Periodic skyrmionic textures via conformal cartographic projections
arXiv:2310.08964 · doi:10.1063/5.0230959
Abstract
We find periodic skyrmionic textures via conformal cartographic projections that map either an entire spherical parameter space or a hemisphere onto every regular polygon that provides regular tessellations of the plane. These textures minimize the energy inherent to the mapping and preserve the sign of the Skyrme density throughout the entire space. We show that 2D spinor fields (e.g., 2D polarization) that present periodic textures preserving the sign of the Skyrme density, unavoidably exhibit zeros. We implement these textures in the polarization state of a laser beam.
References in corpus (13)
- Beyond skyrmions: Review and perspectives of alternative magnetic quasiparticles
- Optical skyrmions in evanescent electromagnetic fields
- Deep-subwavelength features of photonic skyrmions in a confined electromagnetic field with orbital angular momentum
- Optical skyrmions and other topological quasiparticles of light
- Generation of tunable optical skyrmions on Skyrme-Poincaré sphere
- Paraxial Skyrmionic beams
- Particle-like topologies in light
- Photonic spin lattices: symmetry constraints for skyrmion and meron topologies
- Twist of generalized skyrmions and spin vortices in a polariton superfluid
- Birefringent Fourier filtering for single molecule Coordinate and Height super-resolution Imaging with Dithering and Orientation
- Observation of polarization singularities and topological textures in sound waves
- Topologically controlled multiskyrmions in photonic gradient-index lenses
- 4D topological textures in light