Coulomb interactions and effective quantum inertia of charge carriers in a macroscopic conductor

TL;DR

This study reveals that a large quantum Hall bar exhibits ideal quantum conduction with inductive behavior influenced by Coulomb interactions, demonstrating the effective quantum inertia of charge carriers in macroscopic conductors.

Contribution

It provides experimental evidence and a scattering model showing Coulomb interactions induce quantum inertia effects affecting inductance in macroscopic quantum Hall systems.

Findings

Macroscopic quantum Hall bar behaves as an ideal quantum conductor

Inductance depends on edge channel length and filling fraction

Coulomb interactions induce effective quantum inertia of charge carriers

Abstract

We study the low frequency admittance of a quantum Hall bar of size much larger than the electronic coherence length. We find that this macroscopic conductor behaves as an ideal quantum conductor with vanishing longitudinal resistance and purely inductive behavior up to f<1MHz. Using several measurement configurations, we study the dependence of this inductance on the length of the edge channel and on the integer quantum Hall filling fraction. The experimental data are well described by a scattering model for edge magnetoplasmons taking into account effective long range Coulomb interactions within the sample. This demonstrates that the inductance's dependence on the filling fraction arises from the effective quantum inertia of charge carriers induced by Coulomb interactions within an ungated macroscopic quantum Hall bar.