Entanglement Transitions in 2D Random Tensor Networks

We numerically study the entanglement phase transition in two-dimensional random tensor networks (Vasseur et al[Phys. Rev. B 100, 134203 (2019)]). We identify the bond-dimension at which the system transitions from area law to volume law scaling and give evidence for either a critical region or phase with logarithmic entanglement entropy scaling. To conclude, we study the scaling properties near the transition using the quantum mutual information.