Featureless quantum insulator on the honeycomb lattice

Understand

We show how to construct fully symmetric, gapped states without topological order on a honey- comb lattice for S = 1/2 spins using the language of projected entangled pair states(PEPS).

• An explicit example is given for the virtual bond dimension D = 4.
• Four distinct classes differing by lattice quantum numbers are found by applying the systematic classification scheme introduced by two of the authors [S.
• Jiang and Y.