Spin glass of a diluted Ising dipolar system

The diluted dipolar Ising system has been regarded as a standard example which exhibits spin glass properties. Recent studies have challenged the existence of spin glass phase transition in one of the materials in this category, $LiHo_{x}Y_{1-x}F_{4}$. Using Monte Carlo simulations, we calculate various quantities to address the current controversy of a possible spin glass phase transition in this material. Beside the conventional method to locate the spin glass transition by observing the crossing of Binder ratios of magnetization moments, another crucial probe for the nature of spin glass, order parameter fluctuations, is studied via the so-called fluctuation sensitive parameters. Crossing is observed in the Binder ratio of overlap order parameter, and non-trivial structures of overlap order parameter are obtained at low temperature.