Thermal Casimir-Polder interaction of different atoms with graphene
Thermal Casimir-Polder interaction of different atoms with graphene
复制标题
不同原子与石墨烯的热卡西米尔-波尔德相互作用
DOI：
--
复制
发表时间：
2012
期刊：
影响因子：
--
通讯作者：
A. Tureanu
中科院分区：
文献类型：
--
作者：
M. Chaichian;G. L. Klimchitskaya;V. Mostepanenko;A. Tureanu
研究了狄拉克模型描述的原子与悬浮石墨烯膜卡西米尔-波尔德相互作用能量的热校正。我们表明，石墨烯准粒子能谱中的间隙大小对热校正有重大影响。具体地，如果温度远小于间隙参数（或者，大于间隙参数或为间隙参数的量级），则热校正显示为相对小（或者，大）。我们计算了由流体动力学模型和狄拉克模型描述的 He、Na、Rb 和 Cs 原子与石墨烯的热卡西米尔-波尔德相互作用的自由能。结果表明，在使用狄拉克模型进行精确计算时，应该在非零温度下使用极化算子。在石墨烯流体动力学模型框架下获得的Casimir-Polder自由能的计算结果在2$\mu$m以下的分离区域内比Dirac模型大几倍。我们得出的结论是，这两个模型得出的理论预测可以在石墨烯上不同原子的量子反射实验中可靠地区分。
The thermal correction to the energy of Casimir-Polder interaction of atoms with a suspended graphene membrane described by the Dirac model is investigated. We show that a major impact on the thermal correction is made by the size of the gap in the energy spectrum of graphene quasiparticles. Specifically, if the temperature is much smaller than the gap parameter (alternatively, larger or of the order of the gap parameter), the thermal correction is shown to be relatively small (alternatively, large). We have calculated the free energy of the thermal Casimir-Polder interaction of atoms of He, Na, Rb, and Cs with graphene described by both the hydrodynamic and Dirac models. It is shown that in exact computations using the Dirac model, one should use the polarization operator at nonzero temperature. The computational results for the Casimir-Polder free energy obtained in the framework of hydrodynamic model of graphene are several times larger than in the Dirac model within the separation region below 2$\mu$m. We conclude that the theoretical predictions following from the two models can be reliably discriminated in experiments on quantum reflection of different atoms on graphene.