Volume 51, Number 5, September I 2000
|Page(s)||578 - 583|
|Section||Condensed matter: electronic structure, electrical, magnetic, and optical properties|
|Published online||01 September 2002|
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.