Journal
PHYSICS LETTERS A
Volume 293, Issue 5-6, Pages 235-246Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0375-9601(02)00019-1
Keywords
close-packed dimers; nonorientable surfaces; reciprocity theorem
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The problem of enumerating dimers on an M x N net embedded on nonorientable surfaces is considered. We solve both the Mobius strip and Klein bottle problems for all M and N with the aid of imaginary dimer weights. The use of imaginary weights simplifies the analysis, and as a result we obtain new compact solutions in the form of double products. The compact expressions also permit us to establish a general reciprocity theorem. (C) 2002 Elsevier Science B.V. All rights reserved.
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