POSSIBLE 2-DIMENSIONAL XY SPIN GAUGE GLASSES ON PERIODIC AND QUASI-PERIODIC LATTICES/

Via Monte Carlo studies of the frustrated XY or classical planar model we demonstrate the possibility of a finite (nonzero) temperature spin /gauge glass-like phase in two dimensions. Examples of both periodic a nd quasiperiodic two-dimensional lattices, where a high-temperature pa ramagnetic phase appears to change to a spin/gauge glass-like phase wi th the lowering of temperature, are presented. The possibility of the glassy phase is supported by our study of the temperature dependence o f the Edwards-Anderson order parameter, spin glass susceptibility, lin ear susceptibility and the specific heat. Using finite-size scaling an alysis of spin glass susceptibility and the temperature dependence of the order parameter we provide estimates of critical temperatures and exponents eta, nu and beta for the various lattices. On the basis of t hese results we expect that certain quasiperiodic as well as periodic two-dimensional arrays of superconducting grains in suitably chosen ma gnetic fields should behave as superconducting glasses at low temperat ures.