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• W3188804531 abstract "The current due to cold tunneling of electrons from a metallic surface exposed to high electric fields, regularly named ``dark current,'' is commonly described in modern literature using an analytical approximate solution provided by Murphy and Good [Phys. Rev. 102, 1464 (1956)]. This expression, which corrects earlier work by Fowler and Nordheim, is a Fowler-Nordheim-type equation: $Iensuremath{sim}{E}^{2}mathrm{exp}(ensuremath{-}a/E)$, where $I$ is the dark current, $E$ is the local electric field, and $a$ is a system-specific constant. In this paper, a numerical approximation, rather than the analytical one given by Murphy and Good, is presented. This approximation is accurate over a wide range of fields, and is used to derive the effective field enhancement factor $ensuremath{beta}$. On the basis of this approximation, and considering local field and current fluctuations, two alternative methods for $ensuremath{beta}$ estimation are presented. These methods allow instantaneous field-specific estimation of $ensuremath{beta}$, rather than the average estimate derived with current methods. The applicability of fluctuation-based methods is demonstrated by numerical simulation in a variety of conditions. The methods are applied to estimate $ensuremath{beta}$ using fluctuation analysis in experimental measurements that were not dedicated for this purpose. An open-source code for the implementation of fluctuation-derived $ensuremath{beta}$ estimation is provided, with an analysis of possible future experimental opportunities using dedicated experiments." @default.
• W3188804531 created "2021-08-16" @default.
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• W3188804531 date "2021-08-04" @default.
• W3188804531 modified "2023-09-24" @default.
• W3188804531 title "Statistical Analysis of Field-Emission Currents" @default.
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• W3188804531 doi "https://doi.org/10.1103/physrevapplied.16.024007" @default.
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