Site order parameters for ±J Ising lattices

Two different site order parameters are considered to characterize the partial spin-glass behavior of ±J square Ising lattices. On the one hand, q proposed by Edwards and Anderson two decades ago; on the other p, a more drastic parameter introduced recently. Site order parameters depend very strongly on the way ergodic separation is performed. Here, we deal with three different ways of doing so, thus allowing to find the most representative parameter with the appropriate ergodic separation, to have a more sensitive method to characterize the spin-glass phase. Implications of clustering in the configuration space on order parameters are also discussed.