Abstract A quantum hydrodynamic model is used to study the properties of surface plasmon at an interface between a monolayer graphene sheet and a Voigt substrate. The substrate is assumed as a semiconductor that applying an external magnetic field to the structure in the Voigt configuration. The dispersion relations of graphene surface plasmon are obtained analytically by solving Maxwell’s equations and the quantum hydrodynamic equations. It is found that the quantum effects significantly change the properties of graphene surface plasmon and the features of such plasmon are quite different from those in a classical hydrodynamic model. The results also show that the applied magnetic field and the graphene character greatly affect the graphene surface plasmon. Moreover, The plasmon modes exhibit distinctively different behavior for forward and backward propagating directions, which are in contrast to the cases without the quantum effects. In addition, a one-way plasmon mode is found in the lower band region. Parameter dependence of the effects is examined and discussed.

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基于量子流体动力学模型的石墨烯表面等离子体的色散关系

摘要 量子流体动力学模型用于研究单层石墨烯片和 Voigt 衬底之间界面处的表面等离子体的性质。衬底被假定为半导体，该半导体将外部磁场施加到 Voigt 配置中的结构。通过求解麦克斯韦方程和量子流体动力学方程，解析得到石墨烯表面等离子体的色散关系。发现量子效应显着改变了石墨烯表面等离子体的性质，这种等离子体的特征与经典流体动力学模型中的特征有很大不同。结果还表明，外加磁场和石墨烯特性极大地影响了石墨烯表面等离子体。而且，等离子体模式在向前和向后传播方向上表现出明显不同的行为，这与没有量子效应的情况形成对比。此外，在低能带区域发现了单向等离子体模式。检查和讨论了效果的参数依赖性。