Static scaling in a short-range Ising spin glass

Abstract

The nonlinear ac susceptibility ${\mathrm{\ensuremath{\chi}}}_{\mathrm{nl}}^{\ensuremath{'}}$ of the short-range Ising spin glass ${\mathrm{Fe}}_{0.5}$${\mathrm{Mn}}_{0.5}$${\mathrm{TiO}}_{3}$ has been measured using a superconducting-quantum-interference-device magnetometer. The spin-glass temperature, ${\mathrm{T}}_{\mathrm{g}}$, and the critical exponent \ensuremath{\gamma} were estimated from the temperature dependence of the quadratic field term of ${\mathrm{\ensuremath{\chi}}}_{\mathrm{nl}}^{\ensuremath{'}}$, yielding ${\mathrm{T}}_{\mathrm{g}}$=20.70 and \ensuremath{\gamma}=4.0. Static-scaling analyses, using different scaling equations, gave similar results. Using \ensuremath{\gamma} and results from previous dynamic-scaling analyses, a number of critical exponents have been obtained through different scaling relations, e.g., \ensuremath{\delta}=8.4 and \ensuremath{\nu}=1.7. The results support the existence of a finite-temperature phase transition in a three-dimensional Ising spin glass.