Critical Behaviour of AN Ising Spin-Glass

M. J. Thill, David A. Huse

P F Fox, Anthony John Guttmann

F. WANG, Naoki Kawashima, Masuo Suzuki

The dynamical critical behaviour of the ± J Ising spin glass is investigated at the damage-spreading threshold T d . The dynamical critical exponent z is observed as z = 1.75 ± 0.08 at T d = 1.70 for d = 2 and z = 1.73 ± 0.14 at T d = 3.92 for d = 3. The fractal dimensions of the damage cluster are estimated as d f = 1.35 ± 0.08 for the 2D Ising spin glass and d f = 1.47 ± 0.08 for the 3D system, which satisfy the equation d f = d − β/ν within the error bar.

A. Bobák, Marian Jurčisin

Enzo Marinari, C. Naitza, Francesco Zuliani

We present numerical simulations of the four-dimensional Edwards Anderson Ising spin glass with binary couplings. Our results, in the midst of strong finite-size effects, suggest the existence of a spin-glass phase transition. We present a preliminar determination of critical exponents. We discuss spin-glass susceptibilities, cumulants of the overlap and energy overlap probability distributions, finite-size effects, and the behaviour of the disorder-dependent and integrated probability distributions.

Malte Henkel, Michel Pleimling

The non-equilibrium ageing behaviour of the 3D and 4D critical Ising spin glass is studied for both binary and gaussian disorder. The same phenomenology of the time-dependent scaling as in non-disordered magnets is found but the non-equilibrium exponents and the universal limit fluctuation-dissipation ratio depend on the distribution of the coupling constants.