Helical edge states coupled to a spin bath: Current-induced magnetization
arXiv:1207.2676 · doi:10.1103/PhysRevB.86.035112
Abstract
We study current carrying helical edge states in a two-dimensional topological insulator coupled to an environment of localized spins, i.e. a spin bath. The localized spins mediate elastic spin-flip scattering between the helical edge states, and we show how this induces a spin-bath magnetization for a finite current through the edge states. The magnetization appears near the boundaries of the topological insulator, while the bulk remains unmagnetized, and it reaches its maximal value in the high bias regime. Furthermore, the helical edge states remain ballistic in steady state, if no additional spin-flip mechanisms for the localized spins are present. However, we demonstrate that if such mechanisms are allowed, then these will induce a finite current decrease from the ballistic value.
8 pages, 3 figures. Chosen for "Editors' Suggestion" in Physical Review B
References in corpus (29)
- Topological Insulators
- Topological insulators and superconductors
- Quantum Spin Hall Effect in Graphene
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Nonlocal edge state transport in the quantum spin Hall state
- The Quantum Spin Hall Effect: Theory and Experiment
- Magnetic impurities on the surface of a topological insulator
- Finite size effects of helical edge states in HgTe/CdTe quantum wells
- Well-localized edge states in two-dimensional topological insulators: ultrathin Bi films
- Spin polarization of the quantum spin Hall edge states
- Band structure of semimagnetic Hg1-yMnyTe quantum wells
- Electrically controllable surface magnetism on the surface of topological insulator
- Kondo effect in the helical edge liquid of the quantum spin Hall state
- Inelastic electron backscattering in a generic helical edge channel
- Fingerprint of Different Spin-Orbit Terms for Spin Transport in HgTe Quantum Wells
- Conductance of a helical edge liquid coupled to a magnetic impurity
- Phonon induced backscattering in helical edge states
- Switching spin and charge between edge states in topological insulator constrictions
- Surface magnetic ordering in topological insulators with bulk magnetic dopants
- Universal mechanism of spin relaxation in solids
- Three-particle collisions in quantum wires: Corrections to thermopower and conductance
- Interaction-Induced Resonance in Conductance and Thermopower of Quantum Wires
- Anomalous Hall response of topological insulators
- Spin Susceptibility and Helical Magnetic Orders at the Edges/Surfaces of Topological Insulators Due to Fermi Surface Nesting
- Conductance of fully equilibrated quantum wires
- In-plane noncollinear exchange coupling mediated by helical edge states in Quantum Spin Hall system
- Transport in partially equilibrated inhomogeneous quantum wires
- Spin-phonon coupling in single Mn doped CdTe quantum dot
Cited by in corpus (48)
- Images of edge current in InAs/GaSb quantum wells
- 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
- Effects of nuclear spins on the transport properties of the edge of two-dimensional topological insulators
- Backscattering Between Helical Edge States via Dynamic Nuclear Polarization
- 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
- Photogalvanic effect in HgTe/CdTe topological insulator due to edge-bulk optical transitions
- Noncollinear magnetic phases and edge states in graphene quantum Hall bars
- Generic helical edge states due to Rashba spin-orbit coupling in a topological insulator
- Shot noise in the edge states of 2D topological insulators
- Current noise from a magnetic moment in a helical edge
- Spin-orbit interactions in a helical Luttinger liquid with a Kondo impurity
- Effects of charge dopants in quantum spin Hall materials
- Helical spin thermoelectrics controlled by a side-coupled magnetic quantum dot in the quantum spin Hall state
- Evidence on the macroscopic length scale spin coherence for the edge currents in a narrow HgTe quantum well
- Work Extraction and Landauer's Principle in a Quantum Spin Hall Device
- Magnetic AC control of the spin textures in a helical Luttinger liquid
- Controlling spin polarization of a quantum dot via a helical edge state
- Optical properties of helical edge channels in zinc-blende-type topological insulators: Selection rules, circular and linear dichroism, circular and linear photocurrents
- Interplay of quantum spin Hall effect and spontaneous time-reversal symmetry breaking in electron-hole bilayers I: Transport properties
- Conductance oscillations in quantum point contacts of InAs/GaSb heterostructures
- Majorana bound states in topological insulators with hidden Dirac points
- Current-induced switching of magnetic molecules on topological insulator surfaces
- 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
- Spin-pumping and inelastic electron tunneling spectroscopy in topological insulators
- Robustness of Helical Edge States Under Edge Reconstruction
- Unprotected edge modes in quantum spin Hall insulator candidate materials
- The effect of magnetic impurity scattering on transport in topological insulators
- Temperature-dependent dynamical nuclear polarization bistabilities in double quantum dots in the spin-blockade regime
- Spin current in an electron waveguide tunnel-coupled to topological insulator
- Chiral detection of Majorana bound states at the edge of a quantum spin Hall insulator
- Resistively detected NMR as a probe of the topological nature of conducting edge/surface states
- Transport in quantum spin Hall edges in contact to a quantum dot
- Spin-polarized voltage probes for helical edge state: a model study
- Effects of electron-hole asymmetry on electronic structure of helical edge states in HgTe/HgCdTe quantum wells
- Interaction- and phonon-induced topological phase transitions in double helical liquids
- AC Response of the Edge States in a Two-Dimensional Topological Insulator Coupled to a Conducting Puddle
- Enhanced lifetimes of spin chains coupled to chiral edge states
- Electrically-detected single-spin resonance with Quantum Spin Hall edge states
- Unidirectional magneto-transport of linearly dispersing topological edge states
- Robust Majorana bound state in pseudo-spin domain wall of 2-D topological insulator
- Finite-frequency admittance and noise of a helical edge coupled to a magnet
- Edge Reconstruction in a Quantum Spin Hall Insulator