Constructing Quantum Spin Liquids Using Combinatorial Gauge Symmetry.

@article{Chamon2020ConstructingQS,
  title={Constructing Quantum Spin Liquids Using Combinatorial Gauge Symmetry.},
  author={C. Chamon and D. Green and Z. Yang},
  journal={Physical review letters},
  year={2020},
  volume={125 6},
  pages={
          067203
        }
}
We introduce the notion of combinatorial gauge symmetry-a local transformation that includes single spin rotations plus permutations of spins (or swaps of their quantum states)-that preserve the commutation and anticommutation relations among the spins. We show that Hamiltonians with simple two-body interactions contain this symmetry if the coupling matrix is a Hadamard matrix, with the combinatorial gauge symmetry being associated with the automorphism of these matrices with respect to… Expand
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