Fractional Skyrmion molecules in a ℂPN−1 model
Yutaka Akagi, Yuki Amari, Sven Bjarke Gudnason, Muneto Nitta, Yakov Shnir
Abstract
A bstract We study fractional Skyrmions in a ℂ P 2 baby Skyrme model with a generalization of the easy-plane potential. By numerical methods, we find stable, metastable, and unstable solutions taking the shapes of molecules. Various solutions possess discrete symmetries, and the origin of those symmetries are traced back to congruencies of the fields in homogeneous coordinates on ℂ P 2 .
Topics & Concepts
Homogeneous spaceSkyrmionMetastabilityGeneralizationHomogeneousPhysicsMoleculeMathematical physicsPlane (geometry)MathematicsMathematical analysisClassical mechanicsGeometryStatistical physicsCondensed matter physicsQuantum mechanicsCold Atom Physics and Bose-Einstein CondensatesFractional Differential Equations SolutionsQuantum chaos and dynamical systems