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Volumn 91, Issue 3, 2015, Pages

Hydrodynamics in graphene: Linear-response transport

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EID: 84921033444     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.91.035414     Document Type: Article
Times cited : (203)

References (58)
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    • The collinear scattering singularity is a consequence of the linear dispersion of Dirac quasiparticles in graphene. At the golden-rule level, the collision integral diverges logarithmically [4,6,8,11,49]
    • A large value of (Equation presented) allows us to separate slowly relaxing modes retained in the hydrodynamic approximation from all other modes that are characterized by the large relaxation rates enhanced by this large parameter. While the bare value of (Equation presented) in pristine graphene is of order unity, there are two reasons for its suppression: (i) the dielectric constant of the substrate and (ii) downward renormalization [50] of (Equation presented). Indeed, experiments confirm [51-53] that the electron-electron interaction constant is quite weak.
    • The collinear scattering singularity is a consequence of the linear dispersion of Dirac quasiparticles in graphene. At the golden-rule level, the collision integral diverges logarithmically [4,6,8,11,49]. This divergence is regularized by screening of the Coulomb interaction [14,15,49]. As a result, the collision integral becomes proportional to (Equation presented) (where (Equation presented) is the effective interaction constant in graphene). A large value of (Equation presented) allows us to separate slowly relaxing modes retained in the hydrodynamic approximation from all other modes that are characterized by the large relaxation rates enhanced by this large parameter. While the bare value of (Equation presented) in pristine graphene is of order unity, there are two reasons for its suppression: (i) the dielectric constant of the substrate and (ii) downward renormalization [50] of (Equation presented). Indeed, experiments confirm [51-53] that the electron-electron interaction constant is quite weak.
    • This divergence is regularized by screening of the Coulomb interaction [14,15,49]. As a result, the collision integral becomes proportional to (Equation presented) (where (Equation presented) is the effective interaction constant in graphene)
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