The ordering temperature and critical exponents of the binomial Ising spin glass in dimension three

Abstract

We compare numerical estimates from different sources for the ordering temperature $T_g$ and the critical exponents of the Ising spin glass in dimension three with binomial ($\pm J$) interactions. Corrections to finite size scaling turn out to be important especially for parameters such as the Binder cumulant. For non-equilibrium parameters it is easier to approach the large size limit and to allow for corrections to scaling. Relying principally on such data, a crossing point defines the freezing temperature $T_g$; the possibility that the ordering temperature is zero can definitively be excluded. We estimate an ordering temperature $T_g=1.195(15)$, with associated estimates of the critical exponents for which corrections to finite size scaling are well under control. Among the parameters evaluated is the leading dynamic correction to scaling exponent $w$.

arXiv comment8 pages,9 figures. Accepted PRB

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• The critical behavior of 3D Ising glass models: universality and scaling corrections
• Test of Universality in the Ising Spin Glass Using High Temperature Graph Expansion
• Dynamical scaling in Ising and vector spin glasses
• Weak universality of spin-glass transitions in three-dimensional $\pm J$ models
• High-Temperature Dielectric Response of (1-x)Pb(Mg1/3Nb2/3)O3-xPbTiO3: Does Burns Temperature Exist in Ferroelectric Relaxors?
• Dynamic critical behaviour in Ising spin glasses
• Ageing and dynamical scaling in the critical Ising spin glass
• Critical properties of the three- and four-dimensional gauge glass
• Critical Behavior of the Three-Dimensional Ising model with Anisotropic Bond Randomness at the Ferromagnetic-Paramagnetic Transition Line
• On the scaling and ageing behaviour of the alternating susceptibility in spin glasses and local scale-invariance
• Nonequilibrium dynamic-correlation-length scaling method
• Critical behavior and universality in Levy spin glasses
• Overlap renormalization group transformations for disordered systems