Classical planar model on frustrated two-dimensional quasiperiodic lattices: possibility of spin/gauge glass phase

Monte Carlo(MC) studies of the frustrated classical planar orXY model on two dimensional Penrose and octagonal lattices reveal a high temperature paramagnetic state changing to a spin-glass phase as the temperature is lowered. This scenario is supported by the temperature dependence of the Edwards-Anderson order parameter, spin-g;ass susceptibility, linear susceptibility, and the specific heat. Finite size scaling analysis of spin-glass susceptibility and order parameter yields a nonzero critical temperature and exponents similar to those obtained by Bhatt and Young in their random±J Ising model study on a square lattice. The results imply that certain quasiperiodic two-dimensional arrays of superconducting grains in suitably chisen transverse magnetic fields should behave as superconducting glasses at low temperatures.