Vanishing Hall conductance for commuting Hamiltonians

Carolyn Zhang, Michael Levin, Sven Bachmann

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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.

Original languageEnglish
Article numberL081103
JournalPhysical Review B
Issue number8
StatePublished - 15 Feb 2022
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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