The dislocation in Dirac semimetal carries an emergent magnetic flux parallel
to the dislocation axis. We show that due to the emergent magnetic field the
dislocation accommodates a single fermion massless mode of the corresponding
low-energy one-particle Hamiltonian. The mode is propagating along the
dislocation with its spin directed parallel to the dislocation axis. In
agreement with the chiral anomaly observed in Dirac semimetals, an external
electric field results in the spectral flow of the one-particle Hamiltonian, in
pumping of the fermionic quasiparticles out from the vacuum, and in creating a
nonzero axial (chiral) charge in the vicinity of the dislocation.Comment: 21 pages, 3 figure
