  Clean superconductors with weakly coupled conducting planes have been
suggested as promising candidates for observing the
Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state. We consider here a layered
superconductor in a magnetic field of arbitrary orientation with respect to the
conducting plane. In this case there is competition of spin-pair-breaking and
orbital-pair-breaking effects. In previous work, phase boundaries characterized
by Landau quantum numbers n > 0 have been predicted. Here, we calculate the
actual structure of the stable states below Hc2 by minimizing the free energy.
We find several new order parameter structures differing from both the
traditional Abrikosov and FFLO solutions. Some interesting unsolved questions
appear in the limit of large n.
