Quenching of the Hall effect
Abstract
We argue that for ballistic transport through a narrow conductor (of width W) a threshold magnetic field exists below which the Hall resistance vanishes. The field is of order (h/e)kF-1W-3, and is reached when the transverse wavelength of quantum edge states becomes comparable to the width. This is offered as a mechanism for the quenching of the Hall effect discovered experimentally in a narrow two-dimensional electron gas wire by Roukes et al.
- Publication:
-
Physical Review Letters
- Pub Date:
- June 1988
- DOI:
- 10.1103/PhysRevLett.60.2406
- Bibcode:
- 1988PhRvL..60.2406B
- Keywords:
-
- Hall Effect;
- High Electron Mobility Transistors;
- Quenching (Atomic Physics);
- Ballistic Trajectories;
- Electron Transfer;
- Gallium Arsenides;
- Quantum Electronics;
- Solid-State Physics;
- 72.15.Gd;
- 73.20.-r;
- 73.60.Ag;
- Galvanomagnetic and other magnetotransport effects;
- Electron states at surfaces and interfaces