  We study the effects of spin-orbit coupling (SOC) on the large-U Hubbard
model on anisotropic triangular lattice at half-filling using the
Schwinger-boson method. We find that the SOC will in general lead to a zero
temperature condensation of the Schwinger bosons with a single condensation
momentum. As a consequence, the spin-spin correlation vanishes along the z-axis
but develops in the $x$-$y$ plane, with the ordering wave vector being
dramatically dependent on the SOC. Moreover, the phase boundary of the magnetic
ordered state extends to the region of large spatial anisotropy with increased
condensation density, demonstrating that the spiral order is always stabilized
by the SOC.
