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
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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