We present the behaviors of both dynamical and static charge susceptibilities of undoped armchair graphene nanoribbon using the Green’s function approach in the context of Holstein model Hamiltonian. Specially, the effects of magnetic field and electron-phonon coupling strength on the the plasmon modes of armchair graphene nanoribbon are investigated via calculating correlation function of charge density operators. Random phase approximation has been implemented to find the interacting dynamical charge susceptibility. The electrons in this systems interacts with each other by mediation of dispersionless Holstein phonons. Our results show the increase of electron phonon coupling strength leads to decrease intensity of charge collective mode. Also the frequency position of the collective mode tends to higher frequencies with electron phonon coupling. We also show that the frequency positions of plasmon mode of armchair nanoribbon are not affected by the increase of magnetic field. Furthermore the number of collective excitation mode increases with ribbon width in the presence of electron-phonon interaction. Finally the temperature dependence of static charge structure factor of armchair graphene nanoribbon is studied. The effects of magnetic field, ribbon width and electron-phonon interaction on the static structure factor are addressed in details.

我们在霍尔斯坦模型哈密顿量的背景下，使用格林函数方法介绍了未掺杂的扶手椅石墨烯纳米带的动态和静电荷敏感性。特别地，通过计算电荷密度算符的相关函数，研究了磁场和电子-声子耦合强度对扶手椅石墨烯纳米带的等离子体激元模态的影响。已经实现了随机相位近似来发现相互作用的动态电荷敏感性。该系统中的电子通过无色荷斯坦声子的介导而相互作用。我们的结果表明，电子声子耦合强度的提高导致电荷集体模式强度的降低。同样，通过电子声子耦合，集体模式的频率位置趋向于更高的频率。我们还表明，扶手椅纳米带的等离激元模式的频率位置不受磁场增加的影响。此外，在存在电子-声子相互作用的情况下，集体激发模式的数量随着带的宽度而增加。最后研究了扶手椅石墨烯纳米带静电荷结构因子的温度依赖性。详细讨论了磁场，带宽度和电子-声子相互作用对静态结构因子的影响。最后研究了扶手椅石墨烯纳米带静电荷结构因子的温度依赖性。详细讨论了磁场，带宽度和电子-声子相互作用对静态结构因子的影响。最后研究了扶手椅石墨烯纳米带静电荷结构因子的温度依赖性。详细讨论了磁场，带宽度和电子-声子相互作用对静态结构因子的影响。