Semiclassical fluid model of nonlinear plasmons in doped graphene

Bengt Eliasson, Chuan Sheng Liu

Research output: Contribution to journalArticle

Abstract

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.
LanguageEnglish
Article number012105
Number of pages6
JournalPhysics of Plasmas
Volume25
Issue number1
DOIs
Publication statusPublished - 4 Jan 2018

Fingerprint

plasmons
graphene
fluids
electron gas
moments
optical coupling
kinetic equations
closures
fermions
distribution functions
approximation
wavelengths
lasers
interactions

Keywords

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

Cite this

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Semiclassical fluid model of nonlinear plasmons in doped graphene. / Eliasson, Bengt; Liu, Chuan Sheng.

In: Physics of Plasmas, Vol. 25, No. 1, 012105, 04.01.2018.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Semiclassical fluid model of nonlinear plasmons in doped graphene

AU - Eliasson, Bengt

AU - Liu, Chuan Sheng

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AB - 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.

KW - high-frequency plasmons

KW - doped graphene

KW - fluid moments

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UR - http://aip.scitation.org/journal/php

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DO - 10.1063/1.5010402

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