Semiclassical fluid model of nonlinear plasmons in doped graphene

Bengt Eliasson, Chuan Sheng Liu

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)
26 Downloads (Pure)


A nonlinear fluid model of high-frequency plasmons in doped graphene is derived by taking fluid moments of the semi-classical kinetic equation for the electron gas. As a closure of the fluid moments, adiabatic compression is assumed with a given form of the distribution function, combined with an exact linear response based on the linearized Vlasov-Poisson system. In the linear regime, the model is in the long wavelength limit consistent with previous results using the random phase approximation for a two-dimensional electron gas, while it neglects the short-range interactions between massless Dirac fermions. The fluid model may be used to study non-linear plasmonic wave mixing and optical coupling to lasers in graphene.
Original languageEnglish
Article number012105
Number of pages6
JournalPhysics of Plasmas
Issue number1
Publication statusPublished - 4 Jan 2018


  • high-frequency plasmons
  • doped graphene
  • fluid moments
  • electron gas

Cite this