It is well known that the ground state of 2D Toric Code system can be represented by $D=2$ PEPS (Projected Entangled Pair States, i.e. the tensors in the 2D network are connected by 2-dimensional links. See PRL 96, 220601 (2006)). However, I failed to find a detailed procedure on how this is obtained.
Is there anyone who are willing to give a detailed explanation on how to find the PEPS representation, and the tensor components for Toric Code?