Physics – Condensed Matter
Scientific paper
1996-08-21
Physics
Condensed Matter
RevTex, 25 pages. 11 epsf figures available upon request (rael@newton.physics.brocku.ca or bose@newton.physics.brocku.ca). Sub
Scientific paper
10.1088/0953-8984/9/34/008
Via Monte Carlo studies of the frustrated XY or classical planar model we demonstrate the possibility of a finite (nonzero) temperature spin/gauge glass phase in two dimensions. Examples of both periodic and quasiperiodic two dimensional lattices, where a high temperature paramagnetic phase changes to a spin/gauge glass phase with the lowering of temperature, are presented. The existence of the spin/gauge glass phase is substantiated by our study of the temperature dependence of the Edwards-Anderson order parameter, spin glass 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 that are in close agreement with those obtained by Bhatt and Young in their random ${\pm J}$ Ising model study on a square lattice. These results suggest that certain periodic and quasiperiodic two-dimensional arrays of superconducting grains in suitably chosen transverse magnetic fields should behave as superconducting glasses at low temperatures.
Bose Saurabh K.
Mitrovic Bozidar
Reid R. W.
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