Francisco Javier Plascencia Jauregui
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Agustín Santiago Medina Vazquez
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Edwin Christian Becerra Alvarez
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José Manuel Arce Zavala
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Sandra Fabiola Flores Ruiz
Purpose
This study aims to present a mathematical method based on Poisson’s equation to calculate the voltage and volume charge density formed in the substrate under the floating gate area of a multiple-input floating-gate metal-oxide semiconductor metal-oxide semiconductor (MOS) transistor.
Design/methodology/approach
Based on this method, the authors calculate electric fields and electric potentials from the charges generated when voltages are applied to the control gates (CG). This technique allows us to consider cases when the floating gate has any trapped charge generated during the manufacturing process. Moreover, the authors introduce a mathematical function to describe the potential behavior through the substrate. From the resultant electric field, the authors compute the volume charge density at different depths.
Findings
The authors generate some three-dimensional graphics to show the volume charge density behavior, which allows us to predict regions in which the volume charge density tends to increase. This will be determined by the voltages on terminals, which reveal the relationship between CG and volume charge density and will allow us to analyze some superior-order phenomena.
Originality/value
The procedure presented here and based on coordinates has not been reported before, and it is an aid to generate a model of the device and to build simulation tools in an analog design environment.
About the choice of methods for solving Poisson's equation in the general case of the distribution of the volume charge density and about the formulation of boundary conditions in electrokinetic problems (review)
