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dc.contributor.author | Klimchitskaya G.L. | |
dc.contributor.author | Mostepanenko V.M. | |
dc.date.accessioned | 2021-02-25T21:03:02Z | |
dc.date.available | 2021-02-25T21:03:02Z | |
dc.date.issued | 2020 | |
dc.identifier.issn | 2470-0010 | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/162968 | |
dc.description.abstract | © 2020 American Physical Society. The analytic asymptotic expressions for the Casimir free energy and entropy for two parallel graphene sheets possessing nonzero energy gap Δ and chemical potential μ are derived at arbitrarily low temperature. Graphene is described in the framework of thermal quantum field theory in the Matsubara formulation by means of the polarization tensor in (2+1)-dimensional space-time. Different asymptotic expressions are found under the conditions Δ>2μ, Δ=2μ, and Δ<2μ taking into account both the implicit temperature dependence due to a summation over the Matsubara frequencies and the explicit one caused by a dependence of the polarization tensor on temperature as a parameter. It is shown that for both Δ>2μ and Δ<2μ the Casimir entropy satisfies the third law of thermodynamics (the Nernst heat theorem), whereas for Δ=2μ this fundamental requirement is violated. The physical meaning of the discovered anomaly is considered in the context of thermodynamic properties of the Casimir effect between metallic and dielectric bodies. | |
dc.relation.ispartofseries | Physical Review D | |
dc.title | Quantum field theoretical description of the Casimir effect between two real graphene sheets and thermodynamics | |
dc.type | Article | |
dc.relation.ispartofseries-issue | 1 | |
dc.relation.ispartofseries-volume | 102 | |
dc.collection | Публикации сотрудников КФУ | |
dc.source.id | SCOPUS24700010-2020-102-1-SID85091722135 |