Exact enumeration of long-range-ordered dimer coverings on the square-planar lattice.

abstract

• It is noted that there occur different classes of complete dimer coverings (Kekul structures) on the square-planar lattice. Each class is characterized by a different degree of long-range ordering in the relative numbers of dimers crossing lines drawn diagonally across the lattice. Asymptotically exact enumerations for these classes as a function of the extent of ordering are obtained via a transfer-matrix technique. 1990 The American Physical Society.

authors

• Klein, Douglas

published proceedings

• Phys Rev B Condens Matter

author list (cited authors)

• Klein, D. J., & Schmalz, T. G.

citation count

• 21

complete list of authors

• Klein, DJ||Schmalz, TG

publication date

• February 1990

publisher

• American Physical Society (APS)  Publisher

published in

• Physical Review B (Condensed Matter)  Journal

PubMed Central ID

• 9993958

Digital Object Identifier (DOI)

• 10.1103/physrevb.41.2244

start page

• 2244

end page

• 2248

volume

• 41

issue

• 4

URL

• http://dx.doi.org/10.1103/physrevb.41.2244