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The ground state and low T behavior of two-dimensional spin systems withdiscrete binary couplings are subtle but can be analyzed using exactcomputations of finite volume partition functions. We first apply this approachto Villain's fully frustrated model, unveiling an unexpected finite sizescaling law. Then we show that the introduction of even a small amount ofdisorder on the plaquettes dramatically changes the scaling laws associatedwith the T=0 critical point.Comment: Latex with 3 ps figures. Last versio

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