Volume 119, Number 4, August 2017
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||03 November 2017|
Casimir energy for acoustic phonons in graphene
1 Department of Physics, Ferdowsi University of Mashhad - P.O. Box 91775-1436, Mashhad, Iran
2 Department of Physics, Isfahan University of Technology - P.O. Box 84156-83111, Isfahan, Iran
3 School of Physics, Institute for Research in Fundamental Sciences (IPM) P.O. Box 19395-5531, Tehran, Iran
Received: 21 April 2017
Accepted: 1 October 2017
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 at 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.
PACS: 81.05.ue – Graphene / 65.80.Ck – Thermal properties of graphene
© EPLA, 2017
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