Regensburg 2013 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 25: Critical Phenomena and Phase Transitions

DY 25.12: Talk

Thursday, March 14, 2013, 12:30–12:45, H46

Anisotropy and universality: Critical Binder cumulant of a two-dimensional Ising model — •Boris Kastening — Institute for Materials Science, Technische Universität Darmstadt, Germany

We reanalyze transfer matrix and Monte Carlo results for the critical Binder cumulant U^* of an anisotropic two-dimensional Ising model on a square lattice in a square geometry with periodic boundary conditions. Spins are coupled between nearest neighboring sites and between next-nearest neighboring sites along one of the lattice diagonals. We find that U^* depends only on the asymptotic critical long-distance features of the anisotropy, irrespective of its realization through ferromagnetic or antiferromagnetic next-nearest neighbor couplings [1]. Our results support our recent claim towards the validity of universality for finite-size scaling in the presence of a weak anisotropy [2].

[1] B. Kastening, arXiv:1209.0105.

[2] B. Kastening, Phys. Rev. E 86, 041105 (2012).