Haldane Sashes in Quantum Hall Spectra

TL;DR

This paper links low-temperature sash features in quantum Hall spectra to Haldane pseudopotential energy scales, providing insights into fractional quantum Hall physics through tunneling density-of-states analysis.

Contribution

It establishes a direct connection between observed sash features and Haldane pseudopotentials, enhancing understanding of correlation effects in the lowest Landau level.

Findings

Sash features are related to Haldane pseudopotentials.

Analysis becomes exact near filling factors $ u=0$ and $ u=1$.

Temperature-dependent tunneling data can reveal LLL correlation physics.

Abstract

We show that the low-temperature sash features in the lowest Landau-level (LLL) tunneling density-of-states (TDOS) recently discovered by Dial and Ashoori are intimately related to the discrete Haldane-pseudopotential interaction energy scales that govern fractional quantum Hall physics. Our analysis is based on expressions for the tunneling density-of-states which become exact at filling factors close to $\nu=0$ and $\nu=1$, where the sash structure is most prominent. We comment on other aspects of LLL correlation physics that can be revealed by accurate temperature-dependent tunneling data.