标题： 两片石墨烯薄片之间的热 Casimir 相互作用的能斯特定理 显示英文标题

标题： Nernst heat theorem for the thermal Casimir interaction between two graphene sheets

摘要： 我们利用Lifshitz理论，在低温下得到了两片平行石墨烯薄片的卡西米尔自由能、熵和压力的解析渐近表达式。 基于量子电动力学在非零温度下的第一性原理，用(2+1)维时空中的极化张量描述了电磁波在石墨烯上的反射系数。 卡西米尔熵的主要贡献以及卡西米尔能量和压力的热修正主要由非零马图巴拉频率下极化张量的热修正给出。 结果表明，当温度趋于零时，两片石墨烯薄片的卡西米尔熵趋于零，即热力学第三定律（Nernst热定理）成立。 在低温下，两片石墨烯薄片之间卡西米尔压力的热修正幅度被证明与间距成反比。 讨论了石墨烯的Nernst热定理，并在金属板和介电板的Casimir物理问题背景下探讨了相关问题。 显示英文摘要

摘要： We find analytic asymptotic expressions at low temperature for the Casimir free energy, entropy and pressure of two parallel graphene sheets in the framework of the Lifshitz theory. The reflection coefficients of electromagnetic waves on graphene are described on the basis of first principles of quantum electrodynamics at nonzero temperature using the polarization tensor in (2+1)-dimensional space-time. The leading contributions to the Casimir entropy and to the thermal corrections to the Casimir energy and pressure are given by the thermal correction to the polarization tensor at nonzero Matsubara frequencies. It is shown that the Casimir entropy for two graphene sheets goes to zero when the temperature vanishes, i.e., the third law of thermodynamics (the Nernst heat theorem) is satisfied. At low temperature, the magnitude of the thermal correction to the Casimir pressure between two graphene sheets is shown to vary inversely proportional to the separation. The Nernst heat theorem for graphene is discussed in the context of problems occurring in Casimir physics for both metallic and dielectric plates.