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arXiv · 0909.3111

Transport in line junctions of $ν=5/2$ quantum Hall liquids

Chenjie Wang·D. E. Feldman
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Abstract

We calculate the tunneling current through long line junctions of a $ν=5/2$ quantum Hall liquid and i) another $ν=5/2$ liquid, ii) an integer quantum Hall liquid and iii) a quantum wire. Momentum resolved tunneling provides information about the number, propagation directions and other features of the edge modes and thus helps distinguish several competing models of the 5/2 state. We investigate transport properties of two proposed Abelian states: $K=8 state and 331 state, and four possible non-Abelian states: Pfaffian, edge-reconstructed Pfaffian, and two versions of the anti-Pfaffian state. We also show that the non-equilibrated anti-Pfaffian state has a different resistance from other proposed states in the bar geometry.

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Chenjie Wang, D. E. Feldman. 2010-01-05. Transport in line junctions of $ν=5/2$ quantum Hall liquids. https://doi.org/10.1103/physrevb.81.035318

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