Spectral gaps of quantum Hall systems with interactions

DOI10.1023/A:1018604925491zbMath1002.81055arXivcond-mat/9809228OpenAlexW2998359168MaRDI QIDQ1573811

Tohru Koma

Publication date: 9 August 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9809228

zbMATH Keywords

symmetry breakinglowest Landau levelsquantized Hall conductanceinfinite-volume ground stateLieb-Schultz-Mattis methodtwo-body interaction with finite rangetwo-dimensional quantum Hall system

Mathematics Subject Classification ID

Symmetry breaking in quantum theory (81R40) Many-body theory; quantum Hall effect (81V70)

Related Items (6)

Spectral gaps and incompressibility in a \(\nu = 1/3\) fractional quantum Hall system ⋮ Gapped quantum systems: from higher-dimensional Lieb-Schultz-Mattis to the quantum Hall effect ⋮ Lieb-Schultz-Mattis theorem with a local twist for general one-dimensional quantum systems ⋮ Widths of the Hall conductance plateaus ⋮ REVISITING THE CHARGE TRANSPORT IN QUANTUM HALL SYSTEMS ⋮ A proof of the Bloch theorem for lattice models

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