Fractional charge in electron clusters: Mani and von Klitzing data of quantum Hall effect- Part II

TL;DR

This paper calculates and confirms the fractional charge values of quasiparticles in electron clusters within the quantum Hall effect, matching experimental data and predicting fractional frequencies accurately.

Contribution

It provides a comprehensive calculation of 146 fractional charges, including spin and polarization, matching experimental measurements and predicting fractional frequencies.

Findings

Calculated 146 fractional charges matching measured values

Determined spin and polarization of electron clusters

Predicted fractional frequencies accurately

Abstract

We have calculated the fractional charge of quasiparticles in a cluster of electrons. The 61 values have been calculated which are exactly the same as the measured values. In a previous eprint we have calculated 85 values which are the same as the measured values. Thus we have calculated 146 fractional charges. In the case of 61 values, we are able to determine the spin of the cluster and hence the number of electrons. The polarization in a magnetic field is determined. A new zero conductivity state is found which is the same as superresistivity, previously reported in our book. Anderson and Brinkman, cond-mat/0302129, have noted that frequencies like 5/4\Omega_c do occur. We predict all fractional frequencies correctly.