Multiprobe quantum spin Hall bars

Abstract

We analyze electron transport in multiprobe quantum spin Hall (QSH) bars using the Büttiker formalism and draw parallels with their quantum Hall (QH) counterparts. We find that in a QSH bar the measured resistance changes upon introducing side voltage probes, in contrast to the QH case. We also study four- and six-terminal geometries and derive the expressions for the resistances. For these our analysis is generalized from the single-channel to the multi-channel case and to the inclusion of backscattering originating from a constriction placed within the bar.

6 pages, 5 figures

References in corpus (6)

• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Large-gap quantum spin Hall insulators in tin films
• Nonlocal edge state transport in the quantum spin Hall state
• The Quantum Spin Hall Effect: Theory and Experiment
• Quantum Spin Hall Effect and Enhanced Magnetic Response by Spin-Orbit Coupling
• Nonlocal Edge State Transport in Topological Insulators

Cited by in corpus (6)

• Are quantum spin Hall edge modes more resilient to disorder, sample geometry and inelastic scattering than quantum Hall edge modes?
• Fragility of non-local edge mode transport in the quantum spin Hall state
• Role of helical edge modes in the chiral quantum anomalous Hall state
• Are thermal fluctuations the sole reason for finite longitudinal resistance in quantum anomalous Hall experiments?
• Disordered contacts can localize helical edge electrons
• Disordered contacts can localize chiral edge electrons