The simplest possible structural transition that an electronic system can undergo is Wigner
crystallization. The aim of this short review is to discuss the main aspects of three recent …

Using a periodic train of Lorentzian voltage pulses, which generates solitonlike electronic
excitations called levitons, we investigate the charge density backscattered off a quantum …

Studies of Wigner crystals in semiconductor nanowires reveal significant electronic
characteristics, especially in configurations where electron tunneling between adjacent …

We use the exact strong-interaction limit of the Hohenberg-Kohn energy density functional to
construct an approximation for the exchange-correlation term of the Kohn-Sham approach …

We evaluate the spin-density oscillations arising in quantum spin Hall quantum dots created
via two localized magnetic barriers. The combined presence of magnetic barriers and spin …

The properties of the strongly interacting edge states of two dimensional topological
insulators in the presence of two-particle backscattering are investigated. We find an …

Thermal effects on the total charge density are studied for a one-dimensional correlated
quantum dot by means of the path integral Monte Carlo method. The competition between …

Using a Luttinger liquid theory we investigate the time evolution of the particle density of a
one-dimensional fermionic system with open boundaries and subject to a finite duration …

We theoretically investigate the evolution of the peak height of energy-resolved electronic
wave-packets ballistically propagating along integer quantum Hall edge channels at filling …

The possibility of crystalline states of interacting electrons, known as Wigner crystals, has
been intensively studied in each of the three dimensions. One-dimensional (1D) systems …