The Stability of the Quantum Hall State at $\nu = 1$ in Bilayer Electron Systems
Mesoscale and Nanoscale Physics
2023-01-25 v1
Abstract
The ground states of electrons in two vertically coupled quantum dots in the presence of an external magnetic field have been studied within the density functional theory. A phase diagram of the transition to the quantum Hall state in double quantum dots has been plotted for the Landau level filling factor . It has been shown that the quantum Hall state can be stable for a zero tunnel splitting. The influence of the impurity potential on the stability condition for the quantum Hall state has been analyzed.
Keywords
Cite
@article{arxiv.2209.03429,
title = {The Stability of the Quantum Hall State at $\nu = 1$ in Bilayer Electron Systems},
author = {A. A. Vasilchenko},
journal= {arXiv preprint arXiv:2209.03429},
year = {2023}
}