Critical Binder cumulant of two-dimensional ising models

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...

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Bibliographic Details
Published in:The European physical journal. B, Condensed matter physics Condensed matter physics, 2006-05, Vol.51 (2), p.223-228
Main Author: SELKE, W
Format: Article
Language:English
Subjects:
Boundary conditions
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Exact sciences and technology
General theory and models of magnetic ordering
Ising model
Lattices
Magnetic properties and materials
Phase transitions
Physics
Two dimensional models
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Summary: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.
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/e2006-00209-7