  Recent experiments have confirmed the presence of interlayer excitons in the
ground state of transition metal dichalcogenide (TMD) bilayers. The interlayer
excitons are expected to show remarkable transport properties when they undergo
Bose condensation. In this work, we demonstrate that quantum geometry of Bloch
wavefunctions plays an important role in the phase stiffness of the Interlayer
Exciton Condensate (IEC). Notably, we identify a geometric contribution that
amplifies the stiffness, leading to the formation of a robust condensate with
an increased BKT temperature. Our results have direct implications for the
ongoing experimental efforts on interlayer excitons in materials that have
non-trivial quantum geometry. We provide quantitative estimates for the
geometric contribution in TMD bilayers through a realistic continuum model with
gated Coulomb interaction, and find that the substantially increased stiffness
allows for an IEC to be realized at amenable experimental conditions.
