Edge currents in the absence of edges
arXiv:cond-mat/9908248 · doi:10.1016/S0375-9601(99)00804-X
Abstract
We investigate a charged two-dimensional particle in a homogeneous magnetic field interacting with a periodic array of point obstacles. We show that while Landau levels remain to be infinitely degenerate eigenvalues, between them the system has bands of absolutely continuous spectrum and exhibits thus a transport along the array. We also compute the band functions and the corresponding probability current.
Final version, to appear in Phys. Lett. A; 10 LaTeX pages with 3 eps figures
References in corpus (1)
Cited by in corpus (10)
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- Bound states of infinite curved polymer chains
- Landau Levels as a Limiting Case of a Model with the Morse-Like Magnetic Field
- Magnetic transport in a straight parabolic channel
- Persistent currents due to point obstacles
- Spectrum of the Iwatsuka Hamiltonian at thresholds