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arXiv · 2412.20336

Moduli spaces and breather dynamics of analytic solutions in Heisenberg exchange-free chiral magnets

Bruno Barton-Singer·Stefano Bolognesi·Sven Bjarke Gudnason·Roberto Menta
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Abstract

We investigate the special case of the chiral magnet with vanishing Heisenberg exchange energy, whose axisymmetric Skyrmion solution has previously been found. The dynamical equations of this model look like inviscid fluid flow, and by investigating path lines of this flow we can construct explicit static and dynamic solutions. We find an infinite-dimensional family of static Skyrmions that are related to the axisymmetric Skyrmion by co-ordinate transformations thus discovering a new moduli space, and further infinite-dimensional families of axisymmetric and non-axisymmetric breather-like supercompactons.

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Bruno Barton-Singer, Stefano Bolognesi, Sven Bjarke Gudnason, Roberto Menta. 2024-12-29. Moduli spaces and breather dynamics of analytic solutions in Heisenberg exchange-free chiral magnets. https://doi.org/10.1063/5.0257611

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