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    Transport coefficients of graphene: Interplay of impurity scattering, Coulomb interaction, and optical phonons

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    Author
    Xie, Hong-Yi; Foster, Matthew S.
    Date
    2016
    Abstract
    We study the electric and thermal transport of the Dirac carriers in monolayer graphene using the Boltzmann-equation approach. Motivated by recent thermopower measurements [F. Ghahari, H.-Y. Xie, T. Taniguchi, K. Watanabe, M. S. Foster, and P. Kim, Phys. Rev. Lett. 116, 136802 (2016)], we consider the effects of quenched disorder, Coulomb interactions, and electron–optical-phonon scattering. Via an unbiased numerical solution to the Boltzmann equation we calculate the electrical conductivity, thermopower, and electronic component of the thermal conductivity, and discuss the validity of Mott's formula and of the Wiedemann-Franz law. An analytical solution for the disorder-only case shows that screened Coulomb impurity scattering, although elastic, violates the Wiedemann-Franz law even at low temperature. For the combination of carrier-carrier Coulomb and short-ranged impurity scattering, we observe the crossover from the interaction-limited (hydrodynamic) regime to the disorder-limited (Fermi-liquid) regime. In the former, the thermopower and the thermal conductivity follow the results anticipated by the relativistic hydrodynamic theory. On the other hand, we find that optical phonons become non-negligible at relatively low temperatures and that the induced electron thermopower violates Mott's formula. Combining all of these scattering mechanisms, we obtain the thermopower that quantitatively coincides with the experimental data.
    Citation
    Xie, Hong-Yi and Foster, Matthew S.. "Transport coefficients of graphene: Interplay of impurity scattering, Coulomb interaction, and optical phonons." Physical Review B, 93, no. 19 (2016) American Physical Society: https://doi.org/10.1103/PhysRevB.93.195103.
    Published Version
    https://doi.org/10.1103/PhysRevB.93.195103
    Type
    Journal article
    Publisher
    American Physical Society
    Citable link to this page
    https://hdl.handle.net/1911/94200
    Rights
    Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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    • Physics and Astronomy Publications [1771]

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    Home | FAQ | Contact Us | Privacy Notice | Accessibility Statement
    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
    Mailing Address: MS-44, P.O.BOX 1892, Houston, Texas 77251-1892
    Site Map