Current density and conductivity through modified gravity in the graphene with defects

TL;DR

This paper models how defects in graphene influence electron current density and conductivity through a modified gravity framework based on Mp-branes and spin curvature differences.

Contribution

It introduces a novel approach linking graphene defects to modified gravity effects using a theoretical Mp-brane model.

Findings

Defects cause non-neutral curvature differences leading to current and conductivity changes.

The model predicts both positive and negative current densities depending on defect types.

Modified gravity effects are significant in understanding electron behavior in defective graphene.

Abstract

We propose a model describing the evolution of the free electron current density in graphene. Based on the concept of Mp-branes, we perform the analysis using the difference between curvatures of parallel and antiparallel spins. In such a framework an effective graviton emerges in the form of gauge field exchange between electrons. In a plain graphene system, the curvatures produced by both kinds of spins neutralize each other. However, in the presence of defects, the inequality between curvatures leads to the emergence of current density, modified gravity and conductivity. Depending on the type of the defects, the resulting current density can be negative or positive.