https://doi.org/10.1140/epjd/s10053-022-00582-5
Regular Article – Clusters and Nanostructures
Field emission in an array of homogeneous identical nanometer-long nanotubes
Snezhinsk Physics and Technology Institute, National Research Nuclear University Moscow Engineering Physics Institute, 456776, Snezhinsk, Chelyabinsk Region, Russia
Received:
27
July
2022
Accepted:
12
December
2022
Published online:
11
January
2023
We consider the problem of field emission based on carbon nanotubes. The length of these nanotubes differs from several nanometers to several hundreds of nanometers. We obtain the particle transmission function, considering the difference of potentials on the ends of nanotubes to be 
. Basing on the transmission function we calculate emission current. We establish the dependence of the Nordheim function on the length of nanotubes. The limiting transition is considered for the transmission coefficient for field emission from the cathode surface in the absence of nanotubes on it. We establish the linear dependence of current I on the field strength W and the linear dependence of function 
on the inverse value of field strength 1/W. Qualitative matching to experimental results of emission current is obtained when the voltage was kept less than the threshold value of 260 V and the distance between cathode and anode was kept constant, 
.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
