Critical currents in Josephson junctions with unconventional pairing symmetry:: dx2-y2+is versus dx2-y2+idxy -: art. no. 024527

Phenomenological Ginzburg-Landau theory is used to calculate the possible spontaneous vortex states that may exist at corner junctions of d(x)2(-y)2 + ix-wave (where x = s or x = d(xy)) and s-wave superconductors. We study the magnetic flux and the critical current modulation with the junction orientation angle theta, the magnitude of the order parameter, and the magnetic field H. It is seen that the critical current I-c versus the magnetic flux Phi relation is symmetric/asymmetric for x=d(xy)/s when the orientation is exactly such that the lobes of the dominant d(x)2(-y)2-wave order parameter points towards the two junctions, which are at right angles for the corner junction. The conclusion is that a measurement of the I-c(Phi) relation may distinguish which symmetry (d(x)2(-y)2 + is or d(x)2(-y)2 + id(xy)) the order parameter has.