Monte Carlo Simulation of Single Electronics Based on Orthodox Theory

Elabd, Ali A.; Shalaby, Abdel-Aziz T.; El‐Rabaie, El‐Sayed M.

doi:10.11591/ij-nano.v1i2.1518

Cited by 6 publications

(2 citation statements)

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“…[10][11][12][13][14] So the switching speed or more specifically the delay analysis of these devices needs to be studied extensively for proper designing of practical integrated circuits. There are few assumptions to be taken care of while using Poisson process, 16 1) This process does not possess any memory so the tunneling events are independent of each other. The orthodox theory 15 of single electron tunneling describes the tunnel rate for a single electron tunneling through a barrier, but it does not say anything about the calculation of tunnel rate for many electron tunneling.…”

Section: Introductionmentioning

confidence: 99%

“…Further involving few assumptions, this process will closely relate to the Poisson distribution which is being used in the Monte Carlo method and by many researchers to solve master equations in single electronics circuits. There are few assumptions to be taken care of while using Poisson process, 16 1) This process does not possess any memory so the tunneling events are independent of each other.…”

Section: Introductionmentioning

confidence: 99%

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Error probability independent delay analysis of single electronics circuits

Jain

Ghosh²,

Dutta

et al. 2017

Circuit Theory & Apps

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This study based on Poisson process and orthodox theory of single electron tunneling for the first time proposes an error probability independent delay model for delay calculation of single electronics circuits, involving multiple tunneling events. The Poisson process assumes that the tunneling events are independent of each other, but in real single electronics circuits they are correlated through space and time, so this effect has been considered and included in the proposed model. The dependence of tunneling rates on the logic transition is thoroughly investigated. Finally, the model is applied to different logic gates, and the result is compared with the well known Monte Carlo approach to prove the accuracy of the proposed model.

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