Spin glasses and frustrated percolation: a renormalization group approach

We develop a Hamiltonian formalism for the frustrated percolation model. This is a cluster model which has recently received attention for its relevance to glassy systems and granular materials. The exact solution of the model on the frustrated hierarchical lattice of Mc Kay et al. exhibits a percolation transition with critical exponents of the ferromagnetic Potts model and a spin glass transition characterized by chaotic renormalization group trajectories. Finally, we discuss the model in light of recent experiments.