Volume 26, Issue 1
Simulation of Bipolar Charge Transport in Graphene by Using a Discontinuous Galerkin Method

Armando Majorana, Giovanni Nastasi & Vittorio Romano

Commun. Comput. Phys., 26 (2019), pp. 114-134.

Published online: 2019-02

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  • Abstract

Charge transport in suspended monolayer graphene is simulated by a numerical deterministic approach, based on a discontinuous Galerkin (DG) method, for solving the semiclassical Boltzmann equation for electrons. Both the conduction and valence bands are included and the interband scatterings are taken into account. The use of a Direct Simulation Monte Carlo (DSMC) approach, which properly describes the interband scatterings, is computationally very expensive because the valence band is very populated and a huge number of particles is needed. Also the choice of simulating holes instead of electrons does not overcome the problem because there is a certain degree of ambiguity in the generation and recombination terms of electronhole pairs. Often, direct solutions of the Boltzmann equations with a DSMC neglect the interband scatterings on the basis of physical arguments. The DG approach does not suffer from the previous drawbacks and requires a reasonable computing effort. In the present paper the importance of the interband scatterings is accurately evaluated for several values of the Fermi energy, addressing the issue related to the validity of neglecting the generation-recombination terms. It is found out that the inclusion of the interband scatterings produces huge variations in the average values, as the current, with zero Fermi energy while, as expected, the effect of the interband scattering becomes negligible by increasing the absolute value of the Fermi energy

  • Keywords

Graphene, bipolar charge transport, discontinuous Galerkin method.

  • AMS Subject Headings

82D37, 82C70, 65M60, 82C80

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COPYRIGHT: © Global Science Press

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@Article{CiCP-26-114, author = {}, title = {Simulation of Bipolar Charge Transport in Graphene by Using a Discontinuous Galerkin Method}, journal = {Communications in Computational Physics}, year = {2019}, volume = {26}, number = {1}, pages = {114--134}, abstract = {

Charge transport in suspended monolayer graphene is simulated by a numerical deterministic approach, based on a discontinuous Galerkin (DG) method, for solving the semiclassical Boltzmann equation for electrons. Both the conduction and valence bands are included and the interband scatterings are taken into account. The use of a Direct Simulation Monte Carlo (DSMC) approach, which properly describes the interband scatterings, is computationally very expensive because the valence band is very populated and a huge number of particles is needed. Also the choice of simulating holes instead of electrons does not overcome the problem because there is a certain degree of ambiguity in the generation and recombination terms of electronhole pairs. Often, direct solutions of the Boltzmann equations with a DSMC neglect the interband scatterings on the basis of physical arguments. The DG approach does not suffer from the previous drawbacks and requires a reasonable computing effort. In the present paper the importance of the interband scatterings is accurately evaluated for several values of the Fermi energy, addressing the issue related to the validity of neglecting the generation-recombination terms. It is found out that the inclusion of the interband scatterings produces huge variations in the average values, as the current, with zero Fermi energy while, as expected, the effect of the interband scattering becomes negligible by increasing the absolute value of the Fermi energy

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2018-0052}, url = {http://global-sci.org/intro/article_detail/cicp/13028.html} }
TY - JOUR T1 - Simulation of Bipolar Charge Transport in Graphene by Using a Discontinuous Galerkin Method JO - Communications in Computational Physics VL - 1 SP - 114 EP - 134 PY - 2019 DA - 2019/02 SN - 26 DO - http://dor.org/10.4208/cicp.OA-2018-0052 UR - https://global-sci.org/intro/cicp/13028.html KW - Graphene, bipolar charge transport, discontinuous Galerkin method. AB -

Charge transport in suspended monolayer graphene is simulated by a numerical deterministic approach, based on a discontinuous Galerkin (DG) method, for solving the semiclassical Boltzmann equation for electrons. Both the conduction and valence bands are included and the interband scatterings are taken into account. The use of a Direct Simulation Monte Carlo (DSMC) approach, which properly describes the interband scatterings, is computationally very expensive because the valence band is very populated and a huge number of particles is needed. Also the choice of simulating holes instead of electrons does not overcome the problem because there is a certain degree of ambiguity in the generation and recombination terms of electronhole pairs. Often, direct solutions of the Boltzmann equations with a DSMC neglect the interband scatterings on the basis of physical arguments. The DG approach does not suffer from the previous drawbacks and requires a reasonable computing effort. In the present paper the importance of the interband scatterings is accurately evaluated for several values of the Fermi energy, addressing the issue related to the validity of neglecting the generation-recombination terms. It is found out that the inclusion of the interband scatterings produces huge variations in the average values, as the current, with zero Fermi energy while, as expected, the effect of the interband scattering becomes negligible by increasing the absolute value of the Fermi energy

Armando Majorana, Giovanni Nastasi & Vittorio Romano. (2019). Simulation of Bipolar Charge Transport in Graphene by Using a Discontinuous Galerkin Method. Communications in Computational Physics. 26 (1). 114-134. doi:10.4208/cicp.OA-2018-0052
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