Abstract
We present a new generalized Ramo‐Shockley theorem (GRST) to evaluate contact currents, applicable to classical moment‐based simulation techniques, as well as semiclassical Monte Carlo and quantum mechanical transport simulation, which remains valid for inhomogeneous media, explicitly accounts for generation/recombination processes, and clearly distinguishes between electron, hole, and displacement current contributions to contact current. We then show how this formalism may be applied to Monte Carlo simulation to obtain equations for minimum‐variance estimators of steady‐state contact current, making use of information gathered from all particles within the device. Finally, by means of an example, we demonstrate this technique’s performance in acceleration of convergence time.
Highlights
Such that all contacts are grounded with the exception of contact k, which is set to Volt
Through application of the method of Green functions in the quasi-electrostatic approximation, Shockley and Ramo [2] introduced the original domain integration formula relating the currents induced on an arbitrary number of contacts to the motion of charges in multiple dimensions
Where the index k indicates the contact at which the current is to be evaluated, qj and vj represent particle charge and velocity, respectively, and the index j runs over all particles within the volume
Summary
THE RAMO-SHOCKLEY THEOREM such that all contacts are grounded with the exception of contact k, which is set to Volt. Through application of the method of Green functions in the quasi-electrostatic approximation, Shockley and Ramo [2] introduced the original domain integration formula relating the currents induced on an arbitrary number of contacts to the motion of charges in multiple dimensions. J where the index k indicates the contact at which the current is to be evaluated, qj and vj represent particle charge and velocity, respectively, and the index j runs over all particles within the volume. The symbol E)k) denotes the electric field at the position of particle j which would result if all charges were removed from the volume, and boundary conditions were imposed
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