Moving zero-gap Wannier-Mott excitons in graphene

Abstract

We demonstrate the possibility of existence of indirect moving Wannier-Mott excitons in graphene. Electron-hole binding is conditioned by the trigonal warping of conic energy spectrum. The binding energies are found for the lowest exciton states. These energies essentially depend on the value and direction of exciton momentum and vanish when the exciton momentum tends to the conic points. The ways to observe the exciton states are discussed. The opportunity of experimental observation of zero-gap excitons by means of external electron scattering is examined.

6 pages, 7 figures

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• Exciton oscillator strength in two-dimensional Dirac materials
• Pair states in one-dimensional Dirac systems
• Zero-energy vortices in Dirac materials
• Linearity of the edge states energy spectrum in the 2D topological insulator
• Two-electron bound states near a Coulomb impurity in gapped graphene
• Exact solution for many-body Hamiltonian of interacting particles with linear spectrum
• Effective Mass of Bound Electron Pairs in Two-Dimensional Materials with a Gapped Band Spectrum
• Radiative decay of bound electron pairs into unbound interacting electrons in 2D materials with two-band spectrum