Improved mean-field-like renormalisation group approach for Z(q) symmetric spin models

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Abstract

Various modifications of the mean-field renormalisation group method are analysed to study the convergence of the critical coupling and critical exponents to their exact values as the cluster size increases. Appropriate choice of the length scaling factor or of the scaling quantity can give appreciable improvement over the concentional procedure for short clusters. The best Lalues are achieved when both the bulk and surface critical behaviour are explicitly taken into account.

Original languageEnglish (US)
Pages (from-to)539-546
Number of pages8
JournalJournal of Physics A: Mathematical and General
Volume21
Issue number2
DOIs
StatePublished - Jan 21 1988
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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