A SIMPLE HYPOTHESIS FOR THE SPIN GLASS PHASE OF THE INFINITE-RANGED SK MODEL

Hajime Takayama, Hajime Yoshino, Koji Hukusima

Hans-Jürgen Sommers

Terufumi Yokota

The spin glass phase of the SK model in a transverse field is investigated by means of numerical solutions of the mean field equations that are obtained by the pair approximation. There exist many solutions that correspond to pure states. This is consistent with the concept of replica symmetry breaking. The solutions are shown to be marginally stable, as in the case of the classical SK model. From these results, the nature of the spin-glass phase may be considered as unchanged by the presence of a transverse field.

Alain H. Billoire

Paolo Biscari

The author has first solved numerically the mean field equations of the SK model obtained with Parisi's ansatz (1980) for a wide range of values of the temperature and the magnetic field. Then, using Sompolinsky and Zippelius' formulation of the spin-glass dynamics (1982) that shows that the finite time spin correlations decay algebraically with a power nu (T, h), the author obtains the exact behaviour nu (T, h=0) down to T/T c =0.07 and the much weaker dependence on the magnetic field for several values of the temperature.

Makoto Katori, Masuo Suzuki

The scaling laws of the nonlinear parts of magnetization are studied both in the Ising SK model and in the m-vector SK model.In the ,icinity of the spin glass critical point (TsG for the Ising model and the GT line TiT (H,) for the m-vector mode!) the self-consistent equations of the SK models are skeletonized to the simple scaling equations of state to obtain the scaling functions explicitly in.these models.A general form of the scaling function is also conjectured.§ 1. Introduction