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On the Conductance Sum Rule for the Hierarchical Edge States of the Fractional Quantum Hall Effect

Zhong-Shui Ma·Yi-Xin Chen·Zhao-Bin Su
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Abstract

The conductance sum rule for the hierarchical edge channel currents of a Fractional Quantum Hall Effect state is derived analytically within the Haldane-Halperin hierarchy scheme. We provide also an intuitive interpretation for the hierarchical drift velocities of the edge excitations.

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Zhong-Shui Ma, Yi-Xin Chen, Zhao-Bin Su. 1993-09-28. On the Conductance Sum Rule for the Hierarchical Edge States of the Fractional Quantum Hall Effect. https://doi.org/10.1103/physrevb.50.2232

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