In this paper we study how dynamical chiral symmetry breaking is affected by
nonzero chiral chemical potential in Dirac semimetals. To perform this study we
applied lattice quantum Monte Carlo simulations of Dirac semimetals. Within
lattice simulation we calculated the chiral condensate for various fermion
masses, the chiral chemical potentials and effective coupling constants. For
all parameters under consideration we have found that the chiral condensate is
enhanced by chiral chemical potential. Thus our results confirms that in Dirac
semimetals the chiral chemical potential plays a role of the catalyst of the
dynamical chiral symmetry breaking.Comment: 11 pages, 3 figure