A unique evidence of crystalline phase, known as Wigner crystal (WC), is explored in Electron-Hole quantum bilayers (EHBL) by tuning electron layer density independently at zero-temperature and zero-magnetic field. The quantum or dynamical version of Singwi, Tosi, Land and Sjölander (qSTLS) approach is used for obtaining the static density susceptibility. The static density susceptibility plays very important role for exploration of WC phase by showing a divergent behavior at finite wavevector, corresponds to the reciprocal lattice wavevector, during the phase transition from liquid state to WC ground-state. A comparison of present results with a recent results of dependently tunable EHBL system [Phys. Rev. B 66, 205316 (2002)] shows that the onset of Wigner crystallization now occurs at sufficiently lower interlayer spacing by tuning the electron layer density and keeping hole layer density fixed. Further, the prediction of WC phase gets support from the structure factor which exhibits a strong peak near the phase transition point.

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In this paper, the effect of finite width on ground‐state properties of a spin‐polarized symmetric electron‐hole quantum bilayers (EHBL) system is investigated at zero temperature. The quantum self‐consistent mean‐field approximation of Singwi, Tosi, Land and Sjölander (qSTLS) is adopted to explore intra‐ and interlayer properties such as the pair‐correlation function, the static density susceptibility, the local‐field corrections and the ground‐state energy. Interestingly, we noticed that due to the inclusion of finite width, the critical density for the onset of Wigner crystal (WC) phase is now lowered as compared to the recent spin‐polarized EHBL system without finite width and unpolarized EHBL system with finite width. Further, spin‐polarization effect is seem to introduce a marked change in the ground‐state energy of EHBL system as compared to that of unpolarized system. Results of ground‐state energy are also compared with the recent EHBL system without finite width (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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