Critical-Point Correlation Function for the 2D Random Bond Ising Model

A.L. Talapov and L.N. Shchur

Europhys.Lett., 27 (1994) 193-196

hep-lat/9404002

High accuracy Monte Carlo simulation results for 1024*1024 Ising system with ferromagnetic impurity bonds are presented. Spin-spin correlation function at a critical point is found to be numerically very close to that of a pure system. This is not trivial since a critical temperature for the system with impurities is almost two times lower than pure Ising $T_c$. Finite corrections to the correlation function due to combined action of impurities and finite lattice size are described.