Quantization of the diagonal resistance: Density gradients and the empirical resistance rule in a 2D system

Details Quantization of the diagonal resistance: Density gradients and the empirical resistance rule in a 2D system Quantization of the diagonal resistance: Density gradients and the empirical resistance rule in a 2D system

2005-06-23

arxiv.org/abs/cond-mat/0506623v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevLett.95.066808

We have observed quantization of the diagonal resistance, R_xx, at the edges of several quantum Hall states. Each quantized R_xx value is close to the difference between the two adjacent Hall plateaus in the off-diagonal resistance, R_xy. Peaks in R_xx occur at different positions in positive and negative magnetic fields. Practically all R_xx features can be explained quantitatively by a ~1%/cm electron density gradient. Therefore, R_xx is determined by R_xy and unrelated to the diagonal resistivity rho_xx. Our findings throw an unexpected light on the empirical resistivity rule for 2D systems.

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