Ground-state of two-dimensional finite electron systems in the Quantum Hall regime

摘要

We study electronic structures of quasi-two-dimensional finite electronsystems in high magnetic fields. The solutions in the fractional quantum Hallregime are interpreted as quantum liquids of electrons and off-electronvortices. The ground states are classified according to the number of vorticesinside the electron droplet. The theory predicts observable effects due tovortex formation in the chemical potentials and magnetization of electrondroplets. We compare the transitions in the theory to those found in electrontransport experiments on a quantum dot device and find significantcorrespondence.