The Low-Temperature Expansion of the Casimir-Polder Free Energy of an Atom with Graphene

Autor(es)

Khusnutdinov, Nail ^[1] ; Emelianova, Natalia ^[1]

Afiliação do(s) autor(es)

^[1] Univ Fed ABC, Ctr Matemat Comp & Cogn, BR-09210170 Santo Andre, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: UNIVERSE; v. 7, n. 3 MAR 2021.
• Citações Web of Science: 0

Resumo

We consider the low-temperature expansion of the Casimir-Polder free energy for an atom and graphene by using the Poisson representation of the free energy. We extend our previous analysis on the different relations between chemical potential mu and mass gap parameter m. The key role plays the dependence of graphene conductivities on the mu and m. For simplicity, we made the manifest calculations for zero values of the Fermi velocity. For mu>m, the thermal correction similar to T-2, and for mu<m, we confirm the recent result of Klimchitskaya and Mostepanenko, that the thermal correction similar to T-5. In the case of exact equality mu=m, the correction similar to T. This point is unstable, and the system falls to the regime with mu>m or mu<m. The analytical calculations are illustrated by numerical evaluations for the Hydrogen atom/graphene system. (AU)

• Processo FAPESP: 19/10719-9 - Os efeitos Casimir e Casimir--Polder para semimetais de Weyl e átomos anisotrópicos
• Beneficiário: Nail Khusnutdinov
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 16/03319-6 - Métodos não perturbativos em teoria quântica e em TQC e aplicações deles aos problemas de física atuais
• Beneficiário: Dmitri Maximovitch Guitman
• Modalidade de apoio: Auxílio à Pesquisa - Temático