  In this paper, the chiral Hall effect of strained Weyl semimetals without any
external magnetic field is proposed. Electron-phonon coupling emerges in the
low-energy fermionic sector through a pseudogauge potential. We show that, by
using chiral kinetic theory, the chiral Hall effect appears as a response to a
real time-varying electric field in the presence of structural distortion and
it causes spatial chirality and charges separation in a Weyl system. We also
show that the coupling of the electrons to acoustic phonons as a gapless
excitation leads to emerging an optical absorption peak at
$\omega=\omega_{el}$, where $\omega_{el}$ is defined as a characteristic
frequency associated with the pseudomagnetic field. We also propose the
strain-induced planar Hall effect as another transport signature of the
chiral-anomaly equation.
