  We investigate broken rotational symmetry (BRS) states at half-filling of the
valence Landau level (LL). We generalize Rezayi-Read's (RR) composite fermion
(CF) trial wavefunctions to include anisotropic coupling of the flux quanta to
electrons, thus generating a nematic order in the underlying CF liquid. Using
the Fermi hypernetted-chain (FHNC) method which readily gives results in the
thermodynamic limit, we determine in detail the properties of these states. By
using the anisotropic pair distribution and static structure functions we
determine the correlation energy and find that, as expected, RR's state is
stable in the lowest LL, whereas BRS states may occur at half-filling of higher
LLs, with possible connection to the recently discovered quantum Hall liquid
crystals.
