Semi-classical study of the origin of quantized Hall conductance in periodic potentials

DOI10.1063/1.533122zbMath0978.81086arXivcond-mat/9805086OpenAlexW1508020488MaRDI QIDQ2737805

Frédéric Faure, Bernard Parisse

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9805086

zbMATH Keywords

tunneling effectbiperiodic potentialChern indicesnonzero topological conductivitythree wells

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Cites Work

• Classical structures in the quantized Baker transformation
• Equipartition of the eigenfunctions of quantized ergodic maps on the torus
• Multiple wells in the semi-classical limit I
• Topological interpretations of quantum Hall conductance
• The noncommutative geometry of the quantum Hall effect
• Phase-space localization: Topological aspects of quantum chaos
• Estimates on Complex Interactions in Phase Space
• Generic description of the degeneracies in Harper-like models
• Phase space lattices with threefold symmetry

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