Application of fractional Fowler-Nordheim law on field electron emission from tungsten and lanthanum hexaboride nano-scale emitters

Al-Tabbakh, Ahmed A.; Madanat, Mazen; Mousa, Marwan S.

doi:10.1080/14786435.2023.2173366

Cited by 4 publications

(1 citation statement)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The model was derived with the assumption of a triangular barrier, ignoring the image charge effects. The fractional FN law [2] has recently been applied to the field electron emission from clean tungsten (W) nano-emitter and lanthanum hexaboride (LaB6) nano-protrusions, where experimental data could easily be reproduced at fractional parameter $\alpha = 0.875$ and $\alpha = 0.845$, respectively [42].…”

Section: Introductionmentioning

confidence: 99%

Generalized fractional Wentzel–Kramers–Brillouin approximation for electron tunnelling across rough metal interface

et al. 2023

View full text Add to dashboard Cite

The conductive rough surfaces act as an integral part of several electron devices and systems. Electron tunnelling through the potential barrier imposed by the rough metal-vacuum interface is an important mechanism of charge transport in vacuum electron devices. Here, we analytically derive a generalized current–voltage relationship with a fractional image potential barrier that considers the reduced space-dimensionality encountered by the tunnelling electrons at a rough interface, in an effective manner. The traditional Schottky–Nordhiem equation based on the Schottky image potential barrier is shown to be a limiting case of our model for a perfectly flat surface. The fractional-dimension parameter used in this model accounts for the barrier reduction due to the geometrical roughness and it can be determined by fitting our model to a given current–voltage measurement. It is shown that the application of this model could reduce the error between measured current–voltage response and theoretical estimates based on the conventional model. This work provides an analytical framework for efficient design and engineering of quantum tunnelling in practical electron devices.

show abstract

Section: Introductionmentioning

confidence: 99%

Generalized fractional Wentzel–Kramers–Brillouin approximation for electron tunnelling across rough metal interface

et al. 2023

View full text Add to dashboard Cite

show abstract

Characterization of field emission from random nano-structured surface in using fractional field emission models

Kanwal,

Raheem,

Mehmood

et al. 2024

Journal of Applied Physics

View full text Add to dashboard Cite

It is known that field emission from random nano-structured surfaces cannot be well characterized with the original field emission model known as the Fowler–Nordheim (FN) law or the Murphy–Good (MG) law. To account for the roughness effects, the traditional approach was to introduce the arbitrary field enhancement factor β in the FN and MG laws. In this paper, by treating the random roughness of field emitters as a fractional dimension object with 0<α<1, fractional models of the FN and MG law, which were formulated recently may serve as alternate characterization tools. At α=1, the models will recover the traditional FN and MG laws valid for a perfect flat planar surface. These generalized fractional FN law (FNα) and the fractional MG law (MGα) will be used to characterize various field emission experiments by finding the best 0<α<1 values to account for the degree of the random roughness. The findings will be compared among the traditional and fractional emission models, where the best-fitting results will be shown for each case. It is found that the fractional field emission models provide more physical and appropriate field emission parameters, i.e., field enhancement factor and field emission area, in comparison with traditional field emission models.

show abstract

Advantages of K-Power Plot for Experimental IVC Processing

Filippov

Kolosko

Popov

2023

2023 IEEE 36th International Vacuum Nanoelectronics Conference (IVNC)

View full text Add to dashboard Cite

Application of fractional Fowler-Nordheim law on field electron emission from tungsten and lanthanum hexaboride nano-scale emitters

Cited by 4 publications

References 19 publications

Generalized fractional Wentzel–Kramers–Brillouin approximation for electron tunnelling across rough metal interface

Generalized fractional Wentzel–Kramers–Brillouin approximation for electron tunnelling across rough metal interface

Characterization of field emission from random nano-structured surface in using fractional field emission models

Advantages of K-Power Plot for Experimental IVC Processing

Contact Info

Product

Resources

About