Andreev-like Reflection in the Pfaffian Fractional Quantum Hall Effect

Abstract

We studied the tunnel transport between the edge of a Pfaffian fractional quantum Hall state and that of an integer quantum Hall state. Based on the duality argument between the strong and weak tunnelings, we found that an Andreev-like reflection appeared in the strong tunneling regime. We calculated the charge conductance in the weak and strong tunneling regimes for the low-voltage limit. In the weak tunneling limit, $dI}/dV$ was proportional to $V^{1/\nu }$ with bias voltage $V$ and $\nu =1/2$. By contrast, in the strong tunneling limit, $dI/dV$ was expressed by $(e^2/h)2\nu /(1+\nu )$ with a correction term. We expect that this condition can be realized experimentally at the point contact between a fractional quantum Hall state with $\nu =5/2$ and an integer quantum Hall state with $\nu =3$.

References in corpus (15)

• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• Direct observation of anyonic braiding statistics at the $\nu$=1/3 fractional quantum Hall state
• Fractional statistics in anyon collisions
• Universal topological quantum computation from a superconductor/Abelian quantum Hall heterostructure
• Towards identification of a non-abelian state: observation of a quarter of electron charge at $\nu =5/2$ quantum Hall state
• Edge excitations of paired fractional quantum Hall states
• Edge states and tunneling of non-Abelian quasiparticles in the nu=5/2 quantum Hall state and p+ip superconductors
• Current Correlations from a Mesoscopic Anyon Collider
• Andreev reflection in the fractional quantum Hall effect
• Andreev reflection of fractional quantum Hall quasiparticles
• Tunneling in Paired Fractional Quantum Hall States: Conductance and Andreev Reflection of Non-Abelions
• Quasi-Particle Tunneling in Anti-Pfaffian Quantum Hall State
• Strong quasi-particle tunneling study in the paired quantum Hall states

Cited by in corpus (2)

• Universal chiral Luttinger liquid behavior in a graphene fractional quantum Hall point contact
• Fractional-statistics-induced entanglement from Andreev-like tunneling