A Systematic Improvement for Calculation to Conductivity in Anomalous Propagation of Surface Acoustic Wave at $\nu={1/2}$

TL;DR

This paper presents a systematic method to improve the calculation of conductivity related to surface acoustic wave anomalies at filling factor 1/2, addressing discrepancies between theory and experiment.

Contribution

It introduces a novel approach considering self-interaction among Chern-Simons gauge fluctuations to enhance theoretical conductivity calculations.

Findings

Better agreement with experimental data for $\sigma_{xx}(q)$

Identification of the role of gauge fluctuation self-interactions

Improved modeling of surface acoustic wave anomalies

Abstract

We report a systematic improvement to calculate the conductivity which associates to the anomaly of the propagation of surface acoustic waves at $\nu={1/2}$ above a two-dimensional electron gas. We try to resolve the discrepancy between theoretical and experimental values for the magnitude of $\sigma_{xx}(q)$ by considering the contribution to the response functions from the self-interaction among the Chern-Simons gauge fluctuations.