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
TL;DR
This paper analytically derives a conductance sum rule for hierarchical edge states in the fractional quantum Hall effect, offering an intuitive interpretation of edge excitation velocities within the Haldane-Halperin hierarchy.
Contribution
It introduces an analytical derivation of the conductance sum rule and provides an intuitive understanding of hierarchical edge excitation velocities.
Findings
Derivation of the conductance sum rule for hierarchical edge channels
Analytical insight into edge excitation velocities
Enhanced understanding of fractional quantum Hall edge structure
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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Taxonomy
TopicsQuantum and electron transport phenomena · Surface and Thin Film Phenomena · Molecular Junctions and Nanostructures