| Issue |
Europhys. Lett.
Volume 51, Number 5, September I 2000
|
|
|---|---|---|
| Page(s) | 578 - 583 | |
| Section | Condensed matter: electronic structure, electrical, magnetic, and optical properties | |
| DOI | https://doi.org/10.1209/epl/i2000-00377-0 | |
| Published online | 01 September 2002 | |
Universal amplitude-exponent relation for the Ising model on sphere-like lattices
Institut für Theoretische Physik,
Universität Leipzig
Augustusplatz 10/11, 04109 Leipzig, Germany
Corresponding authors: weigel@itp.uni-leipzig.de janke@itp.uni-leipzig.de
Received:
29
March
2000
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
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