Fractional charge in electron clusters: Interpretation of Mani and von Klitzing quantum Hall effect data

TL;DR

This paper proposes a theoretical model explaining fractional electron charges in clusters, matching experimental data from quantum Hall effect studies by calculating consistent fractional charges based on cluster properties.

Contribution

It introduces a novel formulation linking fractional charges to cluster parameters, providing a unified explanation for observed fractional quantum Hall effect data.

Findings

84 calculated fractional charges match experimental values

Fractional charges are expressed as 1/(2l+1)

Model unifies fractional charge interpretation in quantum Hall effect

Abstract

The charge of an electron in a cluster of n electrons is not ne but it is a fraction. We make many different clusters and calculate their charge per electron. We make 84 clusters and calculate the charge of an electron in these clusters. All of the 84 calculated values are exactly the same as found in the experimental measurements. The formulation is so good that all fractional charges if and when measured can be reduced to ${\it l}$ and $s$ values where the denominator in the fractional charge is simply 2{\it l}+1.