Vector vortices in p-wave superconductors with arbitrary κ parameter

We have considered vortices in p-wave superconductors with a nonvanishing order parameter in the vortex core for the arbitrary ratio κ = λ/ξ (here λ and ξ are the magnetic length and the coherence length, correspondently). Vector vortices are characterized by an orientation in the order-parameter space, however, spatial profile of both the order parameter and magnetic field of the vortex demonstrate an essential difference of the vortex structure for different κ parameters and from those calculated for the vortex in liquid ³He. We calculate lower critical field H_c1 and find that critical (Formula presented) is independent of the detailed form of interactions. Strong asymmetry of some of the components of the order parameter disappears when κ approaches κ_c. The vortex lattice in the multicomponent superconductor resembles a spin system in which the orientation in the order-parameter space plays the role of “spin.” Interactions between vortices lead to long-range order. An effective theory for this system is proposed.