The normal Casimir-Lifshitz force for laterally moving graphene

Author(s)

Antezza, Mauro ; Emelianova, N. ; Khusnutdinov, N.

• Document type: Journal article
• Source: Nanotechnology; v. 35, n. 23, p. 11-pg., 2024-06-03.

Abstract

We consider the system of two parallel sheets of graphene which are moving with relative parallel velocity. (v) over right arrow and calculate the Casimir energy by using the scattering approach. We analyze in detail the normal (perpendicular to the planes) Casimir force for two systemsgraphene/graphene and ideal metal/graphene. In the non-relativistic case v << vF, the relative correction to the Casimir energy (epsilon(v) -epsilon(0))/epsilon 0 is proportional to the (v/c)(2) (the maximum value is 0.0033 for the gapeless case and v = v(F)) for the first system, and it is zero up to the Fermi velocity v = v(F) for system ideal metal/graphene. (AU)

• FAPESP's process: 22/08771-5 - The polarization tensor approach for Casimir effect
• Grantee: Nail Khusnutdinov
• Support Opportunities: Regular Research Grants
• FAPESP's process: 21/10128-0 - Quantum field theory under the influence of external conditions
• Grantee: Dmitry Vasilevich
• Support Opportunities: Research Projects - Thematic Grants