The properties of quasi-two-dimensional semiconductor quantum dots are reviewed.
Experimental techniques for measuring the electronic shell structure and the effect of …

Investigations of emergent symmetry breaking phenomena occurring in small finite-size
systems are reviewed, with a focus on the strongly correlated regime of electrons in two …

The mean-field approximation based on effective interactions or density functionals plays a
pivotal role in the description of finite quantum many-body systems that are too large to be …

The review considers the peculiarities of symmetry breaking and symmetry transformations
and the related physical effects in finite quantum systems. Some types of symmetry in finite …

The main theme of this review is the many-body physics of vortices in quantum droplets of
bosons or fermions in the limit of small particle numbers. Systems of interest include cold …

We present a theoretical treatment of four two-dimensional electrons in a harmonic
confinement potential in the presence of an external magnetic field using the exact …

A problem of interacting charge carriers confined in quasi-one-dimensional (1D)
semiconductor nanostructures has been studied. We have derived an analytical 1D formula …

Exact diagonalization results are reported for the lowest rotational band of N= 6 electrons in
strong magnetic fields in the range of high angular momenta, 70<~ L<~ 140 (covering the …

We present a theoretical study of the effect of the spin–orbit interaction on the electron
magnetization and magnetic susceptibility of small semiconductor quantum dots. Those …

Correlation among particles in finite quantum systems leads to complex behaviour and
novel states of matter. One remarkable example is predicted to occur in a semiconductor …