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Analysis of the Reformulated Source to Drain Tunneling Probability for Improving the Accuracy of a Multisubband Ensemble Monte Carlo Simulator. | LitMetric

Analysis of the Reformulated Source to Drain Tunneling Probability for Improving the Accuracy of a Multisubband Ensemble Monte Carlo Simulator.

Micromachines (Basel)

Nanoelectronics Research Group, Departamento de Electrónica y Tecnología de Computadores, Universidad de Granada, 18071 Granada, Spain.

Published: March 2022

AI Article Synopsis

  • A new non-local formula has been proposed to better describe tunneling current in nanoscale electronic devices, aiming to enhance accuracy over traditional methods like the WKB approximation.
  • This more precise computation may be especially beneficial for Monte Carlo simulations, which typically overestimate tunneling occurrences.
  • The study highlights that for the new tunneling probability to work effectively, the potential barrier must not have a plateau at the top and should be quadratic, while also emphasizing the need for additional constraints on the prefactor to ensure proper behavior.

Article Abstract

As an attempt to improve the description of the tunneling current that arises in ultrascaled nanoelectronic devices when charge carriers succeed in traversing the potential barrier between source and drain, an alternative and more accurate non-local formulation of the tunneling probability was suggested. This improvement of the probability computation might result of particular interest in the context of Monte Carlo simulations where the utilization of the conventional Wentzel-Kramers-Brillouin (WKB) approximation tends to overestimate the number of particles experiencing this type of direct tunneling. However, in light of the reformulated expression for the tunneling probability, it becomes of paramount importance to assess the type of potentials for which it behaves adequately. We demonstrate that, for ensuring boundedness, the top of the potential barrier cannot feature a plateau, but rather has to behave quadratically as one approaches its maximum. Moreover, we show that monotonicity of the reformulated tunneling probability is not guaranteed by boundedness and requires an additional constraint regarding the derivative of the prefactor that modifies the traditional WKB tunneling probability.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC9026498PMC
http://dx.doi.org/10.3390/mi13040533DOI Listing

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