Backscattering Between Helical Edge States via Dynamic Nuclear Polarization

Abstract

We show that that the non-equilibrium spin polarization of one dimensional helical edge states at the boundary of a two dimensional topological insulator can dynamically induce a polarization of nuclei via the hyperfine interaction. When combined with a spatially inhomogeneous Rashba coupling, the steady state polarization of the nuclei produces backscattering between the topologically protected edge states leading to a reduction in the conductance which persists to zero temperature. We study these effects in both short and long edges, uncovering deviations from Ohmic transport at finite temperature and a current noise spectrum which may hold the fingerprints for experimental verification of the backscattering mechanism.

4+ pages, 4 figures

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Cited by in corpus (47)

• Images of edge current in InAs/GaSb quantum wells
• Conductivity of a generic helical liquid
• Localization at the Edge of 2D Topological Insulator by Kondo Impurities with Random Anisotropies
• Interplay of exciton condensation and quantum spin Hall effect in InAs/GaSb bilayers
• Nuclear-spin-induced localization of the edge states in two-dimensional topological insulators
• Proposal for the detection and braiding of Majorana fermions in a quantum spin Hall insulator
• Effects of nuclear spins on the transport properties of the edge of two-dimensional topological insulators
• Random Rashba spin-orbit coupling at the quantum spin Hall edge
• Nonlocal resistance and its fluctuations in microstructures of band-inverted HgTe/(Hg,Cd)Te quantum wells
• Helical Liquids in Semiconductors
• Backscattering in helical edge states from a magnetic impurity and Rashba disorder
• Hyperfine interactions in two-dimensional HgTe topological insulators
• Single-edge transport in an InAs/GaSb quantum spin Hall insulator
• Shot noise in the edge states of 2D topological insulators
• Current noise from a magnetic moment in a helical edge
• Current-induced gap opening in interacting topological insulator surfaces
• Effects of charge dopants in quantum spin Hall materials
• Does delta-$T$ noise probe quantum statistics?
• Signatures of dephasing by mirror-symmetry breaking in weak-antilocalization magnetoresistance across the topological transition in Pb${}_{1-x}$Sn${}_x$Se
• Work Extraction and Landauer's Principle in a Quantum Spin Hall Device
• Unrestricted electron bunching at the helical edge
• Optical properties of helical edge channels in zinc-blende-type topological insulators: Selection rules, circular and linear dichroism, circular and linear photocurrents
• Controlling spin polarization of a quantum dot via a helical edge state
• Optical bulk-boundary dichotomy in a quantum spin Hall insulator
• Topological insulator ring with magnetic impurities
• Breakdown of helical edge state topologically protected conductance in time-reversal-breaking excitonic insulators
• Theory of Glide Symmetry Protected Helical Edge States in WTe${}_2$ Monolayer
• Finite frequency backscattering current noise at a helical edge
• Interplay of quantum spin Hall effect and spontaneous time-reversal symmetry breaking in electron-hole bilayers I: Transport properties
• Noise in the helical edge channel anisotropically coupled to a local spin
• Voltage induced conversion of helical to uniform nuclear spin polarization in a quantum wire
• Localization of trivial edge states in InAs/GaSb composite quantum wells
• Dynamic nuclear spin polarization induced by Edelstein effect at Bi(111) surfaces
• Limitation of electron mobility from hyperfine interaction in ultra-clean quantum wells and topological insulators
• Robustness of Helical Edge States Under Edge Reconstruction
• Structure factor of interacting one-dimensional helical systems
• Unprotected edge modes in quantum spin Hall insulator candidate materials
• Dynamic Nuclear Polarization from Topological Insulator Helical Edge States
• Sub- to Super-Poissonian crossover of current noise in helical edge states coupled to a spin impurity in a magnetic field
• Chiral detection of Majorana bound states at the edge of a quantum spin Hall insulator
• Dynamics of impurity in the environment of Dirac fermions
• Spin-polarized voltage probes for helical edge state: a model study
• Interaction- and phonon-induced topological phase transitions in double helical liquids
• Robust qubit interactions mediated by photonic topological edge states
• Robust Majorana bound state in pseudo-spin domain wall of 2-D topological insulator
• Edge Reconstruction in a Quantum Spin Hall Insulator
• Microwave Photocurrent from the Helical Edge state of InAs/GaInSb Bilayers