Corner Junction as a Probe of Helical Edge States

Abstract

We propose and analyze inter-edge tunneling in a quantum spin Hall corner junction as a means to probe the helical nature of the edge states. We show that electron-electron interactions in the one-dimensional helical edge states result in Luttinger parameters for spin and charge that are intertwined, and thus rather different than those for a quantum wire with spin rotation invariance. Consequently, we find that the four-terminal conductance in a corner junction has a distinctive form that could be used as evidence for the helical nature of the edge states.

4+ pages, 3 figures

References in corpus (16)

• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulators in Three Dimensions
• Topological invariants of time-reversal-invariant band structures
• Quantum Spin Hall Effect
• Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors
• 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
• Junctions of three quantum wires
• Tunneling in Quantum Wires: a Boundary Conformal Field Theory Approach
• Bosonization and Scale Invariance on Quantum Wires
• Junctions of three quantum wires for spin 1/2 electrons
• Spin current and accumulation generated by spin Hall insulator
• Quasi-ballistic transport in HgTe quantum-well nanostructures

Cited by in corpus (106)

• Topological insulators and superconductors
• 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
• Critical Behavior of a Point Contact in a Quantum Spin Hall Insulator
• Phonon induced backscattering in helical edge states
• Topological insulators and fractional quantum Hall effect on the ruby lattice
• Full electrical control of Charge and Spin conductance through Interferometry of Edge States in Topological Insulators
• Spatially resolved study of backscattering in the quantum spin Hall state
• Helical Luttinger liquid in topological insulator nanowires
• Renormalization group approach for the scattering off a single Rashba impurity in a helical liquid
• Nuclear-spin-induced localization of the edge states in two-dimensional topological insulators
• Interacting topological edge channels
• A study on correlation effects in two dimensional topological insulators
• Effects of nuclear spins on the transport properties of the edge of two-dimensional topological insulators
• Failure of conductance quantization in two-dimensional topological insulators due to non-magnetic impurities
• Tunneling between helical edge states through extended contacts
• Current Correlations in Quantum Spin Hall Insulators
• Electrically Controlled Pumping of Spin Currents in Topological Insulators
• Electrical switching and interferometry of massive Dirac particles in topological insulators constrictions
• Charge-spin duality in non-equilibrium transport of helical liquids
• Lattice distortion effects on topological phases in (LaNiO${}_3$)${}_2$/(LaAlO${}_3$)${}_N$ heterostructures grown along the [111] direction
• Proposal for an on-demand source of polarized electrons into the edges of a topological insulator
• Tunable quantum spin Hall effect in double quantum wells
• Helical Liquids in Semiconductors
• Spin polarised scanning tunneling probe for helical Luttinger liquids
• Spectral properties of Luttinger liquids: A comparative analysis of regular, helical, and spiral Luttinger liquids
• Interacting two helical edge modes in quantum spin Hall systems
• Generating and controlling spin-polarized currents induced by a quantum spin Hall antidot
• Coulomb blockade microscopy of spin density oscillations and fractional charge in quantum spin Hall dots
• Electronic Hong-Ou-Mandel interferometry in two-dimensional topological insulators
• Magnetic field induced Fabry-Pérot resonances in helical edge states
• Non-equilibrium Steady States of Quantum Systems on Star Graphs
• Electrical manipulation and measurement of spin properties of quantum spin Hall edge states
• ${\mathbb{Z}}_4$ parafermions in weakly interacting superconducting constrictions at the helical edge of quantum spin Hall insulators
• Coherent Oscillations and Giant Edge Magnetoresistance in Singly Connected Topological Insulators
• Electrical control of the Kondo effect in a helical edge liquid
• Topological Insulators and Quantum Spin Liquids
• Tunnel junction of helical edge states: Determining and controlling spin-preserving and spin-flipping processes through transconductance
• Spin current pumping in helical Luttinger liquids
• In-plane noncollinear exchange coupling mediated by helical edge states in Quantum Spin Hall system
• Quantum wire junctions breaking time reversal invariance
• 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
• Dephasing of spin and charge interference in helical Luttinger liquids
• Helical nuclear spin order in two-subband quantum wires
• Z2 peak of noise correlations in a quantum spin Hall insulator
