Critical Binder cumulant of two-dimensional Ising models

Details Critical Binder cumulant of two-dimensional Ising models Critical Binder cumulant of two-dimensional Ising models

2006-03-15

arxiv.org/abs/cond-mat/0603411v2

Eur. Phys. J. B 51, 223-228 (2006)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 4 figures, submitted to Eur. Phys. J. B

Scientific paper

10.1140/epjb/e2006-00209-7

The fourth-order cumulant of the magnetization, the Binder cumulant, is determined at the phase transition of Ising models on square and triangular lattices, using Monte Carlo techniques. Its value at criticality depends sensitively on boundary conditions, details of the clusters used in calculating the cumulant, and symmetry of the interactions or, here, lattice structure. Possibilities to identify generic critical cumulants are discussed.

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