Ground state properties of electron-hole bilayer: Mass-asymmetric effect

We study the effects of mass asymmetry on the ground state properties of an electron-hole bilayer (EHBL) system at $T=0$ by using the quantum Monte Carlo method. Particularly, we use the variational Monte Carlo method to calculate the pair-correlation function $g(r)$ and the condensation fraction $c$ at a fixed density for different values of interplaner distance $d$ and extract the phases of the EHBL system. We use a single trial wave function that can describe fluid, excitonic, and biexcitonic phases. We find that the excitonic fluid phase is stable in the region of $d\ensuremath{\ge}0.25\phantom{\rule{0.28em}{0ex}}\mathrm{a}.\mathrm{u}.$ and a transition from the excitonic fluid phase to the biexcitonic fluid phase at $d=0.24\phantom{\rule{0.28em}{0ex}}\mathrm{a}.\mathrm{u}.$