Abstract
We predict that the paramagnetic state of inversion-breaking quaternary Heusler alloy CrVTiAl is a Weyl semimetal candidate. There are 24 Weyl nodes (WN) appearing at the same energy in the first Brillouin zone without spin-orbit coupling (SOC). One WN splits into a pair of Weyl nodes (WN1 and WN2) of the same chirality when considering SOC because SOC removes the spin degeneracy. Clear surface state Fermi arc structures on the (111) surface are also obtained. The formation mechanism of the Weyl nodes is independent of point symmetries, i.e., the number and chirality of Weyl nodes are not affected when the point symmetries are broken slightly.
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