A SemiContinuous Solution of the Boltzmann Equation for Carrier‐Carrier and Carrier‐Phonon Interaction

Lichtenberger, Peter; Auer, Christoph; Schürrer, Ferdinand

doi:10.1080/00411450701465700

Cited by 1 publication

(2 citation statements)

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“…15 With this approach, effects of nonequilibrium occupation numbers of electron and optical phonon states can be treated dynamically. 13,16 This has been demonstrated for several problems in the field of carrier transport 17 including metallic CNTs. 13 We adhere to the linear bandstructure approximation of graphene…”

Section: Kinetic Modelmentioning

confidence: 91%

“…15 With this approach, all effects of nonequilibrium occupation numbers of electron and optical phonon states can be treated dynamically. 13,16 Therefore, we are not restricted by given assumptions on the distribution functions. In addition to the simulations presented in this paper, the kinetic model, together with the numerical scheme, forms a general framework for the kinetic transport in graphene that can be easily adopted for additional interaction processes, such as surface phonons, and more complex device geometries.…”

Section: Introductionmentioning

confidence: 99%

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High-field transport and optical phonon scattering in graphene

2011

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The coupled dynamics of electrons and optical phonons in graphene is investigated. For this purpose, a kinetic model based on space-dependent Boltzmann transport equations for electrons and optical phonons is established. This system is solved by deterministic methods that provide efficiently accurate results by dynamically treating nonequilibrium phenomena. The numerical simulations clearly show the importance of this approach when calculating I-V characteristics over a reasonable voltage range. Optical phonon occupations surpassing equilibrium values by factors of thousands were found which affect the charge carrier transport considerably in graphene.

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