Anomalous structure in the single particle spectrum of the fractional quantum Hall effect

TL;DR

This paper reports unexpected structures in the single particle spectrum of the fractional quantum Hall effect, indicating new underlying physics and correlations not fully explained by existing models.

Contribution

It identifies and characterizes anomalous spectral features in the 2DES, proposing two models—composite fermions and localized electrons—that partially explain the observations.

Findings

Salient spectral structures appear at low temperatures across various filling fractions.

Features qualitatively match expectations for composite fermions.

Simple localized electron models also produce similar spectral features.

Abstract

The two-dimensional electron system (2DES) is a unique laboratory for the physics of interacting particles. Application of a large magnetic field produces massively degenerate quantum levels known as Landau levels. Within a Landau level the kinetic energy of the electrons is suppressed, and electron-electron interactions set the only energy scale. Coulomb interactions break the degeneracy of the Landau levels and can cause the electrons to order into complex ground states. In the high energy single particle spectrum of this system, we observe salient and unexpected structure that extends across a wide range of Landau level filling fractions. The structure appears only when the 2DES is cooled to very low temperature, indicating that it arises from delicate ground state correlations. We characterize this structure by its evolution with changing electron density and applied magnetic field. We present two possible models for understanding these observations. Some of the energies of the features agree qualitatively with what might be expected for composite Fermions, which have proven effective for interpreting other experiments in this regime. At the same time, a simple model with electrons localized on ordered lattice sites also generates structure similar to those observed in the experiment. Neither of these models alone is sufficient to explain the observations across the entire range of densities measured. The discovery of this unexpected prominent structure in the single particle spectrum of an otherwise thoroughly studied system suggests that there exist core features of the 2DES that have yet to be understood.