Monte Carlo renormalization-group calculation for the d=3 Ising model using a modified transformation.

Ron, Dorit; Brandt, Achi; Swendsen, Robert H · Phys Rev E · 2021

basic_science · Level V

Where this comes from

Abstract

We present a simple approach to high-accuracy calculations of critical properties for the three-dimensional Ising model, without prior knowledge of the critical temperature. The iterative method uses a modified block-spin transformation with a tunable parameter to improve convergence in the Monte Carlo renormalization group trajectory. We found experimentally that the iterative method enables the calculation of the critical temperature simultaneously with a critical exponent.