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

Author(s)

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

Affiliation

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

• Document type: Journal article
• Source: UNIVERSE; v. 7, n. 3 MAR 2021.
• Web of Science Citations: 0

Abstract

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)

• FAPESP's process: 19/10719-9 - The Casimir and Casimir--Polder effects for Weyl semi-metals and anisotropic atoms
• Grantee: Nail Khusnutdinov
• Support Opportunities: Regular Research Grants
• FAPESP's process: 16/03319-6 - Non perturbative methods in quantum theory and QFT and their application to actual physical problems
• Grantee: Dmitri Maximovitch Guitman
• Support Opportunities: Research Projects - Thematic Grants