  We report on the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state in
two-dimensional d-wave superconductors with magnetic field parallel to the
superconducting planes. This state occurs at high magnetic field near the
Pauli-Clogston limit and is a consequence of the competition between the pair
condensation and Zeeman energy. We use the quasiclassical theory to
self-consistently compute the spatially nonuniform order parameter. Our
self-consistent calculations show that the FFLO state of a d-wave order
parameter breaks translational symmetry along preferred directions. The
orientation of the nodes in real space is pinned by the nodes of the basis
function in momentum space. Here, we present results for the Knight shift and
discuss the implications for recent nuclear magnetic resonance measurements on
CeCoIn5.
