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
IV. RESULTS
In this section we show our results for current density averaged over two choice of probability distributions as have been discussed in the previous section.
A. Gaussian work function distribution
We first consider the case of Gaussian distribution for the work function. In Fig. 1 we show the histogram plot of the work function, sampled over Gaussian distribution for four choices of bulk work function Φ0 = 3.0, 3.5, 4.0 and 4.5 eV with σ = 0.05. In each case we also fit the histogram plot to Gaussian distribution. From this fit we can see that our choice of random variables for Φ are well sampled over Gaussian distribution.
1. Case with Φ ≪ EF
2. Case with Φ ≫ EF
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