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dc.contributor.authorXie, Hong-Yi
Foster, Matthew S.
dc.date.accessioned 2017-05-05T19:00:54Z
dc.date.available 2017-05-05T19:00:54Z
dc.date.issued 2016
dc.identifier.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.
dc.identifier.urihttps://hdl.handle.net/1911/94200
dc.description.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.
dc.language.iso eng
dc.publisher American Physical Society
dc.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.
dc.title Transport coefficients of graphene: Interplay of impurity scattering, Coulomb interaction, and optical phonons
dc.type Journal article
dc.citation.journalTitle Physical Review B
dc.contributor.org Rice Center for Quantum Materials
dc.citation.volumeNumber 93
dc.citation.issueNumber 19
dc.type.dcmi Text
dc.identifier.doihttps://doi.org/10.1103/PhysRevB.93.195103
dc.type.publication publisher version
dc.citation.articleNumber 195103ᅠ


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