On the Non-invasive Measurement of the Intrinsic Quantum Hall Effect

TL;DR

This paper proposes a non-invasive method to measure the intrinsic quantum Hall effect in ballistic quantum wires using voltage leads separated by potential barriers, ensuring accurate local chemical potential detection.

Contribution

It introduces a novel measurement technique employing voltage leads and potential barriers, enabling precise, non-invasive detection of the quantum Hall effect's local chemical potential.

Findings

Measurement method aligns with local chemical potential in strong confinement limit

Conditions for quantized Hall resistance are established

Method demonstrates potential for non-invasive quantum Hall measurements

Abstract

With a model calculation, we demonstrate that a non-invasive measurement of intrinsic quantum Hall effect defined by the local chemical potential in a ballistic quantum wire can be achieved with the aid of a pair of voltage leads which are separated by potential barriers from the wire. B\"uttiker's formula is used to determine the chemical potential being measured and is shown to reduce exactly to the local chemical potential in the limit of strong potential confinement in the voltage leads. Conditions for quantisation of Hall resistance and measuring local chemical potential are given.