Graphene membranes and the Dirac-Born-Infeld action

TL;DR

This paper introduces a novel theoretical framework using the Dirac-Born-Infeld action to model graphene membrane dynamics, capturing electronic properties and quantum effects, with applications in Casimir physics and quantum electrodynamics.

Contribution

It presents the first application of the Dirac-Born-Infeld action to describe graphene membranes, integrating electronic and dynamic properties in a unified model.

Findings

Provides a new theoretical approach for graphene membrane analysis

Enables study of quantum fluctuations and static configurations

Potential applications in Casimir and QED phenomena

Abstract

We propose the use of the Dirac-Born-Infeld action in the phenomenological description of graphene sheet dynamics and interactions. Both the electronic properties of the Dirac fermions and the overall dynamics can be incorporated into this model. Classical static configurations, as well as quantum fluctuations of the membrane degrees of freedom can be studied in this framework. This makes it an interesting tool for Casimir physics and novel QED processes.