Excitonic Tunneling in the AB-bilayer Graphene Josephson Junctions

Abstract

We have considered the AB-stacked bilayer graphene Josephson junction. The bilayers are supposed to be in the charge equilibrium states and at the half-filling in each of the electronic layers of the construction and at each value of the external gate. By considering the interacting bilayers in both sides of the junction and by taking into account both intralayer and interlayer Coulomb interaction effects, we have calculated the normal and excitonic tunnel currents through the junction. The electronic band renormalizations have been taken into account, due to the excitonic pairing effects and condensation in the BLGs. The exact four-band energy dispersions, including the excitonic renormalizations, have been used for the bilayers without any low-energy approximation. We show the degeneracy of the ground state at the zero applied voltage and for different phases of the coherent condensates by showing a dc Josephson current through the junction. The normal and excitonic tunneling currents have been calculated for different gate voltages and for different values of the interaction parameters. The role of the charge neutrality point has been discussed in details.

arXiv comment17 pages, 14 Figures

References in corpus (30)

• The electronic properties of graphene
• Electron-Electron Interactions in Graphene: Current Status and Perspectives
• Bose-Einstein Condensation of Excitons in Bilayer Electron Systems
• Excitations in a non-equilibrium Bose-Einstein condensate of exciton-polaritons
• Evidence for an excitonic insulator phase in 1T-TiSe${}_2$
• Evidence for a Goldstone Mode in a Double Layer Quantum Hall System
• Room-Temperature Superfluidity in Graphene Bilayers
• Excitonic superfluid phase in Double Bilayer Graphene
• Observation of a Linearly Dispersing Collective Mode in a Quantum Hall Ferromagnet
• Orthorhombic-to-Monoclinic Phase Transition of Ta2NiSe5 Induced by the Bose-Einstein Condensation of Excitons
• Electron-Hole Generation and Recombination Rates for Coulomb Scattering in Graphene
• Excitonic condensation of massless fermions in graphene bilayers
• Synchronized and desynchronized phases of coupled non-equilibrium exciton-polariton condensates
• 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
• Dipolar superfluidity in electron-hole bilayer systems
• Cooper pairing of electrons and holes in graphene bilayer: Correlation effects
• Mesoscopic conductance fluctuations in graphene samples
• Chiral charge order in 1$T$-TiSe${}_2$: importance of lattice degrees of freedom
• On the existence of the excitonic insulator phase in the extended Falicov-Kimball model: an SO(2)-invariant slave-boson approach
• Fate of the excitonic insulator in the presence of phonons
• Excitonic condensation in a double-layer graphene system
• Slave-boson field fluctuation approach to the extended Falicov-Kimball model: charge, orbital, and excitonic susceptibilities
• Coulomb interaction effects in graphene bilayers: electron-hole pairing and plasmaron formation
• Topological phases and fractional excitations of the exciton condensate in a special class of bilayer systems
• Excitonic gap formation and condensation in the bilayer graphene structure
• Spectral properties of excitons in the bilayer graphene
• Excitonic Josephson effect in double-layer graphene junctions
• Electron tunneling times
• Excitonic gap formation in neutral bilayer structures

Cited by in corpus (4)

• Pump driven normal-to-excitonic insulator transition: Josephson oscillations and signatures of BEC-BCS crossover in time-resolved ARPES
• Tunneling of persistent currents in coupled ring-shaped Bose-Einstein condensates
• High thermoelectric performance in excitonic bilayer graphene
• Role of the compensating current in the weak Josphson coupling regime: An extended study on excitonic Josephson junctions