We determine the quantum scattering time τq in six graphene samples with mobility of 4,400 < µ < 17,000 cm 2 /Vs over a wide range of carrier density (1.2 < n < 6x10 12 /cm 2 ). τq derived from Shubnikov-de Haas oscillations ranges ∼25-74 fs, corresponding to a single-particle level broadening of 4.5-13 meV. The ratio of the transport to quantum scattering time τt/τq spans 1.5-5.1 in these samples, which can be quantitatively understood combining scattering from short-ranged centers and charged impurities located within 2 nm of the graphene sheet. Our results suggest that charges residing on the SiO2 surface play a dominant role in limiting carrier mobility in current samples. 72.15.Lh Understanding and eliminating extrinsic scattering sources in graphene is critical to the advancement of its fundamental study and technological applications. Despite many theoretical and experimental investigations into possible candidates, including charged impurities (CI), adsorbates, substrate corrugations, and ripples, contradictory observations remain and a clear picture has yet to emerge. 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16 To date, most experimental studies have focused on probing the carrier mobility µ, or equivalently the transport scattering time τ t = m * µ/e. 8,9,10,11,12,13,14,15 Another important parameter in two-dimensional (2D) transport, the quantum scattering time τ q , has not been well studied. τ q characterizes the momentum relaxation of a quasi-particle and relates to its quantum level broadening Γ through Γ =h/2τ q . Quantitatively, the difference between τ q and τ t in graphene is shown in the following equations:Here, θ is the scattering angle and Q(θ) depends on specific scattering mechanisms. 17,18 While small-angle events weigh heavily towards τ q , τ t is mostly affected by right angle scatterings. Measurement of τ t /τ q has proven to be a powerful diagnostic tool in revealing complex scattering scenarios in conventional 2D electron gases (2DEGs). 18,19,20,21 For example, short-ranged scattering sources give rise to τ t /τ q ∼ 1 while charged impurities far away from a 2DEG lead to predominately small-angle events, resulting in large τ t /τ q . The former has been observed in silicon inversion layers and the latter characterizes modulation doped GaAs 2DEGs. 18,19,20 Despite its demonstrated importance, the study of τ q in graphene has been scant. Existing data are largely obtained from the linewidth of cyclotron resonance at low densities.
22A systematic comparison between τ t and τ q has not been made.In this work, we report a comprehensive study of τ q in six graphene samples over a wide range of carrier densities 1.2 < n < 6 × 10 12 /cm 2 and mobility 4,400 < µ < 17,000 cm 2 /Vs. τ q is obtained from Shubnikov-de Haas (SdH) oscillations and ranges approximately 25-74 fs in these samples, corresponding to Γ = 4.5-13 meV. The n-dependence of τ t , τ q , and their ratio τ t /τ q can all be explained by a self-consistent Boltzmann transport theory 3,17 using three parameters: the charged impur...