Universal amplitude-exponent relation for the Ising model on sphere-like lattices

Martin Weigel, Wolfhard Janke

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Abstract

Conformal field theory predicts finite-size scaling amplitudes of correlation lengths universally related to critical exponents on sphere-like, semi-finite systems Sd − 1×Bbb R of arbitrary dimensionality d. Numerical studies have up to now been unable to validate this result due to the intricacies of lattice discretisation of such curved spaces. We present a cluster-update Monte Carlo study of the Ising model on a three-dimensional geometry using slightly irregular lattices that confirms the validity of a linear amplitude-exponent relation to high precision.
Original languageEnglish
Article number578
JournalEPL
Volume51
Issue number5
DOIs
Publication statusPublished - 2000

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