Critical Binder cumulant of two-dimensional Ising models

Statistical and Nonlinear Physics

Abstract.

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.

PACS.

05.50.+q Lattice theory and statistics (Ising, Potts, etc.) 05.10.Ln Monte Carlo method 

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Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Authors and Affiliations

  1. 1.Institut für Theoretische PhysikAachenGermany

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