Effects of density imbalance on the BCS-BEC crossover in semiconductor electron-hole bilayers

Abstract

We study the occurrence of excitonic superfluidity in electron-hole bilayers at zero temperature. We not only identify the crossover in the phase diagram from the BCS limit of overlapping pairs to the BEC limit of non-overlapping tightly-bound pairs but also, by varying the electron and hole densities independently, we can analyze a number of phases that occur mainly in the crossover region. With different electron and hole effective masses, the phase diagram is asymmetric with respect to excess electron or hole densities. We propose as the criterion for the onset of superfluidity, the jump of the electron and hole chemical potentials when their densities cross.

arXiv comment4 pages, 3 figures

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• Possible effect of collective modes in zero magnetic field transport in an electron-hole bilayer
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• Stability of Sarma phases in density imbalanced electron-hole bilayer systems
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• Superfluidity in Two-Dimensional Imbalanced Fermi Gases
• Superfluidity of a spin-imbalanced Fermi gas in a three-dimensional optical lattice
• Three-dimensional electron-hole superfluidity in a superlattice close to room temperature
• Drag effect and Cooper electron-hole pair fluctuations in a topological insulator film
• Excitonic Phase Diagram of the Three-Chain Hubbard Model for Semiconducting and Semimetallic Ta${}_2$NiSe${}_5$
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• Large gap electron-hole superfluidity and shape resonances in coupled graphene nanoribbons
• Fluctuational internal Josephson effect in topological insulator film
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• Structure of exciton condensates in imbalanced electron-hole bilayers
• Josephson effect as signature of electron-hole superfluidity in bilayers of van der Waals heterostructures
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• Crescent states in charge-imbalanced polariton condensates
• Superfluidity in density imbalanced bilayers of dipolar fermions
• FFLO Superconductivity Mediated by Excitonic Fluctuation in Semimetallic Ta${}_2$NiSe${}_5$
• Non-Fermi liquid fixed point for an imbalanced gas of fermions in $1+\epsilon$ dimensions
• Stabilising Fulde-Ferrel-Larkin-Ovchinnikov Superfluidity with long-range Interactions in a mixed dimensional Bose-Fermi System
• Electron-hole pairing of Fermi-arc surface states in a Weyl-semimetal bilayer
• 2D bilayer electron-hole superfluidity with unequal and anisotropic masses
• Unconventional superconductivity mediated by exciton density wave fluctuations
• Beyond Random Phase Approximation in electron-hole bilayer superfluidity