Exact enumeration of long-range-ordered dimer coverings on the square-planar lattice. Academic Article uri icon


  • 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.

published proceedings

  • Phys Rev B Condens Matter

author list (cited authors)

  • Klein, D. J., & Schmalz, T. G.

citation count

  • 20

complete list of authors

  • Klein, DJ||Schmalz, TG

publication date

  • February 1990