Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group (opens in new tab)

The permutation model is a classical spin system where elements of the symmetric group interact with one another. The partition function of this model is directly related to the entanglement structure of random quantum circuits and random tensor networks. In these contexts, the entanglement entropy undergoes a transition between area-law and volume-law scaling, depending on the model parameters. This transition point has attracted considerable a...