Volume 73, Number 5, March 2006
|Page(s)||779 - 785|
|Section||Condensed matter: electronic structure, electrical, magnetic, and optical properties|
|Published online||25 January 2006|
Finite-size scaling in Villain's fully frustrated model and singular effects of plaquette disorder
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
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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