| Issue |
Europhys. Lett.
Volume 41, Number 6, March II 1998
|
|
|---|---|---|
| Page(s) | 605 - 610 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i1998-00200-6 | |
| Published online | 01 September 2002 | |
Critical behavior of coupled q-state Potts models under weak disorder
Laboratoire de Physique Théorique et Hautes Energies,
Universités Pierre et Marie Curie Paris VI et Denis Diderot Paris VII,
2 pl. Jussieu, 75251 Paris Cedex 05, France
Corresponding author: simon@lpthe.jussieu.fr
Received:
28
July
1997
Accepted:
26
January
1998
We investigate the effects of weak disorder on different coupled q-state Potts
models with
using two-loop renormalisation group equations. This study presents new
examples of first-order transitions driven by randomness. We found that weak
disorder makes the models decouple. Therefore, it appears that no relation
emerges, at a perturbation level, between the disordered 
-state Potts
model and the two disordered q1, q2-state Potts models (
),
though recent numerical
investigations have shown that their central charges are approximately similar.
PACS: 05.70.Jk – Critical point phenomena / 64.60.Fr – Equilibrium properties near critical points, critical exponents / 75.10.Hk – Classical spin models
© EDP Sciences, 1998
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