Critical Binder cumulant of two-dimensional Ising models

Physics of Condensed Matter (Impact Factor: 1.35). 04/2006; 51(2):223-228. DOI: 10.1140/epjb/e2006-00209-7
Source: arXiv


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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    • "Even more important to the search for phase transitions is the so-called " Binder cumulant, " first introduced by Kurt Binder in 1981 in a study of the classical Ising Model [31]. In many settings, such as thermal or disordered systems, it is considered to be one of the most accurate and reliable means of detecting a critical point [32] [33] [34], and it has since been applied to a wide variety of models [35] [36] [37] [38] [39] [40] [41] [42]. "
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