Coupling of two Dirac particles
arXiv:1302.4505 · doi:10.1103/PhysRevA.87.042513
Abstract
A study of the formation of excitons as a problem of two Dirac particles in a gapped graphene layer and in two gapped graphene layers separated by a dielectric is presented. In the low energy limit the separation of the center-of-mass and relative motions is obtained. Analytical solutions for the wave function and energy dispersion for both cases when electron and hole interact via a Coulomb potential are found. It is shown that the energy spectrum and the effective exciton mass are functions of the energy gaps as well as interlayer separation in case of two layer gapped graphene.
12 pages, 7 figures. arXiv admin note: substantial text overlap with arXiv:1110.6744
References in corpus (8)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Substrate-induced band gap opening in epitaxial graphene
- Excitations from Filled Landau Levels in Graphene
- Superfluidity of dipole excitons in two layers of gapped graphene
- Hamiltonian Relativistic Two-Body Problem: Center of Mass and Orbit Reconstruction
- Collective properties of magnetobiexcitons in quantum wells' and graphene superlattices
- Superfluidity and collective properties of excitonic polaritons in gapped graphene in a microcavity
Cited by in corpus (24)
- High-temperature superfuidity of the two-component Bose gas in a TMDC bilayer
- Interlayer excitons in transition metal dichalcogenide heterostructures
- Excitons and trions in monolayer transition metal dichalcogenides: A comparative study between the multiband model and the quadratic single-band model
- Bielectron vortices in two-dimensional Dirac semimetals
- Optical Absorption by Dirac Excitons in Single-Layer Transition-Metal Dichalcogenides
- Model Prediction of Self-Rotating Excitons in Two-Dimensional Transition-Metal Dichalcogenides
- Dunkl-Graphene in constant magnetic field
- On the Optical Properties of Excitons in Buckled 2D Materials in an External Electric Field
- Few-body systems in condensed matter physics
- Strong Valley Zeeman Effect of Dark Excitons in Monolayer Transition Metal Dichalcogenides in a Tilted Magnetic Field
- Spherical topological-insulator nanoparticles: Quantum size effects and optical transitions
- Exact solution of an exciton energy for a monolayer medium
- Two-body problem for two-dimensional electrons in Bernervig-Hughes-Zhang model
- Spectrum of exciton states in monolayer transition metal dichalcogenides: angular momentum and Landau levels
- Pair states in one-dimensional Dirac systems
- Excitonic instability of two-dimensional tilted Dirac cones
- Zero-energy vortices in Dirac materials
- Effects of parallel electric and magnetic fields on Rydberg excitons in buckled two-dimensional materials
- Two-electron bound states near a Coulomb impurity in gapped graphene
- Graphene in curved Snyder space
- Sommerfeld enhancement factor in two-dimensional Dirac materials
- Particle-hole pair states of layered materials
- Semiclassical approach for excitonic spectrum of Coulomb coupling between two Dirac particles
- Stability of the Mott phase in excitonic double layers