4.6 Article

Local Commuting Projector Hamiltonians and the Quantum Hall Effect

Journal

COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 373, Issue 2, Pages 763-769

Publisher

SPRINGER
DOI: 10.1007/s00220-019-03444-1

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We prove that neither Integer nor Fractional Quantum Hall Effects with nonzero Hall conductivity are possible in gapped systems described by Local Commuting Projector Hamiltonians.

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