Surprising convergence of the Monte Carlo renormalization group for the three-dimensional Ising model.

Ron, Dorit; Brandt, Achi; Swendsen, Robert H · Phys Rev E · 2017

basic_science · Level V

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Abstract

We present a surprisingly simple approach to high-accuracy calculations of the critical properties of the three-dimensional Ising model. The method uses a modified block-spin transformation with a tunable parameter to improve convergence in the Monte Carlo renormalization group. The block-spin parameter must be tuned differently for different exponents to produce optimal convergence.