Reflection Symmetry and Quantized Hall Resistivity near Quantum Hall Transition

Details Reflection Symmetry and Quantized Hall Resistivity near Quantum Hall Transition Reflection Symmetry and Quantized Hall Resistivity near Quantum Hall Transition

1998-09-03

arxiv.org/abs/cond-mat/9809079v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

3 pages, 4 figures; figure 4 is replaced

Scientific paper

10.1103/PhysRevB.59.R7821

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

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