Coupled Fredkin and Motzkin chains from quantum six- and nineteen-vertex models
Coupled Fredkin and Motzkin chains from quantum six- and nineteen-vertex models
We generalize the area-law violating models of Fredkin and Motzkin spin chains into two dimensions by building quantum six- and nineteen-vertex models with correlated interactions. The Hamiltonian is frustration free, and its projectors generate ergodic dynamics within the subspace of height configuration that are non negative. The ground state is …