We prove a strong form of spontaneous breaking of rotational symmetry for a simple model of two-dimensional crystals with random defects in thermal equilibrium at low temperature. The defects consist of isolated missing atoms.
"Spontaneous breaking of rotational symmetry in the presence of defects." Electron. J. Probab. 19 1 - 17, 2014. https://doi.org/10.1214/EJP.v19-2971