Semiclassical fluid model of nonlinear plasmons in doped graphene
Author(s) -
Bengt Eliasson,
Chuan Sheng Liu
Publication year - 2018
Publication title -
physics of plasmas
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.75
H-Index - 160
eISSN - 1089-7674
pISSN - 1070-664X
DOI - 10.1063/1.5010402
Subject(s) - physics , semiclassical physics , graphene , adiabatic process , fermi gas , distribution function , plasmon , nonlinear system , electron , quantum mechanics , dirac delta function , quantum electrodynamics , condensed matter physics , quantum
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
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