Ju n 19 99 Dimer statistics on a Möbius strip
نویسندگان
چکیده
A closed-form expression is obtained for the generating function of close-packed dimers on a 2M × 2N simple quartic lattice embedded on a Möbius strip. The finite-size corrections are also analyzed and compared with those under cylindrical and free boundary conditions. Particularly, it is found that, for large lattices with a square symmetry and the Möbius boundary condition, the number of dimer configurations is 70.2% of that under the cylindrical boundary condition. Results for the Klein bottle are also given.
منابع مشابه
Dimer statistics on the Möbius strip and the Klein bottle
Closed-form expressions are obtained for the generating function of close-packed dimers on a 2M × 2N simple quartic lattice embedded on a Möbius strip and a Klein bottle. Finite-size corrections are also analyzed and compared with those under cylindrical and free boundary conditions. Particularly, it is found that, for large lattices of the same size and with a square symmetry, the number of di...
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تاریخ انتشار 2008