论文标题

Dirac/Weyl节诱导的振荡Casimir效应

Dirac/Weyl-node-induced oscillating Casimir effect

论文作者

Nakayama, Katsumasa, Suzuki, Kei

论文摘要

Casimir效应是由限制在有限大小系统中的相对论场的零点能量引起的量子现象。很长一段时间以来,研究了光子场的这种效果,而在狄拉克/Weyl半法中,实现了fermion场的对应物是一个开放的问题。从理论上讲,我们证明了dirac/weyl半金属中相对论电子场的Casimir效应的典型特性,并显示了有效的哈密顿量的结果,用于逼真的材料,例如CD $ _3 $,如$ _2 $和Na $ _3 $ bi。我们发现Casimir能量的振荡是薄膜厚度的函数,这源于动量空间中狄拉克/Weyl节点的存在。在实验上,可以在半法的薄膜中观察到这种效果,其中热力学量的厚度依赖性受Casimir能量的影响。

The Casimir effect is a quantum phenomenon induced by the zero-point energy of relativistic fields confined in a finite-size system. This effect for photon fields has been studied for a long time, while the realization of counterparts for fermion fields in Dirac/Weyl semimetals is an open question. We theoretically demonstrate the typical properties of the Casimir effect for relativistic electron fields in Dirac/Weyl semimetals and show the results from an effective Hamiltonian for realistic materials such as Cd$_3$As$_2$ and Na$_3$Bi. We find an oscillation of the Casimir energy as a function of the thickness of the thin film, which stems from the existence of Dirac/Weyl nodes in momentum space. Experimentally, such an effect can be observed in thin films of semimetals, where the thickness dependence of thermodynamic quantities is affected by the Casimir energy.

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