Acoustic Casimir effect for Graphene (original) (raw)

2017, arXiv: Mesoscale and Nanoscale Physics

By applying a new technique, we obtain the acoustic Casimir energy, for a few-layer Graphene membrane suspended over a rectangular trench, at finite temperature, and the Casimir forces are interpreted as temperature-dependent correction terms to the built-in (surface) tensions of the membrane. 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 rectangular trench with side-lengths both in the order of few micrometers, these temperature corrections are negligible ($\sim 10^{-10} N/m$), while for a narrow rectangular trench with side-lengths in the order of few nanometers and few micrometers, these corrections are expected to be noticeable ($\sim 10^{-4} N/m$) at the room temperature. These temperature corrections would be even more considerable by increasing the purity and/or the temperature of the Graphene membrane. Consequently we introduce a corrected version for the fun...

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