NNSE 618
Lecture #21a
1
Lecture
contents
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SimWindows
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Electrostatics
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Currents

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NNSE 618
Lecture #21a
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1D device simulator developed Dave Winston at the University of Colorado, Boulder
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Usually three variables and three equations and boundary conditions are needed to solve self-
consistently carrier densities and potentials
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It also considers the density of states in quantum wells and 1D optics (for VCSELs)
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Variables chosen here are:
Equations are:
SimWindows
2

NNSE 618
Lecture #21a
3
Steady state rate (continuity) equations (time derivatives are zero) :
Drift-diffusion currents
SimWindows: currents
From Sze, 1981

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NNSE 618
Lecture #21a
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General equation for current
With transmission coefficient
SimWindows: thermionic and tunneling currents