Percolation in correlated and non-correlated diluted triangular Ising lattices

Triangular lattices with N spins interacting by means of ±J bonds are described by an Ising Hamiltonian. Equal number and equal strength are assumed for ferromagnetic and antiferromagnetic interactions. The low-energy portion of the configuration space is completely scanned. It is found that the ground manifold is usually split into several ensembles of connected ground states in the configuration space. Once they are known several physical properties can be calculated: order parameters, correlations, magnetization. Frustration arises as a competition of randomly distributed interactions. When frustrated bonds are removed, a diluted lattice is defined. Occupied sites in the diluted lattice are regions free of frustration that happen to prefer certain sizes and shapes. Some of these regions get large enough to percolate. We will perform a statistical analysis of the above mentioned properties, using 7000 randomly generated samples for the case of N = 36.