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

Abstract

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.

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

References in corpus (6)

• The Lower Critical Dimension of the XY Spin Glass
• Current-voltage scaling of chiral and gauge-glass models of two-dimensional superconductors
• Numerical Study of Spin and Chiral Order in a Two-Dimensional XY Spin Glass
• Current-voltage characteristics of diluted Josephson-junction arrays: scaling behavior at current and percolation threshold
• Diluted Josephson-junction arrays in a magnetic field: phase coherence and vortex glass thresholds
• Charge glass in two-dimensional arrays of capacitively coupled grains with random offset charges

Cited by in corpus (7)

• Nature of the ordering of the three-dimensional XY spin glass
• Critical behavior and driven Monte Carlo dynamics of the XY spin glass in the phase representation
• Phase-coherence transition in granular superconductors with $\pi$ junctions
• Resistive transition in $\pi$-junction superconductors
• Monte Carlo simulations of the three-dimensional XY spin glass focusing on the chiral and the spin order
• Phase-coherence threshold and vortex-glass state in diluted Josephson-junction arrays in a magnetic field
• Numerical study of the ordering of the +-J XY spin-glass ladder