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The normal Casimir-Lifshitz force for laterally moving graphene
Mauro Antezza1,2, N Emelianova3, N Khusnutdinov3
1Laboratoire Charles Coulomb (L2C), UMR 5221 CNRS-University of Montpellier, F-34095 Montpellier, France.
Nanotechnology
|February 29, 2024
Summary
We calculated the Casimir energy for parallel graphene sheets moving at relative velocities. The Casimir force shows velocity-dependent corrections, particularly for graphene/graphene systems, with minimal impact up to Fermi velocity for metal/graphene.
Area of Science:
- Condensed Matter Physics
- Quantum Field Theory
- Materials Science
Background:
- The Casimir effect describes a physical force acting between two uncharged conductive bodies, arising from quantum fluctuations of the electromagnetic field.
- Graphene, a single layer of carbon atoms, exhibits unique electronic properties making it a compelling material for studying quantum phenomena like the Casimir effect.
Purpose of the Study:
- To investigate the influence of relative parallel velocity on the Casimir energy and force between two parallel graphene sheets.
- To compare the Casimir force in a graphene/graphene system with that of an ideal metal/graphene system under relative motion.
Main Methods:
- Utilized the scattering approach to calculate the Casimir energy for the considered systems.
- Analyzed the normal (perpendicular to the planes) Casimir force, focusing on non-relativistic velocities (v ≪ vF).
Main Results:
- For the graphene/graphene system, the relative correction to Casimir energy is proportional to (v/c)^2, reaching a maximum of 0.0033 at v = vF (Fermi velocity).
- For the ideal metal/graphene system, the relative correction to Casimir energy remains zero up to the Fermi velocity (v = vF).
Conclusions:
- Relative motion significantly affects the Casimir force in graphene systems, introducing velocity-dependent corrections.
- The graphene/graphene interface exhibits a more pronounced response to relative velocity compared to the ideal metal/graphene interface, particularly at higher velocities approaching the Fermi velocity.
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