We investigate the thermal Casimir interaction of a suspended graphene described by the Dirac model with a plate made of dielectric or metallic materials. The reflection coefficients on graphene expressed in terms of a temperature-dependent polarization tensor are used. We demonstrate that for a graphene with nonzero mass gap parameter the Casimir free energy remains nearly constant (and the thermal correction negligibly small) over some temperature interval. For the interaction of graphene with metallic plate, the free energy is nearly the same, irrespective of whether the metal is nonmagnetic or magnetic and whether it is described using the Drude- or plasma-model approaches. The free energy computed using the Dirac model was compared with that computed using the hydrodynamic model of graphene and big differences accessible for experimental observation have been found. For dielectric and nonmagnetic metallic plates described by the Drude model these differences vanish with increasing temperature (separation). However, for nonmagnetic metals described by the plasma model and for magnetic metals, a severe dependence on the chosen theoretical description of graphene remains even at high temperature. In all cases the analytic asymptotic expressions for the free energy at high temperature are obtained and found in a very good agreement with the results of numerical computations.
Thermal quantum field theory and the Casimir interaction between dielectrics
基于热量子场论的松原公式，重新考虑了两块不同厚度介质板之间的Casimir和van der Waals相互作用。我们简要地回顾了在热量子场论的框架下，不使用涨落耗散定理的Lifshitz公式的两个主要推导。一组特殊的条件下，这些推导仍然有效的耗散的存在下，制定。低温行为的Casimir和范德华力之间的相互作用不同的介电常数被发现分析从Lifshitz理论的理想化模型的稀介电常数和真正的介电常数与有限的静态介电常数。在低温下卡西米尔和范德华相互作用的自由能、压力和熵证明了与以前发现的理想金属相同的对温度的普遍依赖性。熵在温度为零时消失，证明了能斯特热定理的正确性。这解决了长期存在的问题的一致性的利弗希茨理论与热力学的情况下，电介质板。得到的渐近表达式进行比较，数值计算的不同和类似的真正的时间和发现是非常好的协议。在介质板的情况下，零频率项的松原和的作用进行了研究。它表明，包括电导率的介电响应模型导致违反能斯特热定理。讨论了这一结果在非接触原子摩擦和实际金属间Casimir相互作用等热点问题中的应用。
Measurement of the Unusual Dielectric Response to Low-Frequency s-Polarized Evanescent Waves in Metals with {\break} Implications for the Casimir Effect
通过精确测量铜板反射的振荡磁场横向分量，发现实验数据排除了基于 Drude 模型的经典电动力学预测，证明该模型无法完整描述金属对 s 偏振倏逝波的电磁响应，对 Casimir 效应等领域具有重要启示。
The Casimir Force between Two Graphene Sheets: 2D Fresnel Reflection Coefficients, Contributions of Different Polarizations, and the Role of Evanescent Waves
Repulsive Casimir forces between solid materials with high refractive index intervening liquids
为了探索固体材料与液体作为中间介质之间的排斥Casimir/van der Waals力，我们分析了各种材料的介电数据，例如PTFE，聚苯乙烯，二氧化硅和二十多种液体。虽然从不同的来源存在的介电数据的显着变化，我们提供了一个方案的基础上测得的静态介电常数，折射率，并应用Kramers Kronig（KK）的一致性介电数据，以创建准确的介电函数在虚频率。后者是必要的更精确的力计算通过Lifshitz理论允许可靠的预测排斥Casimir力。
