Monte Carlo Study of Spin-Glass Ordering on Dilute Frustrated Lattices

Results of computer simulations for a dilute Ising system on the triangle and fcc lattices are reported. Though we include only a nearest-neighbor antiferromagnetic interaction $J<\mathrm{}0\mathrm{}$, these systems freeze into a spin-glass for $0.50<x<\mathrm{}1.0\mathrm{}$ for the triangle lattice and $0.18\lesssim x\lesssim 0.40\pm 0.10$ for the fcc lattice, where $x$ is the concentration of magnetic spins. The spin-glass freezing is a result of the frustration inherent in the lattice and not from competition between ferromagnetic and antiferromagnetic bonds.