Finite size scaling in Villain’s fully frustrated model and singular effects of plaquette disorder

J. Lukic 1, E. Marinari 2, O. C. Martin 3

Europhysics Letters (EPL) 73 (2006) 779-785

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 T=0 critical point.

  • 1. Dipartimento di Fisica, SMC and UdR1 of INFM,
    Università degli studi di Roma I - La Sapienza
  • 2. Dipartimento di Fisica, INFN,
    Università degli studi di Roma I - La Sapienza
  • 3. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud