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Monte Carlo Renormalization of the 3D Ising Model: Analyticity and Convergence
1996
Physical Review Letters
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We review the assumptions on which the Monte Carlo renormalization technique is based, in particular the analyticity of the block spin transformations. On this basis, we select an optimized Kadanoff blocking rule in combination with the simulation of a d=3 Ising model with reduced corrections to scaling. This is achieved by including interactions with second and third neighbors. As a consequence of the improved analyticity properties, this Monte Carlo renormalization method yields a fast
doi:10.1103/physrevlett.76.2613
pmid:10060745
fatcat:wnramtk3lbezlk6lthujnvlpsa