Tunneling between bilayer quantum Hall structures in a strong magnetic field

TL;DR

This paper models tunneling in bilayer quantum Hall systems under strong magnetic fields, revealing how tunneling current scales with magnetic field and interlayer distance, advancing understanding of quantum Hall bilayer physics.

Contribution

It generalizes the Johansson and Kinaret model to include effects of out-of-phase magnetophonon modes, analyzing their impact on tunneling current scaling behaviors.

Findings

Tunneling current peak scales with magnetic field similarly to previous models.

Tunneling current also scales with interlayer distance, providing new insights.

The model captures low-energy excitations affecting tunneling in bilayer systems.

Abstract

We calculate the tunneling current in a quantum Hall bilayer system in the strong magnetic field limit. We model the bilayer electron system as two Wigner crystals coupled through interlayer Coulomb interactions, treated in the continuum limit. We generalized the Johansson and Kinaret (JK) model and were able to study the effect of the low energy out-of-phase magnetophonon modes produced as a result of tunneling events. We find the same scaling behavior of the tunneling current peak with the magnetic field as found by JK but were able to find the tunneling current scaling behavior with interlayer distance as well.