The longitudinal resistance of a quantum Hall system with a density gradient

Details The longitudinal resistance of a quantum Hall system with a density gradient The longitudinal resistance of a quantum Hall system with a density gradient

2006-01-26

arxiv.org/abs/cond-mat/0601614v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 3 figures

Scientific paper

10.1103/PhysRevB.73.235333

Following recent experiments, we consider current flow in two dimensional electronic systems in the quantum Hall regime where a gradient in the electron density induces a spatial variation in the Hall resistivity. Describing the system in terms of a spatially varying local resistivity tensor, we show that in such a system the current density is generically non-uniform, with the current being pushed towards one side of the sample. We show that, for sufficiently large density gradient, the voltage along that side is determined by the change of the Hall resistivity, and is independent of the microscopic longitudinal resistivity, while the voltage on the opposite side is small and determined by both longitudinal and Hall resistivities. We solve some particular models in detail, and propose ways by which the microscopic longitudinal resistivity may be extracted from measurements of the longitudinal voltage on both sides of the sample.

Affiliated with

Also associated with

No associations

Rating

The longitudinal resistance of a quantum Hall system with a density gradient does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The longitudinal resistance of a quantum Hall system with a density gradient, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The longitudinal resistance of a quantum Hall system with a density gradient will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-171545