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 exponent $\nu $ of the zero-temperature glass transition. The estimate, $\nu =1.3(2)$, is in agreement witth a recent estimate in the phase representation using the same analysis and indicates that the relevant length scale for vortex motion is set by the spin-glass correlation length and that spin and chiralities may order with different correlation length exponents.