  Discussions based upon rigorous derivations show the validity range of the
analogy between solid state materials like graphene which possess K symmetry
crystallographic points in k-space, and the relativistic solutions for massive
and low mass particles associated with the Dirac equation. Both eigenenergies
and eigenvectors are examined for the nonrelativistic solutions of the
Schrodinger equation using the tight-binding method, and the relativistic
solutions of the Dirac equation. Implications for exploring new materials are
drawn from the results. It is concluded Dirac materials are unlikely to fulfill
the needs of transistor action materials, but two prime candidates which may
satisfy those needs for 2D future electronics are proposed, graphyne and
borophene.
