Structure of a single vortex for a hypothetical p-wave and f-wave superconducting state in Sr₂RuO₄

We have calculated the structure of an isolated vortex line near H_c1 on the basis of the Ginzburg-Landau functional for planar Anderson-Brinkman-Morel (ABM) superconducting states of Sr₂RuO₄. For a nodeless p-wave ABM state and a circular Fermi surface we find the same solution as for s-wave pairing. For tetragonal deformation of the Fermi surface with anisotropy parameter ν (ν=5/13 for a square) we obtain an additional uniaxial vortex of opposite phase φ within the core region. This yields a small correction of the current density j_φ and the magnetic field, which are proportional to cos(4φ). For a nodal f-wave ABM state that is more consistent with recent experiments we obtain analogous results with an effective ν=1/2 for a circular Fermi surface.