99-299 Pavel Exner, Alain Joye, Hynek Kovarik

Edge currents without edges (159K, revtex with 3 eps figures) Aug 18, 99

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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. In distinction to the usual edge states, this is a purely quantum effect. We compute the band functions and the corresponding probability current.

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