Transport in line junctions ofν=52quantum Hall liquids

Abstract

We calculate the tunneling current through long-line junctions of a $\ensuremath{\nu}=\frac{5}{2}$ quantum Hall liquid and (i) another $\ensuremath{\nu}=\frac{5}{2}$ 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: $K=8$ 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 nonequilibrated anti-Pfaffian state has a different resistance from other proposed states in the bar geometry.