• Polarized heat current generated by quantum pumping in two-dimensional topological insulators
• Spin-orbit interactions in a helical Luttinger liquid with a Kondo impurity
• Spin Transfer Torque and Electric Current in Helical Edge States in Quantum Spin Hall Devices
• Gate-controlled one-dimensional channel on the topological surface
• Transport phenomena in helical edge states interferometers. A Green's function approach
• Signature of interaction in dc transport of ac gated Quantum Spin Hall edge states
• Quantum Fields on Star Graphs with Bound States at the Vertex
• Coulomb drag between helical edge states
• Energy flow and fluctuations in non-equilibrium conformal field theory on star graphs
• Noninvasive Probe of Charge Fractionalization in Quantum Spin-Hall Insulators
• Boundary edge networks induced by bulk topology
• Probing helicity and the topological origins of helicity via non-local Hanbury-Brown and Twiss correlations
• Point contacts and localization in generic helical liquids
• Probing fractional topological insulators with magnetic edge perturbations
• Finite frequency noise in a quantum point contact between helical edge states
• Duality in multi-channel Luttinger Liquid with local scatterer
• $\pi$ Spin Berry Phase in a Quantum-Spin-Hall-Insulator-Based Interferometer: Evidence for the Helical Spin Texture of the Edge States
• Chiral Y-junction of Luttinger liquid wires at weak coupling: lines of stable fixed points
• Nonequilibrium noise correlations in a point contact of helical edge states
• Interaction-enhanced magnetically ordered insulating state at the edge of a two-dimensional topological insulator
• Interplay between Rashba interaction and electromagnetic field in the edge states of a 2D topological insulator
• Off-critical Luttinger Junctions
• Local impurity in multichannel Luttinger liquid
• Synthetic helical liquid in a quantum wire
• Platforms for the realization and characterization of Tomonaga-Luttinger liquids
• Superfluid-Insulator transition of quantum Hall domain walls in bilayer graphene
• Effects of disorder on electron tunneling through helical edge states
• Transport via double constrictions in integer and fractional topological insulators
• Critical Behavior of Four-Terminal Conductance of Bilayer Graphene Domain Walls
• Elastic backscattering of quantum spin Hall edge modes from Coulomb interactions with non-magnetic impurities
• Interaction-induced supercurrent in quantum Hall setups
• Edge Physics of the Quantum Spin Hall Insulator from a Quantum Dot Excited by Optical Absorption
• Localized surfaces of three dimensional topological insulators
• Predicting Excitonic Gaps of Semiconducting Single Walled Carbon Nanotubes From a Field Theoretic Analysis
• Confining electrons on a topological insulator surface using potentials and a magnetic field
• Straining the Identity of Majorana Fermions
• Interaction effects in non-equilibrium transport properties of a four-terminal topological corner junction
• Role of a Phase Factor in the Boundary Condition of a One-Dimensional Junction
• Unusual spin dynamics in topological insulators
• Helical Luttinger liquid on the edge of a 2-dimensional topological antiferromagnet
• Localization of the Helical Edge States in the Absense of External Magnetic Field
• Gate controlled Spin-Density Wave and Chiral FFLO Superconducting phases in interacting Quantum Spin Hall edge states
• Current enhancement through a time dependent constriction in fractional topological insulators
• Tunneling into and between helical edge states - fermionic approach
• Electrical modulation of the edge channel transport in topological insulators coupled to ferromagnetic leads
• Nonequilibrium transport of helical Luttinger liquids through a quantum dot
• The Partially-Split Hall Bar: Tunneling in the Bosonic Integer Quantum Hall Effect
• Spin Berry phase in a helical edge state: Sz nonconservation and transport signatures
• Transport and STM studies of hyperbolic surface states of topological insulators
• Edge spin transport in the disordered two-dimensional topological insulator WTe${}_2$
• Fingerprints of bosonic symmetry protected topological state in a quantum point contact
• Spin-polarized tunneling into helical edge states: asymmetry and conductances
• A topological current divider
• Universal Duality in Luttinger Liquid Coupled to Generic Environment
• Two-channel Kondo problem in coupled interacting helical liquids
• Hanbury Brown and Twiss Correlations of Cooper Pairs in Helical Liquids
• Tunneling spectroscopy between one-dimensional helical conductors
• Random-gate-voltage induced Al'tshuler-Aronov-Spivak effect in topological edge states
• Quantum critical points in tunneling junction of topological superconductor and topological insulator
• Strongly Correlated Transport in Topological Y-Junction Devices