Acoustomagnetoelectric effect in graphene nanoribbon in the presence of external electric and magnetic fields

Abstract

Acoustomagnetoelectric Efect (AME) in Graphene Nanoribbon (GNR) in the presence of an external electric and magnetic felds was studied using the Boltzmann kinetic equation. On open circuit, the Surface Acoustomag netoelectric feld (E~SAME) in GNR was obtained in the region ql >> 1, for energy dispersion ε(p) near the Fermi level. The dependence of E~ SAME on the magnetic feld strength (η), the sub-band index (pi), and the width (N) of GNR were analysed numerically. For E~ SAME versus η, a non-linear graph was obtained. From the graph, at low magnetic feld strength (η < 0.62), the obtained graph qualitatively agreed with that experimentally observed in graphite. However, at high magnetic feld strength (η > 0.62), the E~SAME falls rapidly to a minimum value. We observed that in GNR, the maximum E~ SAME was obtained at magnetic field H = 3.2Am−1. The graphs obtained were modulated by varying the sub-band index pi with an inversion observed when pi = 6. The dependence of E~ SAME on the width N for various pi was also studied where, E~ SAME decreases for increase in pi .To enhanced the understanding of E~ SAME on the N and η, a 3D graph was plotted. This study is relevant for investigating the properties of GNR