Tunneling between helical edge states through extended contacts

Abstract

We consider a quantum spin Hall system in a two-terminal setup, with an extended tunneling contact connecting upper and lower edges. We analyze the effects of this geometry on the backscattering current as a function of voltage, temperature, and strength of the electron interactions. We find that this configuration may be useful to confirm the helical nature of the edge states and to extract their propagation velocity. By comparing with the usual quantum point contact geometry, we observe that the power-law behaviors predicted for the backscattering current and the linear conductance are recovered for low enough energies, while different power-laws also emerge at higher energies.

8 pages, 6 figures, published version

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• 3D Dynamics of 4D Topological BF Theory With Boundary
• Transport phenomena in helical edge states interferometers. A Green's function approach
• Correlation functions for the detection of Wigner molecules in a one-channel Luttinger liquid quantum dot
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• Hong-Ou-Mandel heat noise in the quantum Hall regime
• Noise and current correlations in tunnel junctions of Quantum Spin Hall edge states
• Levitons in helical liquids with Rashba spin-orbit coupling probed by a superconducting contact
• Non-linear Coulomb blockade microscopy of a correlated one-dimensional quantum dot
• Point contacts and localization in generic helical liquids
• Observation of the scaling dimension of fractional quantum Hall anyons
• Finite frequency noise in a quantum point contact between helical edge states
• Interaction-enhanced magnetically ordered insulating state at the edge of a two-dimensional topological insulator
• Non-equilibrium effects on charge and energy partitioning after an interaction quench
• Interaction effects in a multi-channel Fabry-Pérot interferometer in the Aharonov-Bohm regime
• Interplay between Rashba interaction and electromagnetic field in the edge states of a 2D topological insulator
• Effects of disorder on electron tunneling through helical edge states
• Edge Physics of the Quantum Spin Hall Insulator from a Quantum Dot Excited by Optical Absorption
• Universal scaling of quench-induced correlations in a one-dimensional channel at finite temperature
• Current cross-correlations in a quantum Hall collider at filling factor two
• Tunneling into quantum wires: regularization of the tunneling Hamiltonian and consistency between free and bosonized fermions
• Interaction effects in non-equilibrium transport properties of a four-terminal topological corner junction
• Current enhancement through a time dependent constriction in fractional topological insulators
• Electrically controlled crossing of energy levels in quantum dots in two-dimensional topological insulators
• Emission of entangled Kramers pairs from a helical mesoscopic capacitor
• Spin current in an electron waveguide tunnel-coupled to topological insulator
• Tunneling between helical Majorana modes and helical Luttinger liquids
• Charge and spin density in the helical Luttinger liquid