| Abstract: |
| Local Topological Quantum Order (LTQO) is a crucial ingredient in proofs of stability of the spectral gap above the ground state of frustration free quantum lattice systems. LTQO has been proved to hold quite generally in one space dimension. It is also known in higher dimensions for many commuting Hamiltonians. In this work we prove LTQO for the AKLT model on the hexagonal lattice, adding one item to a rather short list of results that apply to non-commuting Hamiltonians in two or more dimensions. |
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