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Reflection Symmetry and Quantized Hall Resistivity near Quantum Hall Transition

D. N. Sheng·Z. Y. Weng
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Abstract

We present a direct numerical evidence for reflection symmetry of longitudinal resistivity $ρ_{xx}$ and quantized Hall resistivity $ρ_{xy}$ near the transition between $ν=1$ quantum Hall state and insulator, in accord with the recent experiments. Our results show that a universal scaling behavior of conductances, $σ_{xx}$ and $σ_{xy}$, in the transition regime decide the reflection symmetry of $ρ_{xx}$ and quantization of $ρ_{xy}$, independent of particle-hole symmetry. We also find that in insulating phase away from the transition region $ρ_{xy}$ deviates from the quantization and diverges with $ρ_{xx}$.

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D. N. Sheng, Z. Y. Weng. 1998-11-04. Reflection Symmetry and Quantized Hall Resistivity near Quantum Hall Transition. https://doi.org/10.1103/physrevb.59.r7821

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