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

Abstract

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.

arXiv commentLatex with 3 ps figures. Last version

References in corpus (4)

• Strong universality and algebraic scaling in two-dimensional Ising spin glasses
• Combinatorial and topological approach to the 3D Ising model
• Critical thermodynamics of the two-dimensional +/-J Ising spin glass
• Exact Solution of the Ising Model on Group Lattices of Genus $g>1$

Cited by in corpus (8)

• Strong universality and algebraic scaling in two-dimensional Ising spin glasses
• Field-tuned order by disorder in Ising frustrated magnets with antiferromagnetic interactions
• Energy gap of the bimodal two-dimensional Ising spin glass
• Extended scaling for ferromagnetic Ising models with zero-temperature transitions
• Thermodynamics of two lattice ice models in three dimensions
• Excitations of the bimodal Ising spin glass on the brickwork lattice
• Ising spin glasses in dimension two; universality and non-universality
• Relaxation at finite temperature in Fully-Frustrated Ising Models