5 papers
Shape modes of vortices
Nora Gavrea, Derek Harland, Martin Speight
In this paper we investigate the existence of internal modes of vortices in the gauged sigma model. We develop a clean geometric formalism that highlights the symme…
Demagnetization in micromagnetics: magnetostatic self-interactions of bulk chiral magnetic skyrmions
Paul Leask, Martin Speight
We develop a theoretical and numerical framework for three-dimensional bulk chiral magnets that includes the full magnetostatic dipole-dipole interaction and its back-reaction on t…
Towards a universal phase diagram of planar chiral magnets
Bernd Schroers, Martin Speight, Thomas Winyard
In planar chiral magnets, the competition of the positive definite Heisenberg exchange and Zeeman energies with the indefinite Dzyaloshinskii-Moriya interaction (DMI) energy allows…
Short range intervortex forces
Martin Speight, Thomas Winyard
An explicit formula for the interaction energy of vortices in the abelian Higgs (or Ginzburg-Landau) model is derived, valid in the regime where all vortices are close to one a…
Vortex lattices and critical fields in anisotropic superconductors
Martin Speight, Thomas Winyard
A method is developed to compute minimal energy vortex lattices in a general Ginzburg-Landau model of a superconductor subjected to an applied magnetic field. The model may have an…