PESCA is a self-consistent electrostatic model for semiconductors in devices whose accuracy is controlled by the small ratio κ = C_g/C_q ≈ 1%.
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Maps the quantum-electrostatic self-consistency problem to a non-linear Helmholtz equation, enabling construction of a convex functional for provable convergence that lifts to the exact solution in typically one or two iterations.
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Electrostatics in semiconducting devices I : The Pure Electrostatics Self Consistent Approximation
PESCA is a self-consistent electrostatic model for semiconductors in devices whose accuracy is controlled by the small ratio κ = C_g/C_q ≈ 1%.
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Electrostatics in semiconducting devices II: Solving the Helmholtz equation
Maps the quantum-electrostatic self-consistency problem to a non-linear Helmholtz equation, enabling construction of a convex functional for provable convergence that lifts to the exact solution in typically one or two iterations.