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

Phys.Rev. E63 (2001) 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 cylin...

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Hauptverfasser:	Lu, Wentao T, Wu, F. Y
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Combinatorics Mathematics - Mathematical Physics Physics - High Energy Physics - Theory Physics - Mathematical Physics Physics - Statistical Mechanics
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Zusammenfassung:	Phys.Rev. E63 (2001) 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.
DOI:	10.48550/arxiv.cond-mat/0007325