3D Ising Model with Improved Scaling Behaviour

TL;DR

This paper reports on simulations of a modified 3D Ising model with two couplings, achieving improved scaling behavior and precise estimates of critical exponents and universal ratios.

Contribution

The study introduces a two-coupling spin-1 model that reduces corrections to scaling, enabling more accurate determination of critical properties.

Findings

Critical exponent nu=0.6299(3)

Critical exponent eta=0.0359(10)

Universal ratio Q=0.6240(2)

Abstract

We present results from the simulation of a two-coupling spin-1 model with states 0,+1,-1 and nearest neighbour interaction. By a suitable choice of couplings we are able to drastically reduce the effects of corrections to scaling. Our estimates for the critical exponents are nu= 0.6299(3) and eta = 0.0359(10). For the Binder cumulant related universal ratio we obtain Q= 0.6240(2). The universal ratio of partition functions with antiperiodic/periodic boundary conditions, respectively, is Z_a/Z_p = 0.5425(2).