  Spin-dependent exotic interactions can be generated by exchanging
hypothetical bosons, which were introduced to solve some puzzles in physics.
Many precision experiments have been performed to search for such interactions,
but no confirmed observation has been made. Here, we propose new experiments to
search for the exotic spin-spin interactions that can be mediated by axions or
Z$^\prime$ bosons. A sensitive functionalized cantilever is utilized as a force
sensor to measure the interactions between the spin-polarized electrons in a
periodic magnetic source structure and a closed-loop magnetic structure
integrated on the cantilever. The source is set to oscillate during data
acquisition to modulate the exotic force signal to high harmonics of the
oscillating frequency. This helps to suppress the spurious signals at the
signal frequency. Different magnetic source structures are designed for
different interaction detections. A magnetic stripe structure is designed for
Z$^\prime$-mediated interaction, which is insensitive to the detection of
axion-mediated interaction. This allows us to measure the coupling constant of
both if we assume both exist. With the force sensitivity achievable at low
temperature, the proposed experiments are expected to search for the parameter
spaces with much smaller coupling constant than the current stringent
constraints from micrometer to millimeter range. Specifically, the lower bound
of the parameter space will be seven orders of magnitude lower than the
stringent constraints for Z$^\prime$-mediated interaction, and an order of
magnitude lower for axion-mediated interaction, at the interaction range of
$10\, \mu$m.
