Nonlinear response scaling of the two-dimensional XY spin glass in the Coulomb-gas representation

Vortex critical dynamics of the two-dimensional XY spin glass is studied by Monte Carlo methods in the Coulomb-gas representation. A scaling analysis of the nonlinear response is used to calculate the correlation length expon ent nu of the zero-temperature glass transition. The estimate, nu = 1.3(2), is in agreement with a recent estimate in the phase representation using t he same analysis and indicates that the relevant length scale for vortex mo tion is set by the spin-glass correlation length and that spin and chiralit ies may order with different correlation length exponents.