Theory of the spin singlet filling factor $ν=2$ quantum Hall droplet

Details Theory of the spin singlet filling factor $ν=2$ quantum Hall droplet Theory of the spin singlet filling factor $ν=2$ quantum Hall droplet

2002-04-17

arxiv.org/abs/cond-mat/0204385v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

27 pages, 12 figures

Scientific paper

10.1103/PhysRevB.67.035325

A theory of electronic properties of a spin-singlet quantum Hall droplet at filling factor $\nu=2$ in a parabolic quantum dot is developed. The excitation spectrum and the stability of the droplet due to the transfer of electrons into the second Landau level at low magnetic fields and due to spin flip at the edge at higher magnetic fields is determined using Hartree-Fock, exact diagonalisation, and spin-density functional methods. We show that above a critical number of electrons $N_c$ the unpolarised $\nu=2$ quantum Hall droplet ceases to be a ground state in favor of spin-polarised phases. We determine the characteristic pattern in the addition and current-amplitude Coulomb blockade spectra associated with the stable $\nu=2$ droplet. We show that the spin transition of the droplet at a critical number of electrons is accompanied by the reversal of the current amplitude modulation at the $\nu=2$ line, as observed in recent experiments.

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