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arXiv · 1412.1678

Acoustomagnetoelectric Effect in Graphene Nanoribbon in the Presence of External Electric and Magnetic Field

K. A. Dompreh·S. Y. Mensah·S. S. Abukari·R. Edziah·N. G. Mensah·H. A. Quaye
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Abstract

The Acoustomagnetoelectric Effect (AME) in Graphene Nanoribbon (GNR) was theoretically studied using the Boltzmann kinetic equation. On open circuit, the general formular for Surface Acoustomagnetoelectric field ($\vec{E}_{SAME}$) in GNR with energy dispersion $\varepsilon(p)$ near the Fermi point was calculated. The $E_{SAME}$ was found to depend on the magnetic strength ($η$), $α$ = ${\hbar ω_q}/{E_g}$ and the energy gap ($E_g$). The expression for $\vec{E}_{SAME}$ was analyzed numerically for varying width of GNR, magnetic strength ($η$) and $α$ at different sub-bands indices ($p_i$). It was noted that the dependence of $\vec{E}_{SAME}$ on the width of GNR increased to a saturation point of approximately $15$Vcm$^{-1}$ and remained constant. For $E_{SAME}$ versus $η$, the $E_{SAME}$ increases rapidly to a maximum point and then decayed to a constant minimum value. The graph was modulated either by varying the width of GNR or the sub-band index $p_i$ with an inversion occurring at $p_i = 6$. The dependence of $E_{SAME}$ versus $α$ was analyzed. The $E_{SAME}$ was constant up to a point and sharply increased asymptotically at approximately $α= 1$. A $3$D graph of $\vec{E}_{SAME}$ with $η$ and width is also presented. This study is relevant for investigating the properties of GNR.

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K. A. Dompreh, S. Y. Mensah, S. S. Abukari, R. Edziah, N. G. Mensah, H. A. Quaye. 2015-05-19. Acoustomagnetoelectric Effect in Graphene Nanoribbon in the Presence of External Electric and Magnetic Field. https://arxiv.org/abs/1412.1678

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