Ising model on nonorientable surfaces: Exact solution for the Moebius strip and the Klein bottle
Statistical Mechanics
2009-10-31 v1 High Energy Physics - Theory
Mathematical Physics
Combinatorics
math.MP
Abstract
Closed-form expressions are obtained for the partition function of the Ising model on an M x N simple-quartic lattice embedded on a Moebius strip and a Klein bottle for finite M and N. The finite-size effects at criticality are analyzed and compared with those under cylindrical and toroidal boundary conditions. Our analysis confirms that the central charge is c=1/2.
Keywords
Cite
@article{arxiv.cond-mat/0007325,
title = {Ising model on nonorientable surfaces: Exact solution for the Moebius strip and the Klein bottle},
author = {Wentao T. Lu and F. Y. Wu},
journal= {arXiv preprint arXiv:cond-mat/0007325},
year = {2009}
}
Comments
8 pages, 3 eps figures