Dissipation and Tunnelling in Quantum Hall Bilayers

TL;DR

This paper investigates how dissipation affects quantum tunnelling in quantum Hall bilayers, revealing a strong zero-temperature tunnelling current peak and resonance asymmetries due to in-plane fields, through quantum corrections to classical dynamics.

Contribution

It introduces the first quantum correction calculations for the semiclassical dynamics of quantum Hall bilayers, offering new insights into tunnelling behavior and measurement interpretation.

Findings

Strong zero-temperature tunnelling current peak

Resonance asymmetries with in-plane fields

Decay of Josephson oscillations into charge fluctuations

Abstract

We discuss the interplay between transport and intrinsic dissipation in quantum Hall bilayers, within the framework of a simple thought experiment. We compute, for the first time, quantum corrections to the semiclassical dynamics of this system. This allows us to re-interpret tunnelling measurements on these systems. We find a strong peak in the zero-temperature tunnelling current that arises from the decay of Josephson-like oscillations into incoherent charge fluctuations. In the presence of an in-plane field, resonances in the tunnelling current develop an asymmetric lineshape.