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

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

1999-10-06

arxiv.org/abs/cond-mat/9910075v2

Phys. Rev. B 61, 391 (2000)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 2 figures, to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.61.391

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.

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