Quantum oscillations in an excitonic insulating electron-hole bilayer

We study the quantum oscillations of interlayer capacitance in an excitonic insulating electron-hole double layer with the Hartree-Fock mean-field theory. Such oscillations could be simply understood from the physical picture of an exciton formed by electron and hole Landau levels, in which the direct gap between the electron-hole Landau levels will oscillate with the exciton chemical potential and the inverse of the magnetic field. We also find that the excitonic order parameters can be destroyed by a strong magnetic field. At this time, the system becomes two independent quantum Hall liquids, and the interlayer capacitance oscillates to zero at zero temperature.