  We propose an experimental search for an axion-induced oscillating electric
dipole moment (OEDM) for electrons using state-of-the-art alkali vapor-cell
atomic magnetometers. The axion is a hypothesized new fundamental particle
which can resolve the strong charge-parity problem and be a prominent dark
matter candidate. This experiment utilizes an atomic magnetometer as both a
source of optically polarized electron spins and a magnetic-field sensor. The
interaction of the axion field, oscillating at a frequency equal to the axion
mass, with an electron spin induces a sizable OEDM of the electron at the same
frequency as the axion field. When the alkali vapor is subjected to an electric
field and a magnetic field, the electron OEDM interacts with the electric
field, resulting in an electron spin precession at the spin's Larmor frequency
in the magnetic field. The resulting precession signal can be sensitively
detected with a probe laser beam of the atomic magnetometer. We estimate that
the experiment is sensitive to the axion-photon interaction in ultralight axion
masses from $10^{-15}$ to $10^{-10}$~eV. It is able to improve the current
experimental limit up to 5 orders of magnitude, exploring new axion parameter
spaces.
