Interplay between Rashba interaction and electromagnetic field in the edge states of a 2D topological insulator
arXiv:1612.07575 · doi:10.1103/PhysRevB.95.085434
Abstract
The effects of Rashba interaction and electromagnetic field on the edge states of a two-dimensional topological insulator are investigated in a non-perturbative way. We show that the electron dynamics is equivalent to a problem of massless Dirac fermions propagating with an inhomogeneous velocity, enhanced by the Rashba profile with respect to the bare Fermi value . Despite the inelastic and time-reversal breaking processes induced by the electromagnetic field, no backscattering occurs without interaction. The photoexcited electron densities are explicitly obtained in terms of the electric field and the Rashba interaction, and are shown to fulfil generalised chiral anomaly equations. The case of a Gaussian electromagnetic pulse is analysed in detail. When the photoexcitation occurs far from the Rashba region, the latter effectively acts as a "superluminal gate" boosting the photoexcited wavepacket outside the light-cone determined by . In contrast, for an electric pulse overlapping the Rashba region the emerging wavepackets are squeezed in a manner that depends on the overlap area. The electron-electron interaction effects are also discussed, for both intra-spin and inter-spin density-density coupling. The results suggest that Rashba interaction, often considered as an unwanted disorder effect, may be exploited to tailor the shape and the propagation time of photoexcited spin-polarised wave packets.
15 pages, 6 figures
References in corpus (74)
- Topological Insulators
- Topological insulators and superconductors
- Quantum Spin Hall Effect in Graphene
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Topological Order and the Quantum Spin Hall Effect
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Topological Insulator Materials
- Spintronics and Pseudospintronics in Graphene and Topological Insulators
- Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
- Evidence for Helical Edge Modes in Inverted InAs/GaSb Quantum Wells
- Nonlocal edge state transport in the quantum spin Hall state
- The Quantum Spin Hall Effect: Theory and Experiment
- Quantum Spin Hall Effect in Inverted Type II Semiconductors
- The Helical Liquid and the Edge of Quantum Spin Hall Systems
- Landauer Conductance of Luttinger Liquids with Leads
- Transport in an inhomogeneous interacting one--dimensional system
- An On-Demand Coherent Single Electron Source
- Is there a renormalization of the 1D conductance in Luttinger Liquid model?
- Dynamics of Inhomogeneous Tomonaga-Luttinger Liquid Wire
- Spin polarization of the quantum spin Hall edge states
- Minimal excitation states of electrons in one-dimensional wires
- Non-Equilibrium Edge Channel Spectroscopy in the Integer Quantum Hall Regime
- Inelastic electron backscattering in a generic helical edge channel
- Electron quantum optics in ballistic chiral conductors
- Optically engineering the topological properties of a spin Hall insulator
- Ultrafast helicity control of surface currents in topological insulators with near-unity fidelity
- Observation of a Helical Luttinger-Liquid in InAs/GaSb Quantum Spin Hall Edges
- Edge Dynamics in a Quantum Spin Hall State: Effects from Rashba Spin-Orbit Interaction
- Images of edge current in InAs/GaSb quantum wells
- Critical Behavior of a Point Contact in a Quantum Spin Hall Insulator
- Clock-controlled emission of single-electron wavepackets in a solid-state circuit
- Phonon induced backscattering in helical edge states
- Corner Junction as a Probe of Helical Edge States
- Integer and fractional charge Lorentzian voltage pulses analyzed in the frame of Photon-assisted Shot Noise
- Single electron quantum tomography in quantum Hall edge channels
- Switching spin and charge between edge states in topological insulator constrictions
- Near-field photocurrent nanoscopy on bare and encapsulated graphene
- Conductivity of a generic helical liquid
- Full electrical control of Charge and Spin conductance through Interferometry of Edge States in Topological Insulators
- Renormalization group approach for the scattering off a single Rashba impurity in a helical liquid
- Ultrafast electronic read-out of diamond NV centers coupled to graphene
- Transport properties of single channel quantum wires with an impurity: Influence of finite length and temperature on average current and noise
- Quantum mechanics of a spin-orbit coupled electron constrained to a space curve
- Magnetoconductance of the quantum spin Hall state
- Time-of-Flight Measurements of Single-Electron Wave Packets in Quantum-Hall Edge States
- Edge states and topological insulating phases generated by curving a nanowire with Rashba spin-orbit coupling
- Tunneling between helical edge states through extended contacts
- Random Rashba spin-orbit coupling at the quantum spin Hall edge
- Electrical switching and interferometry of massive Dirac particles in topological insulators constrictions
- Spintronics and spincaloritronics in topological insulators
- Designing Electron Spin Textures and Spin Interferometers by Shape Deformations
- Charge-spin duality in non-equilibrium transport of helical liquids
- Measurement and control of electron wave packets from a single-electron source
- Topological phases in gated bilayer graphene: Effects of Rashba spin-orbit coupling and exchange field
- Magnetic moments in a helical edge can make weak correlations seem strong
- Proposal for an on-demand source of polarized electrons into the edges of a topological insulator
- Emission of time-bin entangled particles into helical edge states
- Electron tunneling into a quantum wire in the Fabry-Perot regime
- Photogalvanic effect in HgTe/CdTe topological insulator due to edge-bulk optical transitions
- Electrical manipulation and measurement of spin properties of quantum spin Hall edge states
- Optical manipulation of edge state transport in HgTe quantum wells in the quantum hall regime
- Tunnel junction of helical edge states: Determining and controlling spin-preserving and spin-flipping processes through transconductance
- Spin current pumping in helical Luttinger liquids
- Time-resolved energy dynamics after single electron injection into an interacting helical liquid
- Topological Protection from Random Rashba Spin-Orbit Backscattering: Ballistic Transport in a Helical Luttinger Liquid
- Time-resolved pure spin fractionalization and spin-charge separation in helical Luttinger liquid based devices
- Photoexcitation of electron wave packets in quantum spin Hall edge states: effects of chiral anomaly from a localised electric pulse
- Signature of interaction in dc transport of ac gated Quantum Spin Hall edge states
- Spin transistor operation driven by the Rashba spin-orbit coupling in the gated nanowire
- Noise and current correlations in tunnel junctions of Quantum Spin Hall edge states
- Controllable spin entanglement production in a quantum spin Hall ring
- Magnetic AC control of the spin textures in a helical Luttinger liquid
- Evidence for broken Galilean invariance at the quantum spin Hall edge
- Current enhancement through a time dependent constriction in fractional topological insulators
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- Hong-Ou-Mandel heat noise in the quantum Hall regime
- Levitons in helical liquids with Rashba spin-orbit coupling probed by a superconducting contact
- Backscattering in a helical liquid induced by Rashba spin-orbit coupling and electron interactions: locality, symmetry, and cutoff aspects
- Spectral properties of interacting helical channels driven by Lorentzian pulses
- Photoexcitation in two-dimensional topological insulators: Generating and controlling electron wavepackets in Quantum Spin Hall systems
- Graphene with Rashba spin-orbit interaction and coupling to a magnetic layer: Electron states localized at the domain wall
- Charge and spin conductivity of a two-dimensional electron gas with random Rashba interaction
- A topological current divider
- Backscattering off a driven Rashba impurity at the helical edge