Boundary critical behaviour of two-dimensional random Potts models

G. Palàgyi, C. Chatelain, B. Berche, F. Iglòi

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

Using extensive Monte Carlo simulations, transfer matrix techniques and conformal invariance, ferromagnetic random q-state Potts models for 3 ≤ q ≤ 8 are studied in the vicinity of the critical temperature. In particular the surface and bulk magnetization exponents βi and β are found monotonically increasing with q. At the critical temperature, different moments (n) of the magnetization profiles are calculated which are all found to accurately follow predictions of conformal invariance. The critical correlation functions show multifractal behaviour, the decay exponents of the different moments both in the volume and at the surface, are n-dependent.

Original languageEnglish
Pages (from-to)357-367
Number of pages11
JournalEuropean Physical Journal B
Volume13
Issue number2
Publication statusPublished - Jan 2 2000

Keywords

  • 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
  • 64.60.Fr Equilibrium properties near critical points, critical exponents
  • 75.10.Hk Classical spin models

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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