Non-adiabatic effect on Laughlin's argument of the quantum Hall effect

Details Non-adiabatic effect on Laughlin's argument of the quantum Hall effect Non-adiabatic effect on Laughlin's argument of the quantum Hall effect

2008-06-27

arxiv.org/abs/0806.4430v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 6 figures

Scientific paper

10.1088/1742-6596/150/2/022055

We have numerically studied a non-adiabatic charge transport in the quantum Hall system pumped by a magnetic flux, as one of the simplest theoretical realizations of non-adiabatic Thouless pumping. In the adiabatic limit, a pumped charge is quantized, known as Laughlin's argument in a cylindrical lattice. In a uniform electric field, we obtained a formula connecting quantized pumping in the adiabatic limit and no-pumping in the sudden limit. The intermediate region between the two limits is determined by the Landau gap. A randomness or impurity effect is also discussed.

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