石墨烯与H、He ${}^{\ast}$或Na原子之间色散相互作用的流体动力学模型和狄拉克模型的比较
Comparison of the hydrodynamic and Dirac models of the dispersion interaction between graphene and H, He${}^{\ast}$, or Na atoms
摘要：
采用Dirac模型研究了不同原子与石墨烯的范德华和Casimir-Polder相互作用，该模型假定准粒子的能量与动量成线性关系.氢原子和分子和亚稳态He ${}^{\ast}$和Na原子的范德华系数作为分离的函数所获得的结果与使用石墨烯的流体动力学模型发现的相应结果进行比较。结果表明，无论间隙参数的值，狄拉克模型导致更小的值的范德华系数比流体动力学模型。提出了亚稳态He ${}^{\ast}$和Na原子在石墨烯上的量子反射实验，该实验能够区分石墨烯电子结构的两种模型。在这方面，这两个原子与石墨烯相互作用的不同模型的唯象势的参数被确定。
英文摘要：
The van der Waals and Casimir-Polder interaction of different atoms with graphene is investigated using the Dirac model which assumes that the energy of quasiparticles is linear with respect to the momentum. The obtained results for the van der Waals coefficients of hydrogen atoms and molecules and atoms of metastable He${}^{\ast}$ and Na as a function of separation are compared with respective results found using the hydrodynamic model of graphene. It is shown that, regardless of the value of the gap parameter, the Dirac model leads to much smaller values of the van der Waals coefficients than the hydrodynamic model. The experiment on quantum reflection of metastable He${}^{\ast}$ and Na atoms on graphene is proposed which is capable to discriminate between the two models of the electronic structure of graphene. In this respect the parameters of the phenomenological potential for both these atoms interacting with graphene described by different models are determined.
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