Metastable electron-electron states in double-layer graphene structures

Abstract

The prototypical exciton model of two interacting Dirac particles in graphene was analyzed in [1] and it was found that in one of the electron-hole scattering channels the total kinetic energy vanishes, resulting in a singular behaviour. We show that this singularity can be removed by extending the quasiparticle dispersion, thus breaking the symmetry between upper and lower Dirac cones. The dynamics of an electron-electron pair are then mapped onto that of a single particle with negative mass and anisotropic dispersion. We show that the interplay between dispersion and repulsive interaction can result in the formation of bound, Cooper-pair-like, metastable states in double-layered hybrid structures.

8 pages, 3 figures

References in corpus (14)

• The electronic properties of graphene
• Chiral tunneling and the Klein paradox in graphene
• Dielectric function, screening, and plasmons in 2D graphene
• Weak localisation magnetoresistance and valley symmetry in graphene
• Atomically thin boron nitride: a tunnelling barrier for graphene devices
• Specular Andreev reflection in graphene
• Strong Coulomb drag and broken symmetry in double-layer graphene
• Room-Temperature Superfluidity in Graphene Bilayers
• Cyclotron Resonance study of the electron and hole velocity in graphene monolayers
• Josephson Current and Multiple Andreev Reflections in Graphene SNS Junctions
• Atomic Collapse and Quasi-Rydberg States in Graphene
• Excitonic condensation of massless fermions in graphene bilayers
• Accurate determination of electron-hole asymmetry and next-nearest neighbor hopping in graphene
• Interlayer excitonic superfluidity in graphene

Cited by in corpus (14)

• Bielectron vortices in two-dimensional Dirac semimetals
• Exciton oscillator strength in two-dimensional Dirac materials
• Two-body problem for two-dimensional electrons in Bernervig-Hughes-Zhang model
• Pair states in one-dimensional Dirac systems
• Zero-energy vortices in Dirac materials
• Two-electron bound states near a Coulomb impurity in gapped graphene
• Quasi-bound Electron Pairs in Two-Dimensional Materials with a Mexican-Hat Dispersion
• Electron Interactions in Rashba Materials
• Bound electron pairs formed by the spin-orbit interaction in 2D gated structures
• Electron pairs bound by the spin-orbit interaction in 2D gated Rashba materials with two-band spectrum
• Effective Mass of Bound Electron Pairs in Two-Dimensional Materials with a Gapped Band Spectrum
• Radiative Decay of Bound Electron Pairs in Two-Dimensional Topological Insulators
• Radiative decay of bound electron pairs into unbound interacting electrons in 2D materials with two-band spectrum
• Excitonic pairing of two-dimensional Dirac fermions near the antiferromagnetic quantum critical point