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 …

Majorana bound states are interesting candidates for applications in topological quantum
computation. Low-energy models allowing one to grasp their properties are hence …

Confinement at the helical edge of a topological insulator is possible in the presence of
proximity-induced magnetic (F) or superconducting (S) order. The interplay of both …

We show that correlated two-particle backscattering can induce fractional charge oscillations
in a quantum dot built at the edge of a two-dimensional topological insulator by means of …

The chiral anomaly is based on a nonconserved chiral charge and can happen in Dirac
fermion systems under the influence of external electromagnetic fields. In this case, the …

We theoretically analyse a long constriction between the helical edge states of a two-
dimensional topological insulator. The constriction is laterally tunnel-coupled to two …

The charge and spin patterns of a quantum dot embedded into a spin-orbit coupled quantum
wire subject to a magnetic field are investigated. A Luttinger liquid theory is developed …

We analyze the time evolution of spin-polarized electron wave packets injected into the
edge states of a two-dimensional topological insulator. In the presence of electron …

The presence of a Majorana bound state in condensed matter systems is often associated to
a zero bias peak in conductance measurements. Here, we analyze a system were this …

We consider the steady-state behavior of observables in the Su-Schrieffer-Heeger (SSH)
model and in the one-dimensional transverse field quantum Ising model after a sudden …