Monte Carlo Renormalization of the 3D Ising Model: Analyticity and Convergence

H. W. J. Blöte, J. R. Heringa, A. Hoogland, E. W. Meyer, and T. S. Smit
Phys. Rev. Lett. 76, 2613 – Published 8 April 1996
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Abstract

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 transformation, this Monte Carlo renormalization method yields a fast convergence and a high accuracy. The results for the critical exponents are yH=2.481(1) and yT=1.585(3).

  • Received 27 November 1995

DOI:https://doi.org/10.1103/PhysRevLett.76.2613

©1996 American Physical Society

Authors & Affiliations

H. W. J. Blöte, J. R. Heringa, A. Hoogland, E. W. Meyer, and T. S. Smit

  • Department of Applied Physics, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands

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Vol. 76, Iss. 15 — 8 April 1996

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