Potential Coexistence of Exciton and Fermion Pair Condensations

Abstract

Extensive theoretical and experimental investigation has been conducted on fermion pair condensation and exciton condensation as distinct classes of Bose-Einstein-like condensation. In this work, the existence of a fermion-exciton condensate---a single quantum state in which character of both fermion pair and exciton condensates coexist---is established computationally in the low-particle-number ($N$) limit and theoretically in the large-$N$ thermodynamic limit. The trade-off between the fermion pair and excitonic character of the fermion-exciton condensate is shown to be elliptic in nature. The possibility that the properties of fermion-exciton condensates could be a hybrid of the properties of fermion pair condensates and exciton condensates is discussed, and future experimental and computational exploration of this new class of condensate, which may potentially be realizable in a bilayer of superconductors, is anticipated.

References in corpus (3)

• Exciton-polariton condensates
• Exciton Condensation and Perfect Coulomb Drag
• Symmetry Breaking and Convex Set Phase Diagrams for the q-state Potts Model

Cited by in corpus (8)

• Dual-Cone Variational Calculation of the 2-Electron Reduced Density Matrix
• Cooper-Pair Condensates with Non-Classical Long-Range Order on Quantum Devices
• Large Cumulant Eigenvalue as a Signature of Exciton Condensation
• Beginnings of Exciton Condensation in Coronene Analog of Graphene Double Layer
• Entangled phase of simultaneous fermion and exciton condensations realized
• Simultaneous fermion and exciton condensations from a model Hamiltonian
• Quantum Phase Transitions in a Model Hamiltonian Exhibiting Entangled Simultaneous Fermion-Pair and Exciton Condensations
• Localized excitons in 1D half-filled paramagnetic Hubbard model