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

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arxiv cond-mat/0507530 v2 pith:IZXMYTPG submitted 2005-07-22 cond-mat.dis-nn cond-mat.stat-mech

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

J. Lukic , E. Marinari , O. C. Martin This is my paper
classification cond-mat.dis-nn cond-mat.stat-mech
keywords finitescalingdisorderfrustratedfullymodelsizevillain
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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