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Two approaches for describing the Casimir interaction in graphene: Density-density correlation function versus polarization tensor
Russian Academic Science, Russia St Petersburg State Polytech University, Russia .
Russian Academic Science, Russia St Petersburg State Polytech University, Russia .
Linköping University, Department of Physics, Chemistry and Biology, Theoretical Physics. Linköping University, The Institute of Technology.
2014 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, E-ISSN 1550-235X, Vol. 89, no 12, 125407- p.Article in journal (Refereed) Published
Abstract [en]

A comparison study of theoretical approaches to the description of the Casimir interaction in layered systems including graphene is performed. It is shown that at zero temperature, the approach using the polarization tensor leads to the same results as the approach using the longitudinal density-density correlation function of graphene. An explicit expression for the zero-temperature transverse density-density correlation function of graphene is provided. We further show that the computational results for the Casimir free energy of graphene-graphene and graphene-Au plate interactions at room temperature, obtained using the temperature-dependent polarization tensor, deviate significantly from those using the longitudinal density-density correlation function defined at zero temperature. We derive both the longitudinal and transverse density-density correlation functions of graphene at nonzero temperature. The Casimir free energy in layered structures including graphene, computed using the temperature-dependent correlation functions, is exactly equal to that found using the polarization tensor.

Place, publisher, year, edition, pages
American Physical Society , 2014. Vol. 89, no 12, 125407- p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-105570DOI: 10.1103/PhysRevB.89.125407ISI: 000332458700003OAI: oai:DiVA.org:liu-105570DiVA: diva2:708868
Available from: 2014-03-31 Created: 2014-03-27 Last updated: 2017-12-05

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Sernelius, Bo

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  • apa
  • harvard1
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