Local Commuting Projector Hamiltonians and the Quantum Hall Effect

Local Commuting Projector Hamiltonians and the Quantum Hall Effect

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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Veröffentlicht in:Communications in mathematical physics 2020, Vol.373 (2), p.763-769
Hauptverfasser: Kapustin, Anton, Fidkowski, Lukasz
Format: Artikel
Sprache:eng
Schlagworte:
Classical and Quantum Gravitation
Complex Systems
Electrons
Mathematical and Computational Physics
Mathematical Physics
Physics
Physics and Astronomy
Quantum Hall effect
Quantum Physics
Relativity Theory
Theoretical
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Beschreibung
Zusammenfassung: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.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-019-03444-1