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

Abstract

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.

27 pages, 12 figures

References in corpus (1)

• The Collapse of the Spin-Singlet Phase in Quantum Dots

Cited by in corpus (15)

• Spin-blockade spectroscopy of a two-level artificial molecule
• Spin projected unrestricted Hartree-Fock ground states for harmonic quantum dots
• Interaction-Induced Spin Polarization in Quantum Dots
• Spin and rotational symmetries in unrestricted Hartree Fock states of quantum dots
• Real Space Hartree-Fock Configuration Interaction Method For Complex Lateral Quantum Dot Molecules
• Effective interactions and large-scale diagonalization for quantum dots
• Multiple transitions of the spin configuration in quantum dots
• Spectral properties of rotating electrons in quantum dots and their relation to quantum Hall liquids
• Edge spin excitations and reconstructions of integer quantum Hall liquids
• Theory of a two-level artificial molecule in laterally coupled quantum Hall droplets
• Exchange-correlation energy densities for two-dimensional systems from quantum dot ground-states
• Coulomb and Spin blockade of two few-electrons quantum dots in series in the co-tunneling regime
• Spin transitions induced by a magnetic field in quantum dot molecules
• Higher Landau levels contribution to the energy of interacting electrons in a quantum dot
• Quantum Hall droplets in coupled lateral quantum dots