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arXiv 1702.08600cond-mat.mes-hall
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石墨烯中声学声子的Casimir能量

Casimir energy for acoustic phonons in graphene

Y. Koohsarian, K. Javidan, A. Shirzad

摘要:

我们发现Casimir能量,在有限的温度下,声学声子在石墨烯片悬挂在一个矩形沟槽,和相应的Casimir力被解释为校正项的石墨烯的内置的紧张局势。我们发现,这些修正一般打破了张力各向同性的膜,并可以增加或减少膜张力。我们证明,对于一个狭窄的矩形沟槽的边长在几个纳米和几个微米的顺序,这些温度校正预计是明显的($\sim 10^{-4} N/m$)在室温下。通过增加温度,这些校正将更加可观,并且可以应用于调节石墨烯的内置张力。因此,我们引入了石墨烯谐振器的基本谐振频率的校正版本。

英文摘要:

We find the Casimir energy, at finite temperature, for acoustic phonons in a Graphene sheet suspended over a rectangular trench, and the corresponding Casimir forces are interpreted as correction terms to the built-in tensions of the Graphene. We show that these corrections generally break the tensional isotropy of the membrane, and can increase or decrease the membrane tension. We demonstrate that for a narrow rectangular trench with side-lengths in the order of few nanometers and few micrometers, these temperature corrections are expected to be noticeable ($\sim 10^{-4} N/m$) at the room temperature. These corrections would be even more considerable by increasing the temperature, and can be applied for adjusting the built-in tension of the Graphene. Consequently we introduce a corrected version for the fundamental resonance frequency of the Graphene resonator.

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