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