Critical behavior of the Coulomb glass

We have performed a Monte Carlo study of a classical three dimensional Coulomb glass. We use finite size scaling to demonstrate the existence of a spin-glass-like phase transition and determine its critical exponents. We find that the transition temperature is well below the bar energy scale; we attribute this to pairs of nearby sites binding into weakly interacting effective dipoles. We have also studied the density of states as a function of temperature; we find that the Coulomb gap begins to develop well above the transition temperature and is nearly fully formed at ${\mathit{T}}_{\mathit{c}}$.