Spin-dependent charge of quasiparticle clusters in quantum Hall effect: Interpretation of unsolved data of Pan, Stormer, Tsui, Pfeiffer, Baldwin and West

TL;DR

This paper interprets experimental data on quasiparticle charges in quantum Hall states, revealing spin-dependent charge variations in multi-electron clusters that align with recent measurements.

Contribution

It provides a theoretical explanation for spin-dependent quasiparticle charges in quantum Hall effect, matching recent experimental observations.

Findings

Quasiparticle charge states for 2 to 7 electrons are identified.

Spin reversal alters quasiparticle charges, e.g., from 4/11 to 7/11.

Predicted charges agree with experimental data.

Abstract

A state with two electrons has a charge of 1/2. The states of three electrons have quasiparticle charge of 4/11 and 5/13, the one with 5 electrons have quasiparticle charges of 4/13 and 6/17. The state with 7 elctrons exhibits quasiparticle charges of 5/17 and 12/17. When spin is reversed, the charge of the three-particle state changes from 4/11 to 7/11. These predicted results agree with the recent experimental measurements of Pan, Stormer, Tsui et al.