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

Wentao T. Lu·F. Y. Wu
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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.

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Wentao T. Lu, F. Y. Wu. 2000-07-20. Ising model on nonorientable surfaces: Exact solution for the Moebius strip and the Klein bottle. https://doi.org/10.1103/physreve.63.026107

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