Many-Body States in a Quantum Dot under High Magnetic Fields

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Abstract
Many-body electronic states in a quantum dot are studied under high magnetic fields, using the exact diagonalization method. The magnetic field dependence of low-lying excited states as well as the ground state is calculated, which is in good agreement with experimental results of Coulomb oscillation. The maximum density droplet (MDD), in which all the electrons are completely spin-polarized and accommodated in the lowest levels, appears in a range of the magnetic field. The range is narrower for larger number of electrons in the dot. Under higher magnetic fields, the MDD state is replaced by a new ground state in which electrons are strongly correlated to each other. The correlation effect considerably reduces the peak heights of the conductance.