Patch-planting spin-glass solution for benchmarking

Rigorous Solution of a Mean Field Spin Glass Model

A separable spin glass model whose exchange integral takes the form Jij-J(ilj2+12jl) which was solved by van Hemmen et al. [12] using large deviation theory [14] is rigorously treated. The almost sure convergence criteria associated with the cumulant generating function C(t) with respect to the quenched random variables (is carefully investigated, and it is proved that the related excluded null...

A solution of Sherrington Kirkpatrick model for Ising spin glass with physically acceptable entropy

One-step replica symmetry breaking solution for fermionic Ising spin glass in a transverse field

The fermionic Ising spin glass models in a transverse field are investigated in a Grassmann path integral formalism. The Parisi’s scheme of one-step replica symmetry breaking (RSB) is used within the static ansatz. This formalism has already been applied in a theory in which m (Parisi’s block-size parameter) is taken as a constant [13]. Now, it is extended to consider m as a variational paramet...

XY Spin Glass

The chiral glass behaviour of the nearest-neighbour random-bond XY spin glass in four dimensions is studied by Monte Carlo simulations. A chiral glass transition at T cg = 0.90 ± 0.05 is found by a finite-size scaling analysis of the results. The associated chiral correlation-length exponent is estimated to be ν cg = 0.6 ± 0.1 and η cg ∼ 0.25. The values for the chiral critical temperature and ...

Generalized spin-glass relaxation.

Spin relaxation close to the glass temperature of CuMn and AuFe spin glasses is shown, by neutron spin echo, to follow a generalized exponential function which explicitly introduces hierarchically constrained dynamics and macroscopic interactions. The interaction parameter is directly related to the normalized Tsallis nonextensive entropy parameter q and exhibits universal scaling with reduced ...