin wave chirality, encoded in a quantity called magnonic isospin, to a first-class citizen of the theory. We use this formalism to unify results of interest from the field under a single chirality-centric formulation. Our main result is that the isospin is governed by unitary time evolution, through a Hamiltonian projected down from the full spin wave dynamics. Because isospin is SU(2)-valued, its dynamics on the Bloch sphere are precisely rotations - which, in general, do not commute. Consequently, the induced group of operations on AFM spin waves is nonabelian. This is a paradigmatic departure from ferromagnetic magnonics, which operates purely within the abelian group generated by spin wave phase and amplitude. Our investigation of this nonabelian magnonics in AFM insulators focuses on studying several simple gate operations, and offering in broad strokes a program of study for interesting new logic families in antiferromagnetic spin wave systems

21 pages including appendix, 6 figures

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• Observation of Antiferromagnetic Magnon Pseudospin Dynamics and the Hanle effect
• Purely magnetic logic based on polarized spin waves
• Perspective: non-Hermitian physics in magnetic systems
• Switching magnon chirality in artificial antiferromagnet
• Topological spin Hall effects and tunable skyrmion Hall effects in uniaxial antiferromagnetic insulators
• Antiferromagnetic magnon pseudospin: Dynamics and diffusive transport
• Observation of nonreciprocal magnon Hanle effect
• Skew scattering and side jump of spin wave across magnetic texture
• Magnon driven skyrmion dynamics in antiferromagnets: The effect of magnon polarization
• Modelling spin waves in noncollinear antiferromagnets: spin-flop states, spin spirals, skyrmions and antiskyrmions
• Excitation of magnon spin photocurrents in antiferromagnetic insulators
• Laser control of magnonic topological phases in antiferromagnets
• Spin-wave-driven skyrmion dynamics in ferrimagnets: Effect of net angular momentum
• All-electrical Magnon Transport Experiments in Magnetically Ordered Insulators
• Non-classical spin transfer effects in an antiferromagnet
• Magnon Landau Levels and Spin Responses in Antiferromagnets
• Non-linear magnon transport in a bilayer van der Waals antiferromagnets
• Anti-helical edge magnons in patterned antiferromagnetic thin film
• Impact of magnetic anisotropy on the magnon Hanle effect in $\alpha$-Fe${}_2$O${}_3$
• Spin Wave Driven Skyrmions in a Bipartite Antiferromagnetic Lattice
• Topological Aspects of Antiferromagnets
• Influence of low-energy magnons on magnon Hanle experiments in easy-plane antiferromagnets
• Observation of Dyakonov-Perel-type magnon spin relaxation in uniaxial antiferromagnetic insulators
• Current-Induced Spin-Wave Doppler Shift in Antiferromagnets
• Chiral Magnon Mixing by Symmetry-Breaking in Collinear Ferrimagnets