Anomaly of Optical Phonon in Monolayer Graphene

By T. Ando. 2006

146 citations recorded by the source corpus.

The frequency shift and broadening of long-wavelength optical phonons due to interactions with electrons are calculated in a monolayer graphene as a function of the electron density. The broadening disappears and the frequency shift exhibits a logarithmic singularity when the Fermi energy is half of the energy of the optical phonon. The shift increases in proportion to the Fermi energy for sufficiently high electron density.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/18ca51b3b8eaf108da6c391457bddf866b18596d

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In Atomic and Molecular Physics, and Optics

In Materials Chemistry

Citations in the corpus

Electronic properties of graphene in a strong magnetic field (2010, background): “(Ando, 2006b, 2007b), and ω̃0 ≃ ωph + 2 ~ ∫ Nc 0 dn ∆ng 2 A(n) ~2ω2ph −∆2n (197) is the physical phonon frequency at zero doping.”
Electron and Phonon Properties of Graphene: Their Relationship with Carbon Nanotubes (2008, background): “The detailed theoretical analysis of this case is reported in [106, 112, 113].”
The electronic properties of graphene (2007, background): “(170)The lo al displa ements of the atoms in the unit ell anbe related to u(r) by (Ando, 2006a): (~δab · ∇)u = κ−1(uA − uB) , (171)where κ is a dimensionless quantity that depends on mi- ros opi details.”