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

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.

4 pages, LATEX, to appear in Solid State Communications

References in corpus (3)

• Transition from quantum Hall to compressible states in the second Landau level: new light on the $\nu$=5/2 enigma
• Effects of long-range Coulomb interaction on the quantum transport in fractional quantum Hall edges
• Quantum transport in $\nu =2/3$ spin-singlet quantum Hall edges

Cited by in corpus (6)

• The effects of non-abelian statistics on two-terminal shot noise in a quantum Hall liquid in the Pfaffian state
• Effective field theory for the bulk and edge states of quantum Hall states in unpolarized single layer and bilayer systems
• Edge Dynamics in Quantum Hall Bilayers II: Exact Results with Disorder and Parallel Fields
• Andreev-like Reflection in the Pfaffian Fractional Quantum Hall Effect
• Strong quasi-particle tunneling study in the paired quantum Hall states
• Fractional-statistics-induced entanglement from Andreev-like tunneling