Ginzburg-Landau theory of mixed wave superconductors

Abstract

We address vortex state and dynamics of mixed wave superconductors in the framework of Ginzburg-Landau theory. We find that the s- and d-wave components of a single vortex in the d + is-state exhibit two-fold symmetry and the intrinsic Hall effect displays a different angle dependence from that of d-wave state. For d x2-y2 + id xy-wave superconductors, a Ginzburg-Landau theory is developed from a microscopic theory with a strong coupling term being included. In the absence of a magnetic field, the theory predicts a pure d x2-y2 state at T > T* and a second order phase transition at T* to a time-reversal-symmetry-breaking d x2-y2 + id xy state, with T* being very small. In a magnetic field, the strong coupling effect could lead to that a d x2-y2 + id xy state is always established, albeit with decreasing d xy amplitude with increasing temperature. © World Scientific Publishing Company.