  Electron-hole liquids(EHLs), a correlated state of matter and a thermodynamic
liquid, have recently been found to exist at room temperature in suspended
monolayers of MoS2. Appreciably higher rates of radiative recombination inside
the liquid as compared to free excitons hold promise for optoelectronic
applications such as broadband lasing. In this paper, we show that leveraging
the valley physics in MoS2 may be a route towards achieving tunability of
specific characteristics of an EHL, such as emission wavelength, linewidth, and
most importantly, the liquid density. The conditions under which EHLs form, in
bulk semiconductors as well as TMDC monolayers are quite stringent, requiring
high crystal purity and cryogenic temperatures in bulk semiconductors, and
suspension in monolayers. Using a simple yet powerful model for describing free
excitons and show that a phase transition into the EHL state may be feasible in
substrate-supported monolayer samples. More repeatable experimental
realizations of EHLs may be essential to answer questions regarding the nature
of electron-hole correlations and how they may be used to generate non-trivial
states of light.
