Tunneling current through fractional quantum Hall interferometers

Tunneling into fractional quantum Hall liquids

Motivated by the recent experiment by Grayson et.al., we investigate a non-ohmic current-voltage characteristics for the tunneling into fractional quantum Hall liquids. We work on the two-boson model proposed by D.H. Lee and X.G. Wen. We discuss whether the interaction between the charge and neutral modes gives a correction to the exponent α (I ∼ V ). The leading order correction to α is found ...

Quasihole Tunneling in the Fractional Quantum Hall Regime

Exploring the fractional quantum Hall effect with electron tunneling

In this talk I present a summary of recent work on tunnel junctions of a fractional quantum Hall fluid and an electron reservoir, a Fermi liquid. I consider first the case of a single point contact. This is a an exactly solvable problem from which much can be learned. I also discuss in some detail how these solvable junction problems can be used to understand many aspects of the recent electron...

Quasiparticle tunneling through a barrier in the fractional quantum hall regime.

Tunneling of fractionally charged quasiparticles (QPs) through a barrier is considered in the context of a multiply connected geometry. In this geometry global constraints do not prohibit such a tunneling process. The tunneling amplitude is evaluated and the crossover from mesoscopic QP-dominated to electron-dominated tunneling as the system's size is increased is found. The presence of disorde...

Tunneling current characteristics in bilayer quantum Hall systems

Weakly disordered bilayer quantum Hall systems at filling factor ν = 1 show spontaneous interlayer phase coherence if the layers are sufficiently close together. We study the collective modes in the system, the current-voltage characteristics and their evolution with an in-plane magnetic field in the phase-coherent regime.