Induced charge distribution near monolayer graphene under external electric field

Determine the spatial distribution of the induced charge density in the vicinity of a monolayer graphene sheet when an external electric field is applied to the graphene sheet, characterizing the arrangement and profile of induced charges adjacent to the graphene plane.

Background

The paper proposes leveraging graphene’s incomplete screening of external electrostatic fields to enable a three-plate capacitor design with potentially higher energy density. A key physical ingredient for this concept is how induced charge is arranged around a single-layer graphene when subjected to an external field.

While prior studies have examined two- and multilayer graphene, the perpendicular charge distribution for monolayer graphene has been explored less, leaving the precise induced charge density profile near the sheet unresolved. Clarifying this distribution would underpin both the device concept and broader understanding of screening in 2D conductors.