Frozen Quasi Long Range Order in Random Anisotropy Heisenberg Magnet

Abstract

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 nonuniversal behavior.

v1: Submitted to PRB. Revtex4, 5 pages, 9 figures. v2: title changed. fixed wrong sign in the definition of ηv3: Conclusion on the universality is changed because one of the previous simulation result contained an error and it has been re-calculated v4: Final version

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