Edge currents in the absence of edges

Pavel Exner; Alain Joye; Hynek Kovarik

doi:10.1016/s0375-9601(99)00804-x

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Edge currents in the absence of edges

Pavel Exner·Alain Joye·Hynek Kovarik

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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.

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Pavel Exner, Alain Joye, Hynek Kovarik. 1999-11-12. Edge currents in the absence of edges. https://doi.org/10.1016/s0375-9601(99)00804-x

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