What is it about?

This study investigates how the curved geometry of nanoscale electron emitters influences the quantum tunneling process that enables field emission. It shows that the curvature causes a transverse confinement effect that increases the energy barrier for escaping electrons. As a result, the emission current is lower than predicted by standard models. The author derives a mathematical correction that improves the accuracy of these predictions, especially in devices that use large arrays of nanometric tips, such as electron microscopes and vacuum nanoelectronic components.

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Why is it important?

We show that the curved geometry of nanoscale electron emitters leads to quantum confinement effects that raise the tunneling barrier and reduce the emission current. This challenges the validity of standard field emission models, which assume a flat geometry and ignore this effect. Our correction improves the accuracy of emission predictions, especially in dense emitter arrays, where even small errors can lead to significant deviations in total current. This is relevant for the design of reliable vacuum electronic devices and high-resolution electron sources.

Perspectives

This article highlights how emitter geometry can influence field emission in ways not captured by standard models. We expect the proposed correction to be useful in improving the accuracy of simulations and theoretical analyses of nanoscale electron sources. Future developments may extend this approach to more complex geometries or incorporate it into design strategies for vacuum nanoelectronic devices and high-resolution electron beams.

Thiago de Assis
Universidade Federal Fluminense

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This page is a summary of: Transverse semiclassical corrections to field emission in curved nanoscale emitters, Journal of Applied Physics, July 2025, American Institute of Physics,
DOI: 10.1063/5.0282731.
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