Title: Current-Voltage Characteristics of Weyl Semimetal Semiconducting Devices, Veselago Lenses and Hyperbolic Dirac Phase,
Abstract: The current-voltage characteristics of a new range of devices built around
Weyl semimetals has been predicted using the Landauer formalism. The potential
step and barrier have been reconsidered for a three-dimensional Weyl
semimetals, with analogies to the two-dimensional material graphene and to
optics. With the use of our results we also show how a Veselago lens can be
made from Weyl semimetals, e.g. from NbAs and NbP. Such a lens may have many
practical applications and can be used as a probing tip in a scanning tunneling
microscope (STM). The ballistic character of Weyl fermion transport inside the
semimetal tip, combined with the ideal focusing of the Weyl fermions (by
Veselago lens) on the surface of the tip may create a very narrow electron beam
from the tip to the surface of the studied material. With a Weyl semimetal
probing tip the resolution of the present STMs can be improved significantly,
and one may image not only individual atoms but also individual electron
orbitals or chemical bonding and therewith to resolve the long-term issue of
chemical and hydrogen bond formation. We show that applying a pressure to the
Weyl semimental, having no centre of spacial inversion one may model matter at
extreme conditions such as those arising in the vicinity of a black hole. As
the materials Cd3As2 and Na3Bi show an asymmetry in their Dirac cones, a
scaling factor was used to model this asymmetry. The scaling factor created
additional regions of no propagation and condensed the appearance of
resonances. We argue that under an external pressure there may arise a
topological phase transition in Weyl semimetals, where the electron transport
changes character and becomes anisotropic. There a hyperbolic Dirac phases
occurs where there is a strong light absorption and photo-current generation.