Vortex structure in a thin film of an unconventional superconductor

In bulk, an unconventional superconductor with two components of the order parameter can have the anisotropic internal vortex structure, since it is possible for the two components to have their own cores at different places. In a thin film there is a critical thickness d(c) for such vortices where the first critical magnetic field H-c1 has an anomaly. The vortex below the critical thickness is fractionally quantized where the core of one component of the order parameter is pushed out from the surface. The zero supercurrent at one point on the surface is a characteristic of the fractionally quantized vortex.