Clustering in quantum Hall effect: Spin-charge coupling

TL;DR

This paper explains fractional charges in the quantum Hall effect through an angular momentum theory, revealing a new spin-charge coupling relationship and extending clustering concepts to atomic clusters.

Contribution

It introduces a novel angular momentum-based explanation for fractional charges and extends clustering ideas to atomic systems, highlighting a linear spin-charge dependence.

Findings

Effective fractional charges are explained without the odd denominator rule.

A linear relationship between charge and spin is established.

Clustering concepts are extended to atomic clusters, explaining oscillations.

Abstract

The effective fractional charges like 17/4 or 19/4 are explained by our angular momentum theory. These fractions do not arise from the odd denominator rule. Due to spin polarization for both of these along the magnetic field, these states are not the particle-hole conjugates. The idea of clustering first introduced in cond-mat/0303309 has been extended to atomic clusters which explain the oscillations in the kHz range. The effective charge is found to depend linearly on spin, i.e., charge \pm spin =1/2. This is a new spin-charge coupling relationship in a purely electronic system.