Pavel Exner, Alain Joye, Hynek Kovarik
Edge currents without edges
(159K, revtex with 3 eps figures)

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.