54 citations · 151 across the 15 of their papers we have counts for
15 papers
Cartan connections for an infinite family of integrable vortices
Sven Bjarke Gudnason, Calum Ross
An infinite family of integrable vortex equations is studied and related to the Cartan geometry of the underlying Riemann surfaces. This Cartan picture gives an interpretation of t…
Vortex Harmonic Spinors on the Nappi-Witten Space
Calum Ross, Raúl Sánchez Galán
We establish a correspondence between vortex equations on flat Riemann surfaces and harmonic spinors on the Nappi--Witten space, the group manifold of a central extension of the Eu…
Interactions of composite magnetic skyrmion-superconducting vortex pairs in ferromagnetic superconductors
Paul Leask, Calum Ross, Egor Babaev
We study composite topological excitations in ferromagnetic superconductors consisting of bound states of magnetic spin textures (skyrmions) and superconducting vortices. Using a G…
Domain-wall skyrmion chain and domain-wall bimerons in chiral magnets
Yuki Amari, Calum Ross, Muneto Nitta
We construct domain-wall skyrmion chains and domain-wall bimerons in chiral magnets with an out-of-plane easy-axis anisotropy and without a Zeeman term coupling to a magnetic field…
The Asymptotic Structure of the Centred Hyperbolic 2-Monopole Moduli Space
Guido Franchetti, Calum Ross
We construct an asymptotic metric on the moduli space of two centred hyperbolic monopoles by working in the point particle approximation, that is treating well-separated monopoles…
Calorons and constituent monopoles
Lorenzo Foscolo, Calum Ross
We study anti-self-dual Yang-Mills instantons on , also known as calorons, and their behaviour under collapse of the circle factor. In this limit, we ma…
Domain Wall Skyrmions in Chiral Magnets
Calum Ross, Muneto Nitta
Domain wall skyrmions are skyrmions trapped inside a domain wall. We investigate domain wall skyrmions in chiral magnets using a fully analytic approach. Treating the Dzyaloshinski…
Cartan Connections and Integrable Vortex Equations
Calum Ross
We demonstrate that integrable abelian vortex equations on constant curvature Riemann surfaces can be reinterpreted as flat non-abelian Cartan connections. By lifting to three dime…
Magnetic Impurities, Integrable Vortices and the Toda Equation
Sven Bjarke Gudnason, Calum Ross
The five integrable vortex equations, recently studied by Manton, are generalized to include magnetic impurities of the Tong-Wong type. Under certain conditions these generalizatio…
Exact Ground States and Domain Walls in One Dimensional Chiral Magnets
Calum Ross, Norisuke Sakai, Muneto Nitta
We determine exactly the phase structure of a chiral magnet in one spatial dimension with the Dzyaloshinskii-Moriya (DM) interaction and a potential that is a function of the third…
Skyrmion interactions and lattices in chiral magnets: analytical results
Calum Ross, Norisuke Sakai, Muneto Nitta
We study two-body interactions of magnetic skyrmions on the plane and apply them to a (mostly) analytic description of a skyrmion lattice. This is done in the context of the solvab…
Magnetic Skyrmions at Critical Coupling
Bruno Barton-Singer, Calum Ross, Bernd J Schroers
We introduce a family of models for magnetic skyrmions in the plane for which infinitely many solutions can be given explicitly. The energy defining the models is bounded below by…
Comparison and pure infiniteness of crossed products
Xin Ma
Let be a continuous action of an infinite countable group on a compact Hausdorff space. We show that, under the hypothesis that the action is topologic…
Hyperbolic vortices and Dirac fields in 2+1 dimensions
Calum Ross, Bernd Schroers
Starting from the geometrical interpretation of integrable vortices on two-dimensional hyperbolic space as conical singularities, we explain how this picture can be expressed in th…
Magnetic Zero-Modes, Vortices and Cartan Geometry
Calum Ross, Bernd Schroers
We show that magnetic zero-modes of the Dirac operator on which obey an additional non-linear equation are closely related to vortex configurations on the 2-sphere,…