  Currently, there is a flurry of research interest on materials with an
unconventional electronic structure, and we have already seen significant
progress in their understanding and engineering towards real-life applications.
The interest erupted with the discovery of graphene and topological insulators
in the previous decade. The electrons in graphene simulate massless Dirac
Fermions with a linearly dispersing Dirac cone in their band structure, while
in topological insulators, the electronic bands wind non-trivially in momentum
space giving rise to gapless surface states and bulk bandgap. Weyl semimetals
in condensed matter systems are the latest addition to this growing family of
topological materials. Weyl Fermions are known in the context of high energy
physics since almost the beginning of quantum mechanics. They apparently
violate charge conservation rules, displaying the "chiral anomaly", with such
remarkable properties recently theoretically predicted and experimentally
verified to exist as low energy quasiparticle states in certain condensed
matter systems. Not only are these new materials extremely important for our
fundamental understanding of quantum phenomena, but also they exhibit
completely different transport phenomena. For example, massless Fermions are
susceptible to scattering from non-magnetic impurities. Dirac semimetals
exhibit non-saturating extremely large magnetoresistance as a consequence of
their robust electronic bands being protected by time reversal symmetry. These
open up whole new possibilities for materials engineering and applications
including quantum computing. In this review, we recapitulate some of the
outstanding properties of WTe$_2$, namely, its non-saturating titanic
magnetoresistance due to perfect electron and hole carrier balance up to a very
high magnetic field observed for the very first time. (Continued. Please see
the main article).
