VORTEX STATE IN UNCONVENTIONAL JUNCTIONS OF SUPERCONDUCTORS WITH D+ISSYMMETRY

Based on the Ginzburg-Landau theory, we derive a general current expre ssion for a Josephson junction made of two superconductors with order parameters of different mixing of d-wave and s-wave symmetry. It is fo und that the characteristic phase phi(c) occurring in the current-phas e relation is crucially determined by the two-component order-paramete r configuration. By solving the sine-Gordon equation constructed from this expression, we study the static properties of a frustrated Joseph son junction consisting of two junctions with characteristic phases ph i(c1) and phi(c2). In the short junction limit, the order-parameter sy mmetry can manifest in the diffraction pattern of the critical current passing through the junction. In the long junction limit, we show tha t a spontaneous vortex with the flux Phi(0)[1 - (phi(c2)-phi(c1))/2 pi ] is induced near the center of the junction. As a result, the interfe rence pattern of the critical currents versus an applied magnetic fiel d is insensitive to the order-parameter profile. These analyses could be used to describe both d+is-wave/s-wave superconducting corner junct ions and d + is-wave tricrystal junctions.