Screening of electrostatic potential in a composite fermion system

TL;DR

This paper investigates how electric fields are screened in monolayer and double-layer composite fermion systems, revealing dependence on distance and filling factor, and analyzing effects related to the Halperin wave function transition.

Contribution

It provides a detailed analysis of electrostatic screening behavior in composite fermion systems, including the impact of filling factors and phase transitions.

Findings

Screening occurs at distances much larger than the magnetic length.

Screening varies significantly with the filling factor.

Transition to Halperin wave function state affects screening properties.

Abstract

Screening of the electric field of a test charge by monolayer and double-layer composite fermion systems is considered. It is shown that the electric field of the test charge is partly screened at distances much large then the magnetic length. The value of screening as a function of the distance depends considerably on the filling factor. The effect of variation of the value of screening in the double-layer system upon a transition to a state described by the Halperin wave function is determined.