Spectral properties of excitons in the bilayer graphene
arXiv:1712.07681 · doi:10.1016/j.physe.2017.09.015
Abstract
In this paper, we consider the spectral properties of the bilayer graphene with the local excitonic pairing interaction between the electrons and holes. We consider the generalized Hubbard model, which includes both intralayer and interlayer Coulomb interaction parameters. The solution of the excitonic gap parameter is used to calculate the electronic band structure, single-particle spectral functions, the hybridization gap, and the excitonic coherence length in the bilayer graphene. We show that the local interlayer Coulomb interaction is responsible for the semimetal-semiconductor transition in the double layer system, and we calculate the hybridization gap in the band structure above the critical interaction value. The formation of the excitonic band gap is reported as the threshold process and the momentum distribution functions have been calculated numerically. We show that in the weak coupling limit the system is governed by the Bardeen-Cooper-Schrieffer (BCS)-like pairing state. Contrary, in the strong coupling limit the excitonic condensate states appear in the semiconducting phase, by forming the Dirac's pockets in the reciprocal space.
arXiv comment17 pages, 22 figures
References in corpus (25)
- The electronic properties of graphene
- Biased bilayer graphene: semiconductor with a gap tunable by electric field effect
- Properties of Graphene: A Theoretical Perspective
- The electronic properties of bilayer graphene
- Bose-Einstein Condensation of Excitons in Bilayer Electron Systems
- Ab Initio Theory of Gate Induced Gaps in Graphene Bilayers
- Room-Temperature Superfluidity in Graphene Bilayers
- Lattice field theory simulations of graphene
- How to make a bilayer exciton condensate flow
- Coulomb Drag of Massless Fermions in Graphene
- Excitonic condensation of massless fermions in graphene bilayers
- Chemical Potential and Quantum Hall Ferromagnetism in Bilayer Graphene
- Electron screening and excitonic condensation in double-layer graphene systems
- Direct Measurement of the Fermi Energy in Graphene Using a Double Layer Structure
- Electron-hole pair condensation at the semimetal-semiconductor transition: a BCS-BEC crossover scenario
- A BCS-BEC crossover in the extended Falicov-Kimball model: Variational cluster approach
- Cooper pairing of electrons and holes in graphene bilayer: Correlation effects
- On the existence of the excitonic insulator phase in the extended Falicov-Kimball model: an SO(2)-invariant slave-boson approach
- Excitonic condensation in a double-layer graphene system
- Electronic Structure of Bilayer Graphene: A Real-space Green's Function Study
- Interlayer excitonic superfluidity in graphene
- Chiral anomaly and strength of the electron-electron interaction in graphene
- Slave-boson field fluctuation approach to the extended Falicov-Kimball model: charge, orbital, and excitonic susceptibilities
- Excitonic gap formation and condensation in the bilayer graphene structure
- Inhomogeneity and nonlinear screening in gapped bilayer graphene
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