Nuclear-spin-induced localization of the edge states in two-dimensional topological insulators

Abstract

We investigate the influence of nuclear spins on the resistance of helical edge states of two-dimensional topological insulators (2DTIs). Via the hyperfine interaction, nuclear spins allow electron backscattering, otherwise forbidden by time reversal symmetry. We identify two backscattering mechanisms, depending on whether the nuclear spins are ordered or not. Their temperature dependence is distinct but both give resistance, which increases with the edge length, decreasing temperature, and increasing strength of the electron-electron interaction. Overall, we find that the nuclear spins will typically shut down the conductance of the 2DTI edges at zero temperature.

5 pages, 3 figures, revised version accepted for publication in Phys. Rev. B

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Cited by in corpus (68)

• Majorana Kramers pairs in higher-order topological insulators
• Failure of conductance quantization in two-dimensional topological insulators due to non-magnetic impurities
• Effects of nuclear spins on the transport properties of the edge of two-dimensional topological insulators
• Majorana Kramers pairs in Rashba double nanowires with interactions and disorder
• Noise-induced backscattering in a quantum-spin-Hall edge
• Helical Liquids in Semiconductors
• Mesoscopic transport in two-dimensional topological insulators
• Kondo Impurities Coupled to Helical Luttinger Liquid: RKKY-Kondo Physics Revisited
• Gapless insulating edges of dirty interacting topological insulators
• Conductance of quantum spin Hall edge states from first principles: the critical role of magnetic impurities and inter-edge scattering
• Current-induced gap opening in interacting topological insulator surfaces
• Helical edge transport in the presence of a magnetic impurity: the role of local anisotropy
• Velocity-determined anisotropic behaviors of RKKY interaction in 8-\textit{Pmmn} borophene
• Work Extraction and Landauer's Principle in a Quantum Spin Hall Device
• Hinge states in a system of coupled Rashba layers
• Disorder-dressed quantum evolution
• Unrestricted electron bunching at the helical edge
• Zitterbewegung and bulk-edge Landau-Zener tunneling in topological insulators
• Quantitative theory of backscattering in topological HgTe and (Hg,Mn)Te quantum wells: acceptor states, Kondo effect, precessional dephasing, and bound magnetic polaron
• Charge transport of a spin-orbit-coupled Luttinger liquid
• Anomalous localization at the boundary of an interacting topological insulator
• Noise insights into electronic transport
• Breakdown of helical edge state topologically protected conductance in time-reversal-breaking excitonic insulators
• Topological insulator ring with magnetic impurities
• Conductance of fractional Luttinger liquids at finite temperatures
• Theory of Glide Symmetry Protected Helical Edge States in WTe${}_2$ Monolayer
• Electrically tunable correlated domain wall network in twisted bilayer graphene
• Finite frequency backscattering current noise at a helical edge
• Composite helical edges from Abelian fractional topological insulators
• Signatures of interfacial topological chiral modes via RKKY exchange interaction in Dirac and Weyl systems
• Elastic backscattering of quantum spin Hall edge modes from Coulomb interactions with non-magnetic impurities
• Protection of Edge transport in Quantum Spin Hall samples: Spin-Symmetry Based General Approach and Examples
• Chiral Lattice Supersolid on Edges of Quantum Spin Hall Samples
• Edge States in Lateral p-n Junctions in Inverted Band HgTe Quantum Wells
• Analytical and Numerical study of the out-of-equilibrium current through a helical edge coupled to a magnetic impurity
• Gap formation in helical edge states with magnetic impurities
• Localization of trivial edge states in InAs/GaSb composite quantum wells
• RKKY coupling in Weyl semimetal thin films
• Non-local control of spin-spin correlation in finite geometry helical edge
• Robustness of Helical Edge States Under Edge Reconstruction
• Suppression of ballistic helical transport by isotropic dynamical magnetic impurities
• Characterization of helical Luttinger liquids in microwave stepped-impedance edge resonators
• Chiral numerical renormalization group
• Localization of the Helical Edge States in the Absense of External Magnetic Field
• Dynamic Nuclear Polarization from Topological Insulator Helical Edge States
• RKKY interaction in one-dimensional flat-band lattices
• Universal conductance dips and fractional excitations in a two-subband quantum wire
• 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
• RKKY interaction at helical edges of topological superconductors
• RKKY to Kondo crossover in Helical Edge of a Topological Insulator
• Transport in Magnetically Doped One-Dimensional Wires: Can the Helical Protection Emerge without the Global Helicity?
• Formation of bound states from the edge states of 2D topological insulator by macroscopic magnetic barriers
• Interaction- and phonon-induced topological phase transitions in double helical liquids
• Suppressing backscattering of helical edge modes with a spin bath
• Electrically-detected single-spin resonance with Quantum Spin Hall edge states
• Finite-temperature spectroscopy of dirty helical Luttinger liquids
• Unidirectional magneto-transport of linearly dispersing topological edge states
• Electron-electron interactions in partially mixed helical states
• Dissipative Hot-spot Enabled Shock and Bounce Dynamics via Terahertz Quantum Quenches in Helical Edge States
• Robust Majorana bound state in pseudo-spin domain wall of 2-D topological insulator
• Thermal dissipation of the quantum spin Hall edge states in HgTe/CdTe quantum well
• Dominant superconducting correlations in a Luttinger liquid induced by spin fluctuations
• Coupled-wire descriptions of unconventional quantum states in twisted nanostructures
• Spin responses of a disordered helical superconducting edge under Zeeman field
• Edge Reconstruction in a Quantum Spin Hall Insulator
• Quasi-two-dimensional spin helix and magnon-induced singularity in twisted bilayer graphene
• Disordered contacts can localize helical edge electrons