Topological magnon bands for magnonics

Abstract

Topological excitations in magnetically ordered systems have attracted much attention lately. We report on topological magnon bands in ferromagnetic Shastry-Sutherland lattices whose edge modes can be put to use in magnonic devices. The synergy of Dzyaloshinskii-Moriya interactions and geometrical frustration is responsible for the topologically non-trivial character. Using exact spin wave theory we determine the finite Chern numbers of the magnon bands which give rise to chiral edge states. The quadratic band crossing point vanishes due the present anisotropies and the system enters a topological phase. We calculate the thermal Hall conductivity as an experimental signature of the topological phase. Different promising compounds are discussed as possible physical realizations of ferromagnetic Shastry-Sutherland lattices hosting the required antisymmetric Dzyaloshinskii-Moriya interactions. Routes to applications in magnonics are pointed out.

6 pages including 4 figures and 2 pages supplement including 1 figure

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• All-electrical Magnon Transport Experiments in Magnetically Ordered Insulators
• Evidence of Magnon-Mediated Orbital Magnetism in a Quasi-2D Topological Magnon Insulator
• Topological Hybrids of Magnons and Magnon Bound Pairs
• Thermal Hall effect incorporating magnon damping in localized spin systems
• Topological spin torque emerging in classical-spin systems with different time scales
• The topological magnon bands in the Flux state in Sashtry-Sutherland lattice
• Weyl-triplons in SrCu2(BO3)2
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• Single crystal synthesis and magnetic properties of a Shastry-Sutherland lattice compound BaNd2ZnS5
• Topological magnons in one-dimensional ferromagnetic Su-Schrieffer-Heeger model with anisotropic interaction
• Flat-band ferromagnetism and spin waves in the Haldane-Hubbard model
• Time-dependent strain-tuning topological magnon phase transition
• Thermal Hall conductivity of a valence bond solid phase in the square lattice $J_1$-$J_2$ antiferromagnet Heisenberg model with a Dzyaloshinskii-Moriya interaction
• Plasmons in Z2 Topological Insulators
• Symmetry-based classification of exact flat bands in single and bilayer moiré systems
• Transversal transport of magnons in a modified Lieb lattice
• Magnon topology driven by altermagnetism
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
• Classification of magnon thermal Hall systems based on U(1) to non-Abelian gauge fields
• Magnon edge states of skyrmion crystal in non-uniform magnetic field
• Control of Plasmons in Doped Topological Insulators via Basis Atoms