Interaction of quantum Hall systems with waveguide elastic modes

TL;DR

This paper investigates how waveguide elastic modes interact with quantum Hall systems, revealing differences from surface acoustic waves and proposing new methods to study quantum Hall states and phase transitions.

Contribution

It demonstrates that waveguide modes can probe quantum Hall systems without wave vector restrictions, enabling new experimental measurements of magnetic length and phase transitions.

Findings

Waveguide elastic modes do not have wave vector restrictions unlike surface acoustic waves.

The interaction can be used to measure the effective magnetic length dependence on filling factor.

Potential to observe phase transitions in double-layer quantum Hall systems.

Abstract

An interaction of non-uniform plane elastic modes of the waveguide type with monolayer and double-layer quantum Hall systems is considered. It is shown, that unlike the case of the surface acoustic wave propagation, the restriction on maximal values of the wave vectors for which the velocity shift can be observed experimentally does not take place for the waveguide modes. In case of study of incompressible fractional quantum Hall states the effect can be used for measuring a dependence of the effective magnetic length on the filling factor and for observing phase transitions in double-layer system under the interlayer distance variation