  Magnetic, radiation pressure, and thermal driving are the three mechanisms
capable of launching accretion disk winds. In X-ray binaries, radiation
pressure is often not significant, as in many systems the luminosity is too low
for driving due to continuum transitions yet too high for driving due to line
transitions. This leaves thermal and magnetic driving as the contender
launching mechanisms in these systems. Using Athena++, we perform axisymmetric
ideal MHD simulations that include radiative heating and cooling processes
appropriate for Compton heated winds to show that the inclusion of magnetic
fields into a thermally driven wind has the opposite effect of what one might
expect: rather than provide a velocity boost, the thermal wind is suppressed in
low plasma beta regions where the field lines are strong enough to reshape the
direction of the flow. Our analysis reveals that magneto-centrifugal launching
is present but weak, while the reduction in wind velocity is not due to the
change in gravitational potential through the magnetically imposed streamline
geometry, but rather due to the increased flow tube area just above the surface
of the disk, which is less conducive to acceleration. Our results suggest that
for magnetothermal wind models to be successful at producing fast dense
outflows in low mass X-ray binaries, the winds must be magnetically launched
well within the Compton radius.
