  The need for precise characterization of dual-phase xenon detectors has grown
as the technology has matured into a state of high efficacy for rare event
searches. The Michigan Xenon detector was constructed to study the microphysics
of particle interactions in liquid xenon across a large energy range in an
effort to probe aspects of radiation detection in liquid xenon. We report the
design and performance of a small 3D position sensitive dual-phase liquid xenon
time projection chamber with high light yield ($L_y^{122}=15.2 $pe/keV at zero
field), long electron lifetime ($\tau > 200 \mu$s), and excellent energy
resolution ($\sigma/E = 1\%$ for 1,333 keV gamma rays in a drift field of 200
V/cm). Liquid xenon time projection chambers with such high energy resolution
may find applications not only in dark matter direct detection searches, but
also in neutrinoless double beta decay experiments and other applications.
