| Issue |
Europhys. Lett.
Volume 73, Number 5, March 2006
|
|
|---|---|---|
| Page(s) | 779 - 785 | |
| Section | Condensed matter: electronic structure, electrical, magnetic, and optical properties | |
| DOI | https://doi.org/10.1209/epl/i2006-10001-5 | |
| Published online | 25 January 2006 | |
Finite-size scaling in Villain's fully frustrated model and singular effects of plaquette disorder
1
Dipartimento di Fisica, SMC and UdR1 of INFM Università di Roma “La Sapienza” - P.le Aldo Moro 2, 00185 Roma, Italy
2
Dipartimento di Fisica, INFN, Università di Roma “La Sapienza” P.le Aldo Moro 2, 00185 Roma, Italy
3
Laboratoire de Physique Théorique et Modèles Statistiques Bâtiment 100, Université Paris-Sud, F-91405 Orsay, France
Received:
24
October
2005
Accepted:
5
January
2006
The ground state and low-T behavior of two-dimensional spin systems
with discrete binary couplings are subtle but can be analyzed using
exact computations of finite-volume partition functions. We first
apply this approach to Villain's fully frustrated model, unveiling an
unexpected finite-size scaling law. Then we show that the introduction
of even a small amount of disorder on the plaquettes dramatically
changes the scaling laws associated with the 
critical point.
PACS: 75.10.Nr – Spin-glass and other random models / 75.40.-s – Critical-point effects, specific heats, short-range order / 75.40.Mg – Numerical simulation studies
© EDP Sciences, 2006
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