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

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

2005-07-22

arxiv.org/abs/cond-mat/0507530v2

Europhys. Lett. 73 (2006) 779

Physics

Condensed Matter

Disordered Systems and Neural Networks

Latex with 3 ps figures. Last version

Scientific paper

10.1209/epl/i2006-10001-5

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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