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arXiv · 1002.3947

Analytical treatment of cold field electron emission from a nanowall emitter

Xizhou Qin·Weiliang Wang·Ningsheng Xu·Zhibing Li·Richard G. Forbes
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Abstract

This paper presents an elementary, approximate analytical treatment of cold field electron emission (CFE) from a classical nanowall. A simple model is used to bring out some of the basic physics of a class of field emitter where quantum confinement effects exist transverse to the emitting direction. A high-level methodology is presented for developing CFE equations more general than the usual Fowler-Nordheim-type (FN-type) equations, and is applied to the classical nanowall. If the nanowall is sufficiently thin, then significant transverse-energy quantization effects occur, and affect the overall form of theoretical CFE equations; also, the tunnelling barrier shape exhibits "fall-off" in the local field value with distance from the surface. A conformal transformation technique is used to derive an analytical expression for the on-axis tunnelling probability.

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Xizhou Qin, Weiliang Wang, Ningsheng Xu, Zhibing Li, Richard G. Forbes. 2010-02-21. Analytical treatment of cold field electron emission from a nanowall emitter. https://doi.org/10.1098/rspa.2010.0460

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