# Fermionic Casimir effect in Graphene

## TL;DR

This paper studies the Fermionic Casimir effect at finite temperature in graphene, deriving explicit expressions for the Casimir energy and force between adatom chains, revealing forces of measurable magnitude relevant to graphene tension.

## Contribution

It provides the first explicit asymptotic expressions for the Fermionic Casimir effect in graphene at various temperatures, linking theoretical predictions to experimental observables.

## Key findings

- Casimir force of about 10^{-2} N/m at 1 nm separation
- Explicit formulas for Casimir energy at different temperatures
- Potential impact on understanding graphene tension

## Abstract

We investigate the Fermionic Casimir effect at finite temperature for two parallel chain of adatoms in a Graphene sheet, and the corresponding Casimir force is interpreted as an interaction between the adatom chains. We apply useful techniques to find asymptotically explicit expressions for the Casimir energy, for small as well as large temperatures (with respect to the effective temperature of the Graphene). We obtain a value in the order of $10^{-2} N/m$ for the Casimir force between (per unit length of) the adatom chains being one nanometer apart, which is considerably noticeable e.g. in comparison to the experimental values for built-in tension of a suspended Graphene sheet.