Backscattering off a driven Rashba impurity at the helical edge
arXiv:2005.13906 · doi:10.1103/PhysRevB.102.195413
Abstract
The spin degree of freedom is crucial for both understanding and exploiting the particular properties of the edges of two-dimensional topological insulators. In the absence of superconductivity and magnetism, Rashba coupling is the most relevant single particle perturbation in this system. Since Rashba coupling does not break time reversal symmetry, its influence on transport properties is only visible if processes that do not conserve the single particle energy are included. Paradigmatic examples of such processes are electron-electron interactions and time dependent external drivings. We analyze the effects of a periodically driven Rashba impurity at the helical edge, in the presence of electron-electron interactions. Interactions are treated by means of bosonization and the backscattering current is computed perturbatively up to second order in the impurity strength. We show that the backscattering current is non-monotonic in the driving frequency. This property is a fingerprint of the Rashba impurity, being absent in the case of a magnetic impurity in the helical liquid. Moreover, the non-monotonic behaviour allows us to directly link the backscattering current to the Luttinger parameter , encoding the strength of electron-electron interactions.
arXiv comment5+4 pages, 2 figures
References in corpus (65)
- 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
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Superconducting Spintronics
- Bismuthene on a SiC Substrate: A Candidate for a New High-Temperature Quantum Spin Hall Paradigm
- 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
- Observation of the Quantum Spin Hall Effect up to 100 Kelvin in a Monolayer Crystal
- The Helical Liquid and the Edge of Quantum Spin Hall Systems
- Stability of the quantum spin Hall effect: effects of interactions, disorder, and Z_2 topology
- Landauer Conductance of Luttinger Liquids with Leads
- Transport in an inhomogeneous interacting one--dimensional system
- Bosonization for Beginners --- Refermionization for Experts
- Universal topological quantum computation from a superconductor/Abelian quantum Hall heterostructure
- Is there a renormalization of the 1D conductance in Luttinger Liquid model?
- Dynamics of Inhomogeneous Tomonaga-Luttinger Liquid Wire
- Gapless Andreev bound states in the quantum spin Hall insulator HgTe
- Inelastic electron backscattering in a generic helical edge channel
- Time-Reversal Invariant Parafermions in Interacting Rashba Nanowires
- Josephson radiation from gapless Andreev bound states in HgTe-based topological junctions
- 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
- Time-Reversal-Invariant Fractional Josephson Effect
- Phonon induced backscattering in helical edge states
- Unexpected edge conduction in HgTe quantum wells under broken time reversal symmetry
- Prediction of a large-gap and switchable Kane-Mele quantum spin Hall insulator
- Kramers Pairs of Majorana Fermions and Parafermions in Fractional Topological Insulators
- Tomonaga-Luttinger liquid in the edge channels of a quantum spin Hall insulator
- Conductivity of a generic helical liquid
- Non-Abelian parafermions in time-reversal invariant interacting helical systems
- 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
- A dynamic scattering approach for a gated interacting wire
- Transport properties of single channel quantum wires with an impurity: Influence of finite length and temperature on average current and noise
- Interacting topological edge channels
- Magnetic properties of HgTe quantum wells
- Random Rashba spin-orbit coupling at the quantum spin Hall edge
- How backscattering off a point impurity can enhance the current and make the conductance greater than e^2/h per channel
- Edge states and integer quantum Hall effect in topological insulator thin films
- Magnetic moments in a helical edge can make weak correlations seem strong
- Detection of Majorana Kramers pairs using a quantum point contact
- Devices with electrically tunable topological insulating phases
- Noise-induced backscattering in a quantum-spin-Hall edge
- Robustness of Quantum Spin Hall Effect in an External Magnetic Field
- Creation of spin-triplet Cooper pairs in the absence of magnetic ordering
- Transport through a quantum spin Hall quantum dot
- Fabry-Perot interference and spin filtering in carbon nanotubes
- parafermions in weakly interacting superconducting constrictions at the helical edge of quantum spin Hall insulators
- The chiral anomaly in real space
- Helical Quantum Edge Gears in 2D Topological Insulators
- Topological Protection from Random Rashba Spin-Orbit Backscattering: Ballistic Transport in a Helical Luttinger Liquid
- Spin textures of strongly correlated spin Hall quantum dots
- Transport properties of a Luttinger liquid in the presence of several time-dependent impurities
- Unified time-dependent perturbative relations applied to spectroscopy through photo-drag current
- Levitons in helical liquids with Rashba spin-orbit coupling probed by a superconducting contact
- Point contacts and localization in generic helical liquids
- Backscattering in a helical liquid induced by Rashba spin-orbit coupling and electron interactions: locality, symmetry, and cutoff aspects
- Quantum stirring as a sensitive probe of 1D superfluidity
- Interplay between Rashba interaction and electromagnetic field in the edge states of a 2D topological insulator
- Photoexcitation in two-dimensional topological insulators: Generating and controlling electron wavepackets in Quantum Spin Hall systems
- Transport properties of a quantum wire: the role of extended time-dependent impurities
- Evidence for broken Galilean invariance at the quantum spin Hall edge