Nondegenerate and almost hexagonal skyrmion lattices

摘要: We obtain the lowest energy solutions for skymion field equations and their corresponding vortex structures. Two nondegenerate emerge with swirls in opposite directions. The are associated an extremum property, which favors array of almost hexagonal shape. predict that a regular lattice must have mix skyrmions both swirls. Although our could not keep norm magnetization constant at unity, greatest deviation from unity occurred regions where spins far planar; we show how to improve this situation.