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 dx2-y2+idxy-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 dx2-y2 state at T>T* and a second order phase transition at T* to a time-reversal-symmetry-breaking dx2-y2+idxy state, with T* being very small. In a magnetic field, the strong coupling effect could lead to that a dx2-y2+idxy state is always established, albeit with decreasing dxy amplitude with increasing temperature.
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