Curvature-Induced Skyrmion Mass

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.

arXiv comment6 pages, 4 Figures

References in corpus (27)

• Formation of a Matter-Wave Bright Soliton
• Spectroscopy of nanoscopic semiconductor rings
• Grain Boundary Scars and Spherical Crystallography
• Towards a Tetravalent Chemistry of Colloids
• Vortices in Superfluid Films on Curved Surfaces
• Magnetic bistability and controllable reversal of asymmetric ferromagnetic nanorings
• Curvature effects in statics and dynamics of low dimensional magnets
• Anomalous coupling between topological defects and curvature
• The Magnus Force on Skyrmions in Ferromagnets and the Quantum Hall Effect
• Topologically stable magnetization states on a spherical shell: curvature stabilized skyrmions
• Berry's phase and Quantum Dynamics of Ferromagnetic Solitons
• Multiplet of skyrmion states on a curvilinear defect: skyrmion lattices as a ground state
• Micromagnetic Theory of Curvilinear Ferromagnetic Shells
• Magnetochiral symmetry breaking in a Möbius ring
• Curvature induced domain wall pinning
• Reversal mechanism of an individual Ni nanotube simultaneously studied by torque and SQUID magnetometry
• Skyrmions Driven by Intrinsic Magnons
• Geometry-induced motion of magnetic domain walls in curved nanostripes
• Quantum Dynamics of Skyrmions in Chiral Magnets
• Engineered Chiral Skyrmion and Skyrmionium States by the Gradient of Curvature
• On topological spin excitations on a rigid torus
• Stability of skyrmions on curved surfaces in the presence of a magnetic field
• Co-existence of the Meissner and vortex-state on a superconducting spherical shell
• On geometry-dependent vortex stability and topological spin excitations on curved surfaces with cylindrical symmetry
• Localization of magnon modes in a curved magnetic nanowire
• Curvature induced magnonic crystal in nanowires
• Stochastic theory of quantum vortex on a sphere

Cited by in corpus (4)

• Curvature induced drift and deformation of magnetic skyrmions: comparison of ferro- and antiferromagnetic cases
• Skyrmion inertia in synthetic antiferromagnets
• Anisotropic skyrmion mass induced by surrounding conduction electrons: A Schwinger-Keldysh field theory approach
• Skyrmion Lattice Domain Formation in a Non-Flat Energy Landscape