Universal amplitude-exponent relation for the Ising model on sphere-like lattices
Institut für Theoretische Physik,
Augustusplatz 10/11, 04109 Leipzig, Germany
Accepted: 5 July 2000
Conformal field theory predicts finite-size scaling amplitudes of correlation lengths universally related to critical exponents on sphere-like, semi-finite systems 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.
PACS: 75.10.Hk – Classical spin models / 75.40.Mg – Numerical simulation studies / 11.25.Hf – Conformal field theory, algebraic structures
© EDP Sciences, 2000