Effect of toroidal moment on a macroscopic self-organization of electrons in the quantum Hall regime

TL;DR

This study investigates how the toroidal moment influences electron self-organization in the quantum Hall regime, revealing modifications in terahertz-light-induced current lineshape and demonstrating macroscopic electron self-organization.

Contribution

It introduces the role of the toroidal moment in electron energy spectrum asymmetry and demonstrates macroscopic electron self-organization in quantum Hall systems.

Findings

Modification of CR lineshape with magnetic field and electric field

Energy spectrum asymmetry linked to toroidal moment

Direct evidence of electron self-organization

Abstract

We have studied CR lineshape of terahertz-light-induced current in InAs quantum wells in tilted quantizing magnetic fields. We have observed dramatic modification of the lineshape with increasing of in-plane component of magnetic field as well as with increasing of transverse built-in electric field in the well. Scenario of the modification shows that the energy spectrum asymmetry is determined by so-called toroidal moment of the system and is a function of Landau quantum number. Macroscopic self-organization of electrons under the conditions of quantum Hall effect has also been directly demonstrated in both linear and saturation regimes of the light absorption.