Hole maximum density droplets of an antidot in strong magnetic fields
Abstract
We investigate a quantum antidot in the integer quantum Hall regime (the filling factor is two) by using a Hartree-Fock approach and by transforming the electron antidot into a system which confines holes via an electron-hole transformation. We find that its ground state is the maximum density droplet of holes in certain parameter ranges. The competition between electron-electron interactions and the confinement potential governs the properties of the hole droplet such as its spin configuration. The ground-state transitions between the droplets with different spin configurations occur as magnetic field varies. For a bell-shape antidot containing about 300 holes, the features of the transitions are in good agreement with the predictions of a recently proposed capacitive interaction model for antidots as well as recent experimental observations. We show this agreement by obtaining the parameters of the capacitive interaction model from the Hartree-Fock results. An inverse parabolic antidot is also studied. Its ground-state transitions, however, display different magnetic-field dependence from that of a bell-shape antidot. Our study demonstrates that the shape of antidot potential affects its physical properties significantly.
Keywords
Cite
@article{arxiv.cond-mat/0404525,
title = {Hole maximum density droplets of an antidot in strong magnetic fields},
author = {N. Y. Hwang and S. -R. Eric Yang and H. -S. Sim and Hangmo Yi},
journal= {arXiv preprint arXiv:cond-mat/0404525},
year = {2009}
}
Comments
12 pages, 11 figures