Distributed Current Injection into a One-Dimensional Ballistic Edge Channel

Abstract

We generalize Landauer's theory of ballistic transport in a one-dimensional (1D) conductor to situations where charge carrier injection and extraction are not any more confined to electrodes at either end of the channel, but may occur along its whole length. This type of distributed injection is expected to occur from the two-dimensional (2D) bulk of, e.g., a quantum spin (or anomalous) Hall insulator to its topologically protected edge states. We apply our conceptual solution to the case of two metal electrodes contacting the 2D bulk, enabling us to derive criteria that discriminate ballistic from resistive edge channels in multi-terminal transport experiments.

Main Text (6 pages, 3 figures) and Supplemental Material (15 pages, 4 figures)

References in corpus (26)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Magnetic-field-induced quantized anomalous Hall effect in intrinsic magnetic topological insulator MnBi${}_2$Te${}_4$
• Bismuthene on a SiC Substrate: A Candidate for a New High-Temperature Quantum Spin Hall Paradigm
• Evidence for Helical Edge Modes in Inverted InAs/GaSb Quantum Wells
• Nonlocal edge state transport in the quantum spin Hall state
• Realization of Quantum Spin Hall State in Monolayer 1T'-WTe2
• Observation of the Quantum Spin Hall Effect up to 100 Kelvin in a Monolayer Crystal
• Edge conduction in monolayer WTe2
• Exceptional ballistic transport in epitaxial graphene nanoribbons
• Imaging currents in HgTe quantum wells in the quantum spin Hall regime
• Imaging Quantum Spin Hall Edges in Monolayer WTe2
• Sub-nm wide electron channels protected by topology
• Imaging of the Coulomb driven quantum Hall edge states
• Quantum anomalous Hall edge channels survive up to the Curie temperature
• Current-induced breakdown of the quantum anomalous Hall effect
• Scanning tunneling potentiometry implemented into a multi-tip setup by software
• Local manifestations of thickness dependent topology and axion edge state in topological magnet MnBi${}_2$Te${}_4$
• The self-consistent quantum-electrostatic problem in strongly non-linear regime
• Quantum spin Hall edge states and interlayer coupling in twisted-bilayer WTe${}_2$
• Mapping quantum Hall edge states in graphene by scanning tunneling microscopy
• Probing edge state conductance in ultra-thin topological insulator films
• How do edge states position themselves in a quantum Hall graphene pn junction?
• Nanoscale tip positioning with a multi-tip scanning tunneling microscope using topography images
• Going beyond Landauer scattering theory to describe spatially-resolved non-local heating and cooling in quantum thermoelectrics