Phase Transition in the Ruderman-Kittel-Kasuya-Yosida Model of Spin-Glass

Abstract

The equilibrium behavior of a system of randomly distributed classical Heisenberg spins coupled via the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction is studied by Monte Carlo simulations. Finite-size scaling analysis of the results strongly indicates a zero-temperature critical point with the correlation length exponent $\ensuremath{\nu}=0.87\ifmmode\pm\else\textpm\fi{}0.08$. This conclusion is supported by the observed temperature and sample-size dependence of various relaxation times.