https://doi.org/10.1007/s100510050042
Boundary critical behaviour of two-dimensional random Potts models
1
Department of Physics,
University of Veszprém, 8201 Veszprém, Hungary
2
Laboratoire de Physique des
Matériaux (UMR 7556 du CNRS) ,
Université Henri Poincaré,
Nancy 1, 54506 Vandœuvre les Nancy Cedex, France
3
Research Institute for Solid State Physics and Optics,
1525 Budapest, P.O.Box 49, Hungary
4
Institute for Theoretical Physics,
Szeged University, 6720 Szeged, Hungary
Received:
4
June
1999
Published online: 19 October 2012
Using extensive Monte Carlo simulations, transfer matrix techniques
and
conformal invariance, ferromagnetic random
state Potts models for 
are studied in the vicinity
of the
critical temperature.
In particular the surface and bulk magnetization exponents 
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 
dependent.
PACS: 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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
