Edge currents in the absence of edges

Details Edge currents in the absence of edges Edge currents in the absence of edges

1999-08-17

arxiv.org/abs/cond-mat/9908248v2

Phys. Lett. A264 (1999), 124-130

Physics

Condensed Matter

Final version, to appear in Phys. Lett. A; 10 LaTeX pages with 3 eps figures

Scientific paper

10.1016/S0375-9601(99)00804-X

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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