Edge currents in the absence of edges

DOI10.1016/S0375-9601(99)00804-XzbMath0940.82059arXivcond-mat/9908248OpenAlexW1990214579MaRDI QIDQ1569447

Hynek Kovařík, Alain Joye, Pavel Exner

Publication date: 3 July 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9908248

zbMATH Keywords

probability currentband functionsbands of absolutely continuous spectrumcharged two-dimensional particlehomogeneous matnetic field

Mathematics Subject Classification ID

Applications of statistical mechanics to specific types of physical systems (82D99)

Related Items (7)

Quantum mechanics of layers with a finite number of point perturbations ⋮ EDGE CURRENTS FOR QUANTUM HALL SYSTEMS I: ONE-EDGE, UNBOUNDED GEOMETRIES ⋮ On a quantum Hamiltonian in a unitary magnetic field with axisymmetric potential ⋮ Spectrum of the Iwatsuka Hamiltonian at thresholds ⋮ Landau levels as a limiting case of a model with the Morse-like magnetic field ⋮ Persistent currents due to point obstacles ⋮ On the spectrum of curved planar waveguides

Cites Work

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• Examples of absolutely continuous Schrödinger operators in magnetic fields
• Some propagation properties of the Iwatsuka model
• Characterization of the spectrum of the Landau Hamiltonian with delta impurities
• Resonance statistics in a microwave cavity with a thin antenna
• Electron states in a magnetic field and random impurity potential: use of the theory of entire functions

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