The two-dimensional electron gas (ZDEG) in moderate magnetic fields in ultr
aclean AlAa-GaAs heterojunctions exhibits transport anomalies suggestive of
a compressible anisotropic metallic start. Using scaling arguments and Mon
te Carlo simulations, we develop an order parameter theory of an electron n
ematic phase. The observed temperature dependence of the resistivity anisot
ropy behaves like the orientational order parameter if the transition to th
e nematic state occurs at a finite temperature T-c similar to 65 mK, and is
slightly rounded by a small background microscopic anisotropy. We propose
a light scattering experiment to measure the critical susceptibility.