Quasi-Particle Tunneling in Anti-Pfaffian Quantum Hall State

Abstract

We study tunneling phenomena at the edge of the anti-Pfaffian quantum Hall state at the filling factor $\nu =5/2$. The edge current in a single point-contact is considered. We focus on nonlinear behavior of two-terminal conductance with the increase in negative split-gate voltage. Expecting the appearance of the intermediate conductance plateau we calculate the value of its conductance by using the renormalization group (RG) analysis. Further, we show that non-perturbative quasi-particle tunneling is effectively described as perturbative electron tunneling by the instanton method. The two-terminals conductance is written as a function of the gate voltage. The obtained results enable us to distinguish the anti-Pfaffian state from the Pfaffian state experimentally.

5 pages, 4 figures

References in corpus (3)

• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Edge States and Interferometers in the Pfaffian and anti-Pfaffian States

Cited by in corpus (2)

• Distinguishing particle-hole conjugated Fractional Quantum Hall states using quantum dot mediated edge transport
• Andreev-like Reflection in the Pfaffian Fractional Quantum Hall Effect