Spin flipping and percolation for the ±J Spin Glass at zero temperature

Examinations of the percolation properties of the domains of flipping and never flipping spins for the zero temperature dynamics of the ±J Ising Spin Glass show different results for different dimensionalities of the simulation lattice. Especially the properties or the square and the simple cubic lattice differ as far as the domains of the ‘non-equilibrium never flipping spins’ are concerned. These never flipping spins percolate in four, five and six dimensions but do not build spanning clusters in two dimensions with three dimensions being close to the border case. Therefore this quantity may be related to the Spin Glass ordering process.