Core structure of static ferrodark solitons in a spin-1 Bose-Einstein condensate

Abstract

We develop an analytical description of static ferrodark solitons in the easy-plane phase of ferromagnetic spin-1 Bose-Einstein condensates. We find that the type-I ferrodark soliton has a single width while the type-II ferrodark soliton exhibits two characteristic length scales. The proposed ansatzes show excellent agreement with numerical results. We demonstrate that the ferrodark solitons are the lowest energy transverse magnetic kinks that connect the oppositely magnetized magnetic domains. Spin-singlet amplitudes, nematic tensor densities and nematic currents of ferrodark solitons are also discussed.