Log-normal Work Function Distribution Vs. Gaussian Work Function Distribution
by Distributed WorkJanuary 27th, 2025
Too Long; Didn't Read
The research considered the role of Log-normal distribution and Gaussian work function distribution.
Authors:
(1) Nandan Pakhira, Department of Physics, Kazi Nazrul University, Asansol, West Bengal 713340, India;
(2) Rajib Mahato, Department of Physics, Kazi Nazrul University, Asansol, West Bengal 713340, India and Central Electronics Engineering Research Institute, Pilani, Rajasthan 333031, India.
Table of Links
III. Work Function Distribution
IV. Results
A. Gaussian work function distribution
B. Log-normal work function distribution
V. Conclusion, Acknowledgements, and References
B. Log-normal work function distribution
Next we consider log-normal distribution for the work function. In Fig. 8 we show the histogram plot of the work function, sampled over log-normal distribution for four choice of median work function M ≡ e µ = 3.0, 3.5, 4.0 and 4.5 eV with σ = 0.05. From this plot we can see that our choice of random variables for Φ are well sampled over the log-normal distribution.
1. Case with Φ ≪ EF
2. Case with Φ ≫ EF
V. CONCLUSIONS
Acknowledgements
We would like to thank Nei Lopes, Arghya Taraphder for many valuable discussions. One of us (N. P) would like to thank IIT, Kharagpur for local hospitality where part of the work was done. One of us (R. M) would like to thank Cetral Electronics Engineering Research Institute, Pilani for providing local hospitality and research support where part of the work was done.
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