2010/04/30 by Martin Hasenbusch · 2 citations
Physics and Astronomy · #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.82.174433
published as Phys. Rev. B 82, 174433 (2010) · 25 pages, 6 figures, typos corrected, references added, conclusions extended
arxiv created 2011/03/24 · arxiv updated 2013/05/29
We simulate the spin-1/2 Ising model and the Blume-Capel model at various values of the parameter D on the simple cubic lattice. We perform a finite size scaling study of lattices of a linear size up to L=360 to obtain accurate estimates for critical exponents. We focus on values of D, where the amplitudes of leading corrections are small. Furthermore we employ improved observables that have a small amplitude of the leading correction. We obtain nu=0.63002(10), eta=0.03627(10) and omega=0.832(6). We compare our results with those obtained from previous Monte Carlo simulations and high temperature series expansions of lattice models, by using field theoretic methods and experiments.