Splitting of Long-Wavelength Modes of the Fractional Quantum Hall Liquid at $\nu=1/3$

TL;DR

This paper reports the discovery of a splitting in long-wavelength quasiparticle modes in the fractional quantum Hall liquid at filling factor 1/3, revealing new insights into its collective excitations.

Contribution

It provides experimental evidence of mode splitting and dispersive behavior in the fractional quantum Hall state, offering new understanding of its low-energy excitations.

Findings

Observation of mode splitting at larger wavevectors

Well-defined dispersive behavior at small wavevectors

Implications for coherence in the quantum fluid

Abstract

Resonant inelastic light scattering experiments at $\nu=1/3$ reveal a novel splitting of the long wavelength modes in the low energy spectrum of quasiparticle excitations in the charge degree of freedom. We find a single peak at small wavevectors that splits into two distinct modes at larger wavevectors. The evidence of well-defined dispersive behavior at small wavevectors indicates a coherence of the quantum fluid in the micron length scale. We evaluate interpretations of long wavelength modes of the electron liquid.