Nature of current flow in the regime of the quantum Hall effect
arXiv:2407.01277 · doi:10.1088/1367-2630/adfc05
Abstract
The integer quantum Hall effect (QHE) belongs to the most fundamental phenomena of solid state physics and has an important application as resistance standard. It serves as a basis to understand the fractional, anomalous or spin QHEs, candidates for applications in quantum technology due to their topological properties. For optimizing all these applications it is essential to understand where the current flows inside the Hall bar, a question disputed for decades. We perform multiterminal current measurements on a Hall bar and compare the results with limiting models. We confirm, based on these experiments, that the current flow is chiral for the plateaus of quantized Hall resistance. Everywhere else, including the ranges between plateaus, our results comply with the Drude model, which predicts homogeneous current flow across a homogeneous Hall-bar.
arXiv comment14 pages, 13 figures
References in corpus (10)
- Scanned Potential Microscopy of Edge and Bulk Currents in the Quantum Hall Regime
- Incompressible strips in dissipative Hall bars as origin of quantized Hall plateaus
- Self-consistent local-equilibrium model for density profile and distribution of dissipative currents in a Hall bar under strong magnetic fields
- Thomas-Fermi-Poisson theory of screening for latterally confined and unconfined two-dimensional electron systems in strong magnetic fields
- Currents in the Compressible and Incompressible Regions of the 2DEG
- Inductive Probing of the Integer Quantum Hall Effect
- Asymmetric non-linear response of the IQHE
- Interaction mediated asymmetries of the quantized Hall effect
- Reconciling edge states with compressible stripes in a ballistic mesoscopic conductor
- Transition from edge- to bulk-currents in the quantum Hall regime