Hydrodynamic theory of transport in doped graphene

2009/06/16 by R. Bistritzer, Rafi Bistritzer, A. H. MacDonald
Materials Science · Physics and Astronomy · #Condensed matter physics #Diamond and Carbon-based Materials Research #Doping #Drift velocity #Electrical resistivity and conductivity #Electron #Graphene #Graphene research and applications #Materials science #Nanotechnology #Phonon #Physics #Quantum and electron transport phenomena #Quantum mechanics #Saturation (graph theory) #cond-mat.other

paper · pdf · doi:10.1103/physrevb.80.085109

published as Phys. Rev. B 80, 085109 (2009)

arxiv created 2009/06/16 · openalex publication_date 2009/08/17 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study nonlinear dc transport in graphene using a hydrodynamic approach and conclude that in clean samples the drift velocity saturates at a weakly density-dependent value v_sat\ensuremath∼10⁷ cm/s. We show that saturation results from the interactions between graphene's Dirac quasiparticles and both acoustic and optical phonons. Saturation is accompanied by substantial electron heating and is not reached at realistic driving fields in moderately or strongly disordered samples. We find that it is essential to account for interactions among graphene's Dirac quasiparticles, which increase the linear-response resistivity at high temperatures or low densities.

Citations

• Acoustic phonon scattering limited carrier mobility in two-dimensional extrinsic graphene
• Quantum Transport of Massless Dirac Fermions
• Substrate-limited electron dynamics in graphene
• Conductivity of suspended and non-suspended graphene at finite gate voltage
• The electronic properties of graphene
• Intrinsic and extrinsic performance limits of graphene devices on SiO2