Investigation of Acoustomagnetoelectric Effect in Bandgap Graphene by the Boltzmann Transport Equation

作     者：Raymond Edziah Samuel S. Bentsiefi Kwadwo Dompreh Anthony Twum Emmanuel Kofi Amewode Patrick Mensah-Amoah Ebenezer T. Tatchie Cynthia Jebuni-Adanu Samuel Y. Mensah Raymond Edziah;Samuel S. Bentsiefi;Kwadwo Dompreh;Anthony Twum;Emmanuel Kofi Amewode;Patrick Mensah-Amoah;Ebenezer T. Tatchie;Cynthia Jebuni-Adanu;Samuel Y. Mensah

作者机构：Department of Physics University of Cape Coast Cape Coast Ghana Department of Physics Education University of Education Winneba Ghana 

出 版 物：《World Journal of Condensed Matter Physics》 (凝固态物理国际期刊（英文）)

年 卷 期：2024年第14卷第1期

页      面：10-20页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Boltzmann Transport Equation Acoustomagnetoelctric Effect Surface Acoustic Wave Gapless Graphene Weiss Oscillations 

摘      要：We study the acoustomagnetoelectric (AME) effect in two-dimensional graphene with an energy bandgap using the semiclassical Boltzmann transport equation within the hypersound regime, (where represents 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.