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 (7)

• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Nonlocal edge state transport in the quantum spin Hall state
• Observation of the Quantum Spin Hall Effect up to 100 Kelvin in a Monolayer Crystal
• Quantum anomalous Hall edge channels survive up to the Curie temperature
• Mapping quantum Hall edge states in graphene by scanning tunneling microscopy
• 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