Optimal orientation of striped states in the quantum Hall system against external modulations (in 26th ICPS proceedings)

TL;DR

This paper investigates the optimal orientation of striped Hall states under external periodic potentials at various Landau levels, predicting phase transitions between parallel and perpendicular orientations.

Contribution

It introduces a study of the orientation of striped Hall states in external modulations, identifying phase transitions between two distinct phases at different Landau levels.

Findings

Existence of parallel and perpendicular phases.

Phase transition between the two orientations.

Predictions for various Landau levels.

Abstract

The physical properties of striped Hall state in the presence of an external unidirectional periodic potential is investigated. The study of searching the optimal orientation of the state is reported for the state at filling factor $\nu=2+1/2$ and for the state at higher Landau levels at $l+1/2$ where $l=3,4,5,6,7,8$. It is predicted that two phases of the orientation, parallel phase and perpendicular phase, exist and a phase transition from one to another phase occurs.