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Résumé
We test the consistency with which Simmons’ model can predict the local current density obtained for flat metalvacuummetal junctions. The image potential energy used in Simmons’ original papers had a missing factor of 1/2. Beside this technical issue, Simmons’ model relies on a meanbarrier approximation for electron transmission through the potentialenergy barrier between the metals. In order to test Simmons’ expression for the local current density when the correct image potential energy is included, we compare the results of this expression with those provided by a transfermatrix technique. We also consider the current densities provided by a numerical integration of the transmission probability obtained with the WKB approximation and Simmons’ meanbarrier approximation. The comparison between these different models shows that Simmons’ expression for the local current density actually provides results that are in good agreement with those provided by the transfermatrix technique, for a range of conditions of practical interest. We show that Simmons’ model provides good results in the linear and fieldemission regimes of current density versus voltage plots. It loses its applicability when the top of the potentialenergy barrier drops below the Fermi level of the emitting metal.
langue originale  Anglais 

Pages (de  à)  6377 
Nombre de pages  15 
journal  Jordan Journal of Physics 
Volume  12 
Numéro de publication  1 
Etat de la publication  Publié  1 janv. 2019 
motsclés
 electronic field emission
 transfer matrix
 theory
 junction
 electronic transport
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CÉCI – Consortium des Équipements de Calcul Intensif
CHAMPAGNE, B., Lazzaroni, R., Geuzaine , C., Chatelain, P. & Knaepen, B.
1/01/18 → 31/12/22
Projet: Recherche
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Plateforme Technologique Calcul Intensif
Benoît Champagne (!!Manager)
Plateforme technologique Calcul intensifEquipement/installations: Plateforme technolgique