The full set of possible stable states which may arise in two-dimensional superconducting systems, when assuming a d-pairing-wave order parameter, are worked out in the framework of a generalized Landau theory, in which a nontruncated order-parameter expansion is used. The phase diagrams, macroscopic tensors, and gap functions are calculated for three structural symmetries of the normal state: ∞m, 4mm, and mm2. The superconducting states can be distinguished by their elastic properties, by the orbital paramagnetic or ferromagnetic type order of the condensate, and by their gap functions. A number of recent experimental measurements on the cuprate superconductors are reinterpreted in light of the obtained theoretical results.

• Received 28 March 1994

DOI:https://doi.org/10.1103/PhysRevB.51.9219