  The phase diagram of the spin-1/2 Heisenberg antiferromagnet on an
anisotropic triangular lattice of weakly coupled chains, a model relevant to
Cs2CuCl4, is investigated using a renormalization group analysis, which
includes marginal couplings important for connecting to numerical studies of
this model. In particular, the relative stability of incommensurate spiral
spin-density order and collinear antiferromagnetic order is studied. While
incommensurate spiral order is found to exist over most of the phase diagram in
the presence of a Dzyaloshinskii-Moriya (DM) interaction, at small interchain
and extremely weak DM couplings, collinear antiferromagnetic order can survive.
Our results imply that Cs2CuCl4 is well within the part of the phase diagram
where spiral order is stable. The implications of the renormalization group
analysis for numerical studies, many of which have found spin-liquidlike
behavior, are discussed.
