Tunneling in Paired Fractional Quantum Hall States: Conductance and Andreev Reflection of Non-Abelions

TL;DR

This paper investigates the edge transport and tunneling properties of paired fractional quantum Hall states, revealing distinct exponents and proposing Andreev reflection as a probe for non-Abelian anyons.

Contribution

It provides a detailed analysis of tunneling exponents for various paired FQH states and introduces Andreev reflection as a novel method to detect non-Abelian quasiparticles.

Findings

Different tunneling exponents for HR, Pfaffian, and 331 states.

Proposal of Andreev reflection processes to probe non-Abelian states.

Identification of unique edge transport signatures for paired FQH states.

Abstract

We study the edge transport properties of paired fractional quantum Hall (FQH) states--- the Haldane-Rezayi (HR), Moore-Read (Pfaffian) and Halperin (331) states. A table of exponents is given for the tunneling between the edges of paired FQH states in gated 2D structures and the tunneling into the edge of FQH states from a normal Fermi liquid (N). It is found that HR, Pfaffian and 331 states have different exponents for quasiparticle tunneling. For the tunneling through a FQH-N junction, we propose unusual Andreev reflection processes that may also probe the non-abelian FQH states.