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arXiv · 2210.07757

Transversal transport of magnons in a modified Lieb lattice

P. G. de Oliveira·A. S. T. Pires
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Abstract

We studied a two-band magnon insulating model whose geometry is that of a modified Lieb lattice in which one of the sites was removed. Anisotropic ferromagnetic exchange interactions exist between the three nearest neighbors, and the anisotropy opens a gap in the magnon energy band structure. A non-vanishing Berry curvature is induced by a Dzyaloshinskii-Moriya interaction (DMI). The topology of the bands is trivial (in the sense of a null Chern number), but the finite Berry curvature induces Hall-like transport effects whose coefficients were calculated. Their dependence on temperature was studied and shows a resemblance with other magnon insulating systems found in the literature. The dependence on exchange couplings, DMI parameter, and external magnetic field was also investigated.

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P. G. de Oliveira, A. S. T. Pires. 2022-10-14. Transversal transport of magnons in a modified Lieb lattice. https://doi.org/10.1016/j.physb.2023.414721

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