This work describes topological magnon transport in zigzag ${\mathrm{CrI}}_3$ nanoribbons in the presence of edge strain. Exchange coupling terms under strain are obtained from first-principles calculations and the topological properties are introduced via second-neighbor Dzyaloshinskii-Moriya interactions (DMI). The magnon Hamiltonian is calculated using linear spin-wave theory and the Holstein-Primakoff transformation. Then, we use the nonequilibrium Green's function method to calculate the spin-wave-generated currents in ribbons with different edge strain. Our calculations show the formation of strongly localized edge topological magnons within the gap for DMI values slightly higher than the ones reported experimentally and in the presence of a tensile edge strain of the order of 3%. The magnon-mediated topological spin transport calculations show an increase of the spin current and characteristic decay length in tensile-strained ${\mathrm{CrI}}_3$ nanoribbons compared with unstrained ones. Our findings demonstrate that straintronics provides a powerful route to harness and control topological magnons in two-dimensional magnetic materials.

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• Edge states
• Ferromagnetism
• Magnonics
• Magnons
• Spintronics
• 2-dimensional systems
• First-principles calculations