Monte Carlo renormalization group calculation for the d=3 Ising Model using a modified transformation

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.

4 pages. arXiv admin note: text overlap with arXiv:1703.02430