1999/10/20 by Pavel Exner, Hynek Kovařík, Hynek Kovarik · 20 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Computational physics #Condensed matter physics #Homogeneous #Invariant (physics) #Magnetic field #Mathematical analysis #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Spectrum (functional analysis) #Statistical physics #Superconductivity #Zero (linguistics) #cond-mat #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1088/0305-4470/33/16/317
published in Journal of Physics A Mathematical and General 33(16), 3297-3311 (Institute of Physics) · 22 pages, a LaTeX source file with three eps figures
arxiv created 1999/10/20 · openalex publication_date 2000/04/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We analyse the spectrum of the `local' Iwatsuka model, i.e. a two-dimensional charged particle interacting with a magnetic field which is homogeneous outside a finite strip and translationally invariant along it. We derive two new sufficient conditions for absolute continuity of the spectrum. We also show that in most cases the number of open spectral gaps of the model is finite. To illustrate these results we numerically investigate the situation when the field is zero in the strip being screened, e.g., by a superconducting mask.