Magnetic strip waveguides

Abstract

We analyze 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 investigate numerically the situation when the field is zero in the strip being screened, e.g. by a superconducting mask.

22 pages, a LaTeX source file with three eps figures

References in corpus (3)

• Quantum states in a magnetic anti-dot
• On edge states in semi-infinite quantum Hall systems
• Electron trapping by a current vortex

Cited by in corpus (11)

• Quantum graphs: an introduction and a brief survey
• On the spectrum of curved quantum waveguides
• Spectra of soft ring graphs
• Landau Levels as a Limiting Case of a Model with the Morse-Like Magnetic Field
• Magnetic transport in a straight parabolic channel
• On an extension of the Iwatsuka model
• A magnetic version of the Smilansky-Solomyak model
• A geometric Iwatsuka type effect in quantum layers
• Absence of embedded eigenvalues for translationally invariant magnetic Laplacians
• Characterization of bulk states in one-edge quantum Hall systems
• Spectrum of the Iwatsuka Hamiltonian at thresholds