Spin-flip excitations, spin waves, and magneto-excitons in graphene Landau levels at integer filling factors

Abstract

We study collective electronic excitations in graphene in the integer quantum Hall regime, concentrating mainly on excitations with spin reversal such as spin-flip and spin-wave excitations. We show that these excitations are correctly accounted for in the time-dependent Hartree-Fock and strong magnetic field approximations, in contrast to spin-conserving (magneto-exciton) modes which involve a strong Landau-level mixing at non-zero wave vectors. The collective excitations are discussed in view of prominent theorems, such as Kohn's and Larmor's. Whereas the latter remains valid in graphene and yields insight into the understanding of spin-dependent modes, Kohn's theorem does not apply to relativistic electrons in graphene. We finally calculate the exchange correction to the chemical potential in the weak magnetic field limit.

Replaced with published version. 13 pages, 4 figures

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Cited by in corpus (12)

• Magnetic field tuning of terahertz Dirac plasmons in graphene
• Observation of an intrinsic bandgap and Landau level renormalization in graphene/boron-nitride heterostructures
• Dynamical polarization of monolayer graphene in a magnetic field
• Many-particle effects in the cyclotron resonance of encapsulated monolayer graphene
• Many-body effects of Coulomb interaction on Landau levels in graphene
• Broken symmetries and Kohn's theorem in graphene cyclotron resonance
• Quantum Electrodynamics of graphene Landau levels in a deep-subwavelength hyperbolic phonon polariton cavity
• Long-wavelength gauge symmetry and translations in a magnetic field for Dirac electrons in graphene
• Spin waves in doped graphene: a time-dependent spin-density-functional approach to collective excitations in paramagnetic two-dimensional Dirac fermion gases
• Many-body effects, orbital mixing and cyclotron resonance in bilayer graphene
• The selection rule of graphene in a composite magnetic field
• Many-body effects in suspended graphene probed through magneto-phonon resonances