Infinite ground state degeneracy and glassy dynamics in the frustrated XY model and lattice Coulomb gas with

Novel features of glassy dynamics is found via Monte Carlo simulations in the uniformly frustrated XY model and the lattice Coulomb gas on a square lattice with the frustration parameter . The ground state vortex configuration has infinite degeneracies. It is also found through energy histogram methods that the system exhibits no signature of first-order transitions at low temperatures. Instead, the system exhibits a glassy behavior resembling the primary relaxation of fragile supercooled liquids as evidenced by strong non-Arrhenius (Vogel–Tammann–Fulcher) behavior of the relaxation time. A strong correlation is found between the trend of violation of the Stokes–Einstein relation and the degree of non-exponentiality