A Finite Size Scaling Study of Lattice Models in the three-dimensional Ising Universality Class

Details A Finite Size Scaling Study of Lattice Models in the three-dimensional Ising Universality Class A Finite Size Scaling Study of Lattice Models in the three-dimensional Ising Universality Class

2010-04-26

arxiv.org/abs/1004.4486v3

Phys. Rev. B 82, 174433 (2010)

Physics

Condensed Matter

Statistical Mechanics

25 pages, 6 figures, typos corrected, references added, conclusions extended

Scientific paper

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.

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