Dynamics of the (spin-) Hall effect in topological insulators and graphene

Details Dynamics of the (spin-) Hall effect in topological insulators and graphene Dynamics of the (spin-) Hall effect in topological insulators and graphene

2010-08-03

arxiv.org/abs/1008.0531v1

Phys. Rev. B 83, 073403 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevB.83.073403

A single two-dimensional Dirac cone with a mass gap produces a quantized (spin-) Hall step in the absence of magnetic field. What happens in strong electric fields? This question is investigated by analyzing time evolution and dynamics of the (spin-) Hall effect. After switching on a longitudinal electric field, a stationary Hall current is reached through damped oscillations. The Hall conductivity remains quantized as long as the electric field (E) is too weak to induce Landau-Zener transitions, but quantization breaks down for strong fields and the conductivity decreases as 1/sqrt{E}. These apply to the (spin-) Hall conductivity of graphene and the Hall and magnetoelectric response of topological insulators.

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