  We propose a torsional response raised by lattice dislocation in Weyl
semimetals akin to chiral magnetic effect; i.e. a fictitious magnetic field
arising from screw or edge dislocation induces charge current. We demonstrate
that, in sharp contrast to the usual chiral magnetic effect which vanishes in
real solid state materials, the torsional chiral magnetic effect exists even
for realistic lattice models, which implies the experimental detection of the
effect via SQUID or nonlocal resistivity measurements in Weyl semimetal
materials.
