  An ongoing challenge in dark matter direct detection is to improve the
sensitivity to light dark matter in the MeV--GeV mass range. One proposal is to
dope a liquid noble-element direct detection experiment with a lighter element
such as hydrogen. This has the advantage of enabling larger recoil energies
compared to scattering on a heavy target, while leveraging existing detector
technologies. Direct detection experiments can also extend their reach to lower
masses by exploiting the Migdal effect, where a nuclear recoil leads to
electronic ionisation or excitation. In this work we combine these ideas to
study the sensitivity of a hydrogen-doped LZ experiment (HydroX), and a future
large-scale experiment such as XLZD. We find that HydroX could have sensitivity
to dark matter masses as low as 5~MeV for both spin-independent and
spin-dependent scattering, with XLZD extending that reach to lower cross
sections. Notably, this technique substantially enhances the sensitivity of
direct detection to spin-dependent proton scattering, well beyond the reach of
any current experiments.
