Date of this Version
Physical Review A
A recursive method for enumerating clusters on a hypercubic lattice in d spatial dimensions is presented from which the weak embedding constants are determined as polynomials in d. A tabulation for all clusters having no free ends is available for nb≤15, where nb is the number of bonds. As illustrated here and elsewhere, this tabulation can be used to generate many series expansions. A novel method of checking the enumeration with an algebraic calculation is presented.
Harris, A., & Meir, Y. (1987). Recursive Enumeration of Clusters in General Dimension on Hypercubic Lattices. Physical Review A, 36 (4), 1840-1848. http://dx.doi.org/10.1103/PhysRevA.36.1840
Date Posted: 12 August 2015
This document has been peer reviewed.