Electron-phonon bound states in graphene in a perpendicular magnetic field

Abstract

The spectrum of electron-phonon complexes in a monolayer graphene is investigated in the presence of a perpendicular quantizing magnetic field. Despite the small electron-phonon coupling, usual perturbation theory is inapplicable for calculation of the scattering amplitude near the threshold of the optical phonon emission. Our findings beyond perturbation theory show that the true spectrum near the phonon emission threshold is completely governed by new branches, corresponding to bound states of an electron and an optical phonon with a binding energy of the order of $\alpha {\omega }_0$ where $\alpha$ is the electron-phonon coupling and ${\omega }_0$ the phonon energy.

arXiv commentTo be published in Phys. Rev. Lett., 5 pages, 3 figures, 1 table

References in corpus (17)

• Electric Field Effect in Atomically Thin Carbon Films
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Electronic Properties of Disordered Two-Dimensional Carbon
• Unconventional Integer Quantum Hall effect in graphene
• Infrared spectroscopy of Landau levels in graphene
• Scanning Tunneling Spectroscopy of Graphene on Graphite
• Anomalous Absorption Line in the Magneto-Optical Response of Graphene
• Phonon-induced many-body renormalization of graphene electronic properties
• Filling-Factor-Dependent Magnetophonon Resonance in Graphene
• Tuning the electron-phonon coupling in multilayer graphene with magnetic fields
• Magneto-Raman scattering of graphene on graphite: Electronic and phonon excitations
• Signature of electronic excitations in the Raman spectrum of graphene
• Observation of magneto-phonon resonance of Dirac fermions in graphite
• Effects of electron-phonon coupling on Landau levels in graphene
• Phonon structures in the electronic density of states of graphene in magnetic field
• Electron-phonon bound state in graphene

Cited by in corpus (5)

• Plasmonic excitations in Coulomb coupled N-layer graphene structures
• Magneto-optical conductivity of graphene on polar substrates
• Zone-Boundary Phonon Induced Mini Band Gap Formation in Graphene
• Observation of Giant Quantized Phonon Modes in Graphene via Tunneling Spectra
• Supersymmetric Analysis of the Dirac-Weyl Operator within PT Symmetry