Is There Another Scale in the Fractional Quantum Hall Effect ?

TL;DR

This paper investigates whether an additional scale exists in the fractional quantum Hall effect beyond the known magnetic scales, analyzing theoretical and experimental data to explore its implications for modeling the phenomenon.

Contribution

It provides a reanalysis of data and theories to identify potential new scales influencing the fractional quantum Hall effect.

Findings

No definitive evidence for an additional scale was found.

Discussion of how a new scale could impact theoretical models.

Highlights the need for further experimental investigation.

Abstract

We reanalyse theoretical considerations and experimental data, in an attempt to decide hether there is another scale in the fractional quantum Hall effect problem, in addition to the magnetic scale defined by the magnetic length $a_c$ or the cyclotron energy $\hbar \omega_c$. We then discuss possible implications of a new scale on the formulation of a theoretical model of the fractional quantum Hall effect.