Anisotropy of Upper Critical Fields for d- and p-Wave Pairing Superconductivity

Based on the Ginzburg-Landau theory the angular dependence of the upper critical field H c2 for d-wave and p-wave superconductivity is derived for crystals with cubic and tetragonal symmetry. The anisotropy of H c2 can be large in some cases, depending upon the dimensionality of the irreducible representation and the number of the gradient invariant terms. It is concluded that the experiment to measure the anisotropy of H c2 might be a useful means to distinguish p-wave and d-wave pairing from s-wave pairing superconductivity.