Abstract: Weyl semimetal is a kind of materials whose low-energy quasiparticles excitations are Weyl fermions when two spin non-degenerate energy bands pass near the Fermi level in the three-dimensional (3D) momentum space. Weyl fermions are the massless solution to Dirac equation and can be regarded as two overlapped particles with opposite chirality in the three-dimensional momentum space. TaAs single crystal is a nonmagnetic Weyl semimetal in which the Weyl fermions can be observed directly and lead to several exotic physical properties, such as Fermi arcs, negative magneto-resistance, and quantum anomalous Hall effect, etc. It shows potential applications in the fields of new electronic devices and topological quantum computations. In this paper, we introduce the basic theory and significant experiments on Weyl semimetallic TaAs single crystal, with an emphasis on the technological issues related to the crystal growth of TaAs and the advantages and disadvantages of the chemical vapor transport method (CVT).
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