Abstract
We investigate the propagation of magnetic skyrmions on elastically deformable geometries by employing imaginary time quantum field theory methods. We demonstrate that the Euclidean action of the problem carries information of the elements of the surface space metric, and develop a description of the skyrmion dynamics in terms of a set of collective coordinates. We reveal that novel curvature-driven effects emerge in geometries with non-constant curvature, which explicitly break the translational invariance of flat space. In particular, for a skyrmion stabilized by a curvilinear defect, an inertia term and a pinning potential are generated by the varying curvature, while both of these terms vanish in the flat-space limit.
Highlights
We investigate the propagation of magnetic skyrmions on elastically deformable geometries by employing imaginary time quantum field theory methods
We reveal that curvature-driven effects emerge in geometries with nonconstant curvature, which explicitly break the translational invariance of flat space
The interplay between geometry, condensed matter order, and topology has been a rich source of novel physics throughout many disciplines, including thin magnetic materials [1], superfluid films [2], superconducting nanoshells [3], and nematic liquid crystals [4]
Summary
Alexander Pavlis and Christina Psaroudaki 3,4 1ITCP and CCQCN, Department of Physics, University of Crete, GR-71003 Heraklion, Greece. We investigate the propagation of magnetic skyrmions on elastically deformable geometries by employing imaginary time quantum field theory methods. We demonstrate that the Euclidean action of the problem carries information of the elements of the surface space metric, and develop a description of the skyrmion dynamics in terms of a set of collective coordinates. We reveal that curvature-driven effects emerge in geometries with nonconstant curvature, which explicitly break the translational invariance of flat space. For a skyrmion stabilized by a curvilinear defect, an inertia term and a pinning potential are generated by the varying curvature, while both of these terms vanish in the flat-space limit
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