Surface critical behaviour of the vertex-interacting self-avoiding walk on the square lattice

D. P. Foster, C. Pinettes

Research output: Contribution to journalArticle

5 Citations (Scopus)


The phase diagram and surface critical behaviour of the vertex-interacting self-avoiding walk are examined using transfer matrix methods extended using the density matrix renormalization group method and coupled with finite-size scaling. Particular attention is paid to the critical exponents at the ordinary and special points along the collapse transition line. The question of the bulk exponents (ν and γ) is addressed, and the results found are at variance with previously conjectured exact values.

Original languageEnglish
Article number505003
JournalJournal of Physics A: Mathematical and Theoretical
Issue number50
Early online date29 Nov 2012
Publication statusPublished - 21 Dec 2012
Externally publishedYes


ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Modelling and Simulation
  • Statistics and Probability

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