On edge states in semi-infinite quantum Hall systems

DOI10.1088/0305-4470/32/10/015zbMath0960.81079arXivcond-mat/9812367OpenAlexW2144349225MaRDI QIDQ4258297

Nicolas Macris, Joseph V. Pulé, Philippe A. Martin

Publication date: 17 May 2001

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9812367

zbMATH Keywords

continuous spectrumeigenfunctionsedge stateswave functionLandau levelswall potentialtotal Hamiltoniansemi-infinite quantum Hall systems

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70)

Related Items (9)

Edge states in honeycomb structures ⋮ Curvature-induced bound states in Robin waveguides and their asymptotical properties ⋮ Magnetic quantum currents in the presence of a Neumann wall ⋮ EDGE CURRENTS FOR QUANTUM HALL SYSTEMS I: ONE-EDGE, UNBOUNDED GEOMETRIES ⋮ T-duality and the bulk-boundary correspondence ⋮ EDGE CURRENT CHANNELS AND CHERN NUMBERS IN THE INTEGER QUANTUM HALL EFFECT ⋮ Persistent currents due to point obstacles ⋮ On the exponential decay of magnetic Stark resonances ⋮ Absolutely continuous edge spectrum of Hall insulators on the lattice

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