Critical Point Correlation Function for the 2D Random Bond Ising Model
Andrei L. Talapov, Lev N. Shchur
Abstract
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 Tc. Finite corrections to the correlation function due to combined action of impurities and finite lattice size are described.
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