Ising model on nonorientable surfaces: Exact solution for the Moebius strip and the Klein bottle

Details Ising model on nonorientable surfaces: Exact solution for the Moebius strip and the Klein bottle Ising model on nonorientable surfaces: Exact solution for the Moebius strip and the Klein bottle

2000-07-20

arxiv.org/abs/cond-mat/0007325v1

Phys.Rev. E63 (2001) 026107

Physics

Condensed Matter

Statistical Mechanics

8 pages, 3 eps figures

Scientific paper

10.1103/PhysRevE.63.026107

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.

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