2015/04/21 by G. L. Klimchitskaya, V. M. Mostepanenko · 5 citations
Chemistry · Mathematics · Physics and Astronomy · #Analytic continuation #Casimir effect #Casimir pressure #Chemistry #Cosmology and Gravitation Theories #Formalism (music) #Geometry #Graphene #Mathematical analysis #Mathematics #Noncommutative and Quantum Gravity Theories #Parametric statistics #Physics #Polarization (electrochemistry) #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Tensor (intrinsic definition) #Thermal #Thermodynamics #cond-mat.other #quant-ph
paper · pdf · doi:10.1103/physrevb.91.174501
published as Phys. Rev. B, v.91, 174501-(1-10), (2015) · 19 pages, 2 tables, 3 figures; Phys. Rev. B, accepted for publication
arxiv created 2015/04/21 · openalex publication_date 2015/05/05 · arxiv updated 2015/05/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Using the recently derived representation for the polarization tensor in (2+1)-dimensional space-time allowing an analytic continuation to the entire plane of complex frequencies, we obtain simple analytic expressions for the reflection coefficients of graphene at nonzero Matsubara frequencies. In the framework of the Lifshitz theory, these coefficients are shown to lead to nearly exact results for the Casimir free energy and pressure between two graphene sheets. The constituent parts of large thermal effect, arising in the Casimir interaction at short separations due to an explicit parametric dependence of the polarization tensor on the temperature and an implicit dependence through a summation over the Matsubara frequencies, are calculated. It is demonstrated that an explicit thermal effect exceeds an implicit one at shorter separations, both effects are similar in magnitudes at moderate separations, and that an implicit effect becomes a larger one with further increase of separation. Possible applications of the developed formalism, other than the Casimir effect, are discussed.