Vanishing Hall conductance for commuting Hamiltonians

Published 21 Jul 2021 in cond-mat.str-el, math-ph, and math.MP | (2107.10316v4)

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.

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