Quantum exciton solid in bilayer two-dimensional electron-hole systems

We propose a state of excitonic solid for bilayer two-dimensional electron-hole systems in transition metal dicalcogenides stacked on opposite sides of thin layers of BN. Properties of the exciton lattice are studied. We found that for the experimental parameters of interest, the solid by itself will melt. However, the solid can be stabilized by the potential due to the BN. We studied the possible manifestation of supersolid behavior due to quautum transport of defects and found that it is manifested as an approximately quantized conductance in Coulomb drag measurements.