Strong-coupling phases of trions and excitons in electron-hole bilayers at commensurate densities

Abstract

We introduce density imbalanced electron-hole bilayers at a commensurate 2 : 1 density ratio as a platform for realizing novel phases involving electrons, excitons and trions. Three length scales are identified which characterize the interplay between kinetic energy, intralayer repulsion, and interlayer attraction. By a combination of theoretical analysis and numerical calculation, we find a variety of strong-coupling phases in different parameter regions, including quantum crystals of electrons, excitons, and trions. We also propose an "excitonic supersolid" phase that features electron crystallization and exciton superfluidity simultaneously. The material realization and experimental signature of these phases are discussed in the context of semiconductor transition metal dichalcogenide bilayers.

Published in PRL. Revised main text and supplement. Main: 6 pages, 4 figures. SM: 8 pages, 6 figures

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• Roadmap for Photonics with 2D Materials
• Realizing Topological Superconductivity in Tunable Bose-Fermi Mixtures with Transition Metal Dichalcogenide Heterostructures
• Electrically tunable layer-hybridized trions in doped WSe${}_2$ bilayers
• Crystallization of the transdimensional electron liquid
• Correlated phases of moat-band excitons in two dimensions