Frozen Quasi Long Range Order in Random Anisotropy Heisenberg Magnet

TL;DR

This study uses Monte Carlo simulations to reveal that the low-temperature phase of the random anisotropy Heisenberg model exhibits frozen-in power-law spin correlations with nonuniversal exponents, shedding light on magnetic behavior in amorphous alloys.

Contribution

It demonstrates the presence of frozen quasi-long-range order in the low-temperature phase of the model, highlighting nonuniversal critical behavior.

Findings

Frozen-in power-law spin-spin correlations at low temperatures

Nonuniversal power-law exponents observed

Monte Carlo simulations confirm theoretical predictions

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.