Interaction of a graphene sheet with a ferromagnetic metal plate

TL;DR

This paper investigates the Casimir force between a graphene sheet and a ferromagnetic metal substrate, highlighting the influence of magnetic properties and graphene conductivity on nanoscale surface interactions.

Contribution

It provides a detailed calculation of the Casimir force considering graphene's conductivity via the Kubo formalism and the magnetic effects of the metal, which are novel insights.

Findings

Magnetic properties significantly affect the Casimir force at low temperatures.

Graphene conductivity influences the Casimir interaction.

Metal thickness has a minor impact on the force.

Abstract

Nanoscale surface forces such as Casimir and the van der Waals forces can have a significant influence on fabrication, handling and assembly processes as well as the performance of micro and nano devices. In this paper, the investigation and the calculation of the Casimir force between a graphene sheet and a ferromagnetic metal substrate in a vacuum are presented. The reflection coefficients of graphene are graphene-conductivity dependent, and the conductivity of graphene is described by the Kubo formalism. There is an effect of magnetic properties of the metal on the Casimir interaction. The magnetic effect plays a significant role at low temperatures or high value of chemical potential. The numerical results also demonstrate that the thickness of a metal slab has a minor influence on the Casimir force. The investigation and findings about the Casimir force in this study would lead to useful information and effective solutions for design and manufacturing of micro and nano devices, especially in the areas of micro and nano machining, fabrication, manipulation, assembly and metrology.