Frozen Quasi Long Range Order in Random Anisotropy Heisenberg Magnet

Extensive Monte Carlo simulations are used to investigate the low temperature properties of the random anisotropy Heisenberg model, which describes the magnetic behavior of amorphous rare-earth-transition metal alloy. We show that the low temperature phase in weak anisotropy region is characterized by a {\it frozen-in} power law spin-spin correlation. Numerical observation of the power-law exponent $\eta$ indicates non-universal behavior.