Many-body corrections to cyclotron resonance in monolayer and bilayer graphene

Abstract

Cyclotron resonance in graphene is studied with focus on many-body corrections to the resonance energies, which evade Kohn's theorem. The genuine many-body corrections turn out to derive from vacuum polarization, specific to graphene, which diverges at short wavelengths. Special emphasis is placed on the need for renormalization, which allows one to determine many-body corrections uniquely from one resonance to another. For bilayer graphene, in particular, both intralayer and interlayer coupling strengths undergo infinite renormalization; as a result, the renormalized velocity and interlayer coupling strength run with the magnetic field. A comparison of theory with the experimental data is made for both monolayer and bilayer graphene.

11 pages, 4 figures, revtex, references added, to appear in PRB

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• Gate-induced insulating state in bilayer graphene devices
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• Asymmetry gap in the electronic band structure of bilayer graphene
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• Landau level spectroscopy of ultrathin graphite layers
• Infrared spectroscopy of Landau levels in graphene
• Optical and magneto-optical far-infrared properties of bilayer graphene
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• Determination of the electronic structure of bilayer graphene from infrared spectroscopy results
• Cyclotron resonance in bilayer graphene
• Intra-Landau level Cyclotron Resonance in Bilayer Graphene
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• Magnetoplasmons excitations in graphene for filling factors $\nu \le 6$
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• Pseudo-zero-mode Landau levels and collective excitations in bilayer graphene
• Electron-electron interactions in graphene bilayers
• Electromagnetic response and pseudo-zero-mode Landau levels of bilayer graphene in a magnetic field
• Static structure factor for graphene in a magnetic field

Cited by in corpus (41)

• Electronic transport in two dimensional graphene
• Electronic properties of graphene-based bilayer systems
• Observation of an intrinsic bandgap and Landau level renormalization in graphene/boron-nitride heterostructures
• Electron-electron interaction and electron-hole asymmetry in bilayer graphene
• Landau level spectroscopy of electron-electron interactions in graphene
• Non-Abelian Parton Fractional Quantum Hall Effect in Multilayer Graphene
• Spin-flip excitations, spin waves, and magneto-excitons in graphene Landau levels at integer filling factors
• Effective Landau Level Diagram of Bilayer Graphene
• Quantum Hall ferromagnetic phases in the Landau level N=0 of a graphene bilayer
• Many-particle effects in the cyclotron resonance of encapsulated monolayer graphene
• Spin g-factor due to electronic interactions in graphene
• Low B Field Magneto-Phonon Resonances in Single-Layer and Bilayer Graphene
• Influence of Landau level mixing on the properties of elementary excitations in graphene in strong magnetic field
• Structure and the Lamb-shift-like quantum splitting of the pseudo-zero-mode Landau levels in bilayer graphene
• Collisionless Hydrodynamics of Doped Graphene in a Magnetic Field
• Renormalization and cyclotron resonance in bilayer graphene with weak electron-hole asymmetry
• Terahertz detection of magnetic field-driven topological phase transition in HgTe-based transistors
• Raman scattering of graphene based systems in high magnetic fields
• Monolayer transition metal dichalcogenides in strong magnetic fields: Validating the Wannier model using a microscopic calculation
• Magneto-optical response of graphene: probing substrate interactions
• Many-body effects of Coulomb interaction on Landau levels in graphene
• Theory of inter-Landau level magnetoexcitons in bilayer graphene
• Theory of inplane magnetoresistance in two-dimensional massless Dirac fermion system
• Symmetry characterization of the collective modes of the phase diagram of the $\nu =0$ quantum Hall state in graphene: Mean-field and spontaneously broken symmetries
• Modulated phases of graphene quantum Hall polariton fluids
• Coulomb interaction and electron-hole asymmetry in cyclotron resonance of bilayer graphene in high magnetic field
• Abelian Chern-Simons Theory for the Fractional Quantum Hall Effect in Graphene
• Polarization of graphene in a strong magnetic field beyond the Dirac cone approximation
• Probing electronic lifetimes and phonon anharmonicities in high-quality chemical vapor deposited graphene by magneto-Raman spectroscopy
• Broken symmetries and Kohn's theorem in graphene cyclotron resonance
• Orbital Lamb shift and mixing of the pseudo-zero-mode Landau levels in ABC-stacked trilayer graphene
• Many-body effects on Landau-level spectra and cyclotron resonance in graphene
• Many-body filling-factor dependent renormalization of Fermi velocity in graphene in strong magnetic field
• Long-wavelength gauge symmetry and translations in a magnetic field for Dirac electrons in graphene
• Many-body renormalization of Landau levels in graphene due to screened Coulomb interaction
• Many-body effects, orbital mixing and cyclotron resonance in bilayer graphene
• Interaction-enhanced electron-hole and valley asymmetries in the lowest Landau level of ABA-stacked trilayer graphene
• Infrared spectroscopy of phase transitions in the lowest Landau levels of bilayer graphene
• Many-body effects in suspended graphene probed through magneto-phonon resonances
• Disorder and Interactions in Graphene and other Quantum Systems
• Chiral Symmetry and Many-Body Effect in Multilayer Graphene