  We study the phase transition between the normal and non-uniform
(Fulde-Ferrell-Larkin-Ovchinnikov) superconducting state in quasi
two-dimensional d-wave superconductors at finite temperature. We obtain an
appropriate Ginzburg-Landau theory for this transition, in which the
fluctuation spectrum of the order parameter has a set of minima at non-zero
momenta. The momentum shell renormalization group procedure combined with
dimensional expansion is then applied to analyze the phase structure of the
theory. We find that all fixed points have more than one relevant directions,
indicating the transition is of the fluctuation-driven first order type for
this universality class.
