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arXiv · 1812.03738

Topologically nontrivial magnonic solitons

Mehrdad Elyasi·Koji Sato·Gerrit E. W. Bauer
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Abstract

The intrinsic non-linearities of the spin dynamics in condensed matter systems give rise to a rich phenomenology that can be strongly affected by topology. Here we study formation of magnonic solitons in the topologically nontrivial bandgap of a spin lattice realization of the Haldane model, in both static and dynamic (Floquet) regimes. We consider nonlinearities caused by magnetic crystalline anisotropy and magnon-magnon interactions. We find soliton formation power thresholds as a function of anisotropy coefficient and interaction strength. We predict different classes of topological solitons for the same topological class of the underlying lattice and explain it in terms of a transition from a topologically nontrivial mass to a trivial one. Our findings imply that a soliton can phase-separate, containing boundaries between topologically trivial and non-trivial phases, which is associated with a vanishing spin wave gap.

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Mehrdad Elyasi, Koji Sato, Gerrit E. W. Bauer. 2019-03-26. Topologically nontrivial magnonic solitons. https://doi.org/10.1103/physrevb.99.134402

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