Hydrodynamic electron transport and nonlinear waves in graphene

D. Svintsov, V. Vyurkov, V. Ryzhii, T. Otsuji

Research output: Contribution to journalArticlepeer-review

62 Citations (Scopus)


We derive the system of hydrodynamic equations governing the collective motion of massless fermions in graphene. The obtained equations demonstrate the lack of Galilean and Lorentz invariance and contain a variety of nonlinear terms due to the quasirelativistic nature of carriers. Using these equations, we show the possibility of soliton formation in an electron plasma of gated graphene. The quasirelativistic effects set an upper limit for soliton amplitude, which marks graphene out of conventional semiconductors. The mentioned noninvariance of the equations is revealed in spectra of plasma waves in the presence of steady flow, which no longer obey the Doppler shift. The feasibility of plasma-wave excitation by direct current in graphene channels is also discussed.

Original languageEnglish
Article number245444
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number24
Publication statusPublished - 2013 Dec 27


Dive into the research topics of 'Hydrodynamic electron transport and nonlinear waves in graphene'. Together they form a unique fingerprint.

Cite this