Description
In the last years, several research groups worldwide managed to reproduce the
physics of Weyl fermions and to obtain the exotic features of topological
semimetals in different condensed matter setups, including not only solid state compounds,
but also photonic crystals. In this talk I will introduce the main features
of these gapless 3D topological states of matter and I will focus on
alternative realizations of Weyl semimetals based on a model for ultracold
atoms in the presence of artificial magnetic fluxes in a cubic lattice.
In these condensed matter systems, the emergent Lorentz invariance can be violated,
and I will discuss some of the main examples of topological semimetals going beyon the standard Weyl case.
