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We discuss the Schwinger pair creation process for the system of masslessDirac fermions in the presence of constant external magnetic and electricfields. The pair production rate remains finite unlike the vacuum decay rate.In the recently discovered Dirac semimetals, where the massless Dirac fermionsemerge, this pair production may be observed experimentally through thetransport properties. We estimate its contribution to the ordinary conductivityof the semimetals.

Schwinger pair creation in Dirac semimetals in the presence of external magnetic and electric fields