Fig. 3: PEPS construction.
From: Exact projected entangled pair ground states with topological Euler invariant
a Matrix product state representation of the simplex states residing on the hexagons. A can either be chosen to be of bond dimension D = 2, with \({A}_{12}^{0}=1/\sqrt{6},\,{A}_{11}^{1}=-{A}_{22}^{1}=1\), Q21 = 1 and all other elements of A and Q equal to zero, or D = 6 with \({A}_{61}^{0}=1/\sqrt{6},\,{A}_{l,l+1}^{1}=1\) (l = 1, …, 5), all other elements of A equal to zero and \(Q={\mathbb{1}}\) (translationally invariant representation). Incoming arrows denote left and outgoing arrows right lower indices. b By combining two A tensors with the tensor M, we obtain the tensor T constituting the PEPS. c PEPS with one rank-5 tensor located on each site of the kagome lattice (gray dashed lines).
