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

Abstract

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.

References in corpus (6)

• Electron correlation in the second Landau level; a competition between many, nearly degenerate quantum phases
• Insulating and Fractional Quantum Hall States in the N=1 Landau Level
• Competition between quantum-liquid and electron-solid phases in intermediate Landau levels
• Explanation for the Resistivity Law in Quantum Hall System
• Ground State Phase Diagram of 2D Electrons in High Magnetic Field
• New Anisotropic Behavior of Quantum Hall Resistance in (110) GaAs Heterostructures at mK Temperatures and Fractional Filling Factors

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