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

Abstract

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.

4 pages, 3 figures

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Cited by in corpus (15)

• Quantum Quenches in Chern Insulators
• Transport in three-dimensional topological insulators: theory and experiment
• Spin-helical transport in normal and superconducting topological insulators
• Dirac fermions in strong electric field and quantum transport in graphene
• Low-dimensional approach to pair production in an oscillating electric field: Application to bandgap graphene layers
• Anomalous spin precession and spin Hall effect in semiconductor quantum wells
• Vacuum instability in slowly varying electric fields
• Non-equilibrium transport in the pseudospin-1 Dirac-Weyl system
• Mesoscopic spin Hall effect along a potential step in graphene
• Nonequilibrium transport and statistics of Schwinger pair production in Weyl semimetals
• Dynamic Symmetries and Quantum Nonadiabatic Transitions
• Non-cancellation of the parity anomaly in the strong-field regime of QED${}_{2+1}$
• Zener tunneling isospin Hall effect in HgTe quantum wells and graphene multilayers
• Ultra-high mechanical stretchability and controllable topological phase transitions in two-dimensional arsenic
• The d-p band-inversion topological insulator in bismuth-based skutterudites