Magnonic topological insulators in antiferromagnets

Abstract

Extending the notion of symmetry protected topological phases to insulating antiferromagnets (AFs) described in terms of opposite magnetic dipole moments associated with the magnetic N$\acute{\mathrm{e}}$el order, we establish a bosonic counterpart of topological insulators in semiconductors. Making use of the Aharonov-Casher effect, induced by electric field gradients, we propose a magnonic analog of the quantum spin Hall effect (magnonic QSHE) for edge states that carry helical magnons. We show that such up and down magnons form the same Landau levels and perform cyclotron motion with the same frequency but propagate in opposite direction. The insulating AF becomes characterized by a topological ${\mathbb{Z}}_2$ number consisting of the Chern integer associated with each helical magnon edge state. Focusing on the topological Hall phase for magnons, we study bulk magnon effects such as magnonic spin, thermal, Nernst, and Ettinghausen effects, as well as the thermomagnetic properties of helical magnon transport both in topologically trivial and nontrivial bulk AFs and establish the magnonic Wiedemann-Franz law. We show that our predictions are within experimental reach with current device and measurement techniques.

10+5 pages, 2 figures, 1 table; updated into accepted version in Phys. Rev. B

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Cited by in corpus (13)

• Magnon transport in quasi-two-dimensional van der Waals antiferromagnets
• Topological Magnons and Edge States in Antiferromagnetic Skyrmion Crystals
• Moiré magnons in twisted bilayer magnets with collinear order
• Spin caloritronics in a CrBr${}_3$-based magnetic van der Waals heterostructure
• Topological magnetic excitations
• Laser control of magnonic topological phases in antiferromagnets
• Magnonic Analogue of Edelstein Effect in Antiferromagnetic Insulators
• Photoinduced Floquet topological magnons in a ferromagnetic checkerboard lattice
• Magnonic thermal transport using the quantum Boltzmann equation
• Violation of the magnonic Wiedemann-Franz law in the strong nonlinear regime
• Optomagnonic Josephson effect in antiferromagnets
• Direct and alternating magnon spin currents across a junction interface irradiated by linearly polarized laser
• Laser induced enhanced coupling between photons and squeezed magnons in antiferromagnets