Vanishing Hall conductance for commuting Hamiltonians
arXiv:2107.10316 · doi:10.1103/PhysRevB.105.L081103
Abstract
We consider the process of flux insertion for ground states of almost local commuting projector Hamiltonians in two spatial dimensions. In the case of finite dimensional local Hilbert spaces, we prove that this process cannot pump any charge and we conclude that the Hall conductance must vanish.
arXiv comment5 pages, 2 figures. Supplemental material added
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