Honeycomb anti-dot artificial lattice as a prototypical correlated Dirac fermions system
Abstract
We study theoretically the electronic properties of the artificial quantum dot honeycomb lattice defined in a two-dimensional electron gas, focusing on the possibility of achieving a regime in which electronic correlations play a dominant role. At first we establish a non-interacting model compatible with recently studied experimentally devices. According to the values of the obtained electron-electron interaction integrals, we postulate that the inclusion of inherent electron-gas self-screening is indispensable to reconstruct the experimental observations. Applying the Thomas-Fermi type of screening, we show that the radius of the anti-dot is crucial to achieve a correlated state in which phenomena like antiferromagentic ordering and interaction-induced insulating state appear. We estimate the conditions for which the electronically correlated state in an artificial honeycomb lattice can be realized.
Keywords
Cite
@article{arxiv.2307.13336,
title = {Honeycomb anti-dot artificial lattice as a prototypical correlated Dirac fermions system},
author = {Andrzej Biborski and Michał Zegrodnik and Paweł Wójcik and Michał P. Nowak},
journal= {arXiv preprint arXiv:2307.13336},
year = {2023}
}