Critical behaviour near multiple junctions and dirty surfaces in the two-dimensional Ising model

F. Igloi, L. Turban, B. Berche

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

The authors consider m two-dimensional semi-infinite planes of Ising spins joined together through surface spins and study the critical behaviour near to the junction. The m=0 limit of the model-according to the replica trick-corresponds to the semi-infinite Ising model in the presence of a random surface field (RSFI). Using conformal mapping, second-order perturbation expansion around the weak- and strong-coupled planes limits and a differential renormalization group, they show that the surface critical behaviour of the RSFI model is described by Ising critical exponents with logarithmic corrections to scaling, while at multiple junctions (m>2) the transition is of first-order. There is a spontaneous junction magnetization at the bulk critical point.

Original languageEnglish
Article number012
Pages (from-to)L1031-L1036
JournalJournal of Physics A: Mathematical and General
Volume24
Issue number17
DOIs
Publication statusPublished - Dec 1 1991

ASJC Scopus subject areas

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

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