Cyclotron Resonance of Wigner Crystals on Liquid Helium

TL;DR

This paper presents a new theoretical analysis of cyclotron resonance in Wigner crystals on liquid helium, accurately matching experimental results by considering electron correlations and various scattering effects.

Contribution

It introduces a self-consistent phonon-based theory that comprehensively accounts for electron interactions and scattering in Wigner crystals on liquid helium.

Findings

Numerical results agree well with experimental data.

Electron correlation effects are crucial for accurate resonance predictions.

The theory eliminates the need for fitting parameters.

Abstract

The cyclotron resonance of the correlated two-dimentional electrons on liquid helium in high magnetic fields is investigated on the basis of the newly developed theory. Electrons are assumed to form a Wigner crystal, and the electron correlation effect is taken into account through the self-consistently determined Wigner phonons, where the electron-electron interaction, the electron-ripplon and electron-vapor atom scatterings are considered on the same footing. The numerical calculations show a very good agreement with experiments without any fitting parameters.