Maximum density hole droplets of an antidot in strong magnetic fields

N. Y. Hwang, S. R. Eric Yang, H. S. Sim, Hangmo Yi

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


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-shaped antidot. Our study demonstrates that the shape of antidot potential affects its physical properties significantly.

Original languageEnglish
Article number085322
Pages (from-to)085322-1-085322-11
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number8
Publication statusPublished - 2004 Aug

Bibliographical note

Funding Information:
The authors thank M. Kataoka for useful discussions. We were supported by QSRC at Dongguk University (SREY and HSS), special grant from Korea University (SREY), and SKORE-A (HY).

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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