Integer and fractional charge solitons in modulated strips in the fractional quantum Hall regime

TL;DR

This paper predicts and analyzes integer and fractional charge solitons in modulated quantum Hall strips, exploring their properties in different physical regimes and configurations.

Contribution

It introduces novel solitonic excitations in fractional quantum Hall systems with specific geometries, expanding understanding of charge localization phenomena.

Findings

Integer charge solitons in modulated strips

Fractional charge solitons in coupled strips

Analysis in dissipative and inertial limits

Abstract

We propose the existence and study the solitonic excitations in two kinds of samples in the fractional quantum Hall regime. One is a strip modulated by a one-dimensional array of gates. The other is made of two parallel strips coupled by a one-dimensional array of tunnel barriers. We predict the existence of integer charge solitons in the first case, and fractional charge solitons in the second case. We study the two cases both in the dissipative and in the inertial limits.