# Ab Initio calculation of field emission from metal surfaces with atomic--scale defects

## TL;DR

This paper combines density functional theory and quantum transport calculations to analyze how atomic-scale defects affect the work function and field emission from metal surfaces, revealing local enhancements due to defects.

## Contribution

It introduces a general methodology for calculating field emission currents from nano-featured metal surfaces, specifically applied to defected Cu(111) surfaces.

## Key findings

- Defects can locally increase emission current density.
- The increase is mainly due to work function reduction, not field enhancement.
- Fowler--Nordheim equation remains valid with adjusted work function.

## Abstract

In this work we combine density functional theory and quantum transport calculations to study the influence of atomic--scale defects on the work function and field emission characteristics of metal surfaces. We develop a general methodology for the calculation of the field emitted current density from nano-featured surfaces, which is then used to study specific defects on a Cu(111) surface. Our results show that the inclusion of a defect can significantly locally enhance the field emitted current density. However, this increase is attributed solely to the decrease of the work function due to the defect, with the effective field enhancement being minute. Finally, the Fowler--Nordheim equation is found to be valid when the modified value for the work function is used, with only an approximately constant factor separating the computed currents from those predicted by the Fowler--Nordheim equation.