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Theory of how to distinguish a scalar from a tensor order parameter in the high-Tc superconductors.

Using generalized Ginzburg-Landau equations, we discuss the possibility that the high-T/sub c/ superconductors do not have a scalar, but a tensor order parameter. We propose experiments to distinguish between these two possibilities both with lattice anisotropy included. A tensor order parameter implies a splitting of the upper critical field for a given setup as well as the appearance of a transverse magnetic field, when a field is applied parallel to the crystal cell axes. Only for a single scalar, the product of coherence and penetration lengths is an invariant along the cell axes.