Recursive enumeration of clusters in general dimension on hypercubic lattices

A. Brooks Harris, Yigal Meir

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


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 nb15, 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.

Original languageEnglish
Pages (from-to)1840-1848
Number of pages9
JournalPhysical Review A
Issue number4
StatePublished - 1 Jan 1987
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


Dive into the research topics of 'Recursive enumeration of clusters in general dimension on hypercubic lattices'. Together they form a unique fingerprint.

Cite this