We study the acoustomagnetoelectric (AME) effect in
two-dimensional graphene with an energy bandgap using the semiclassical
Boltzmann transport equation within the hypersound regime, (whererepresents the acoustic wavenumber and is the mean free path of the electron). The Boltzmann transport equation and other
relevant equations were solved analytically to obtain an expression for the AME
current density, consisting of longitudinal and Hall components. Our numerical
results indicate that both components of the AME current densities display
oscillatory behaviour. Furthermore, geometric resonances and Weiss oscillations
were each defined using the relationship between the current density and
Surface Acoustic Wave (SAW) frequency and the inverse of the applied magnetic
field, respectively. Our results show that the AME current density of bandgap
graphene, which can be controlled to suit a particular electronic device
application, is smaller than that of (gapless) graphene and is therefore, more
suited for nanophotonic device applications.
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