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

Phys Rev E. 2017 May;95(5-1):053305. doi: 10.1103/PhysRevE.95.053305. Epub 2017 May 16.

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.