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 …

The simultaneous breaking of time-reversal and inversion symmetry, in connection to
superconductivity, leads to transport properties with disrupting scientific and technological …

Parafermions are generalizations of Majorana fermions that may appear in interacting
topological systems. They are known to be powerful building blocks of topological quantum …

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 …

Majorana bound states can emerge as zero-energy modes at the edge of a two-dimensional
topological insulator in proximity to an ordinary s-wave superconductor. The presence of an …

We propose a novel realization for a topologically superconducting phase hosting Majorana
zero modes on the basis of quantum spin Hall systems. Remarkably, our proposal is …

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 …

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 …

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 …