Abstract
This paper describes a numerical method for a time-dependent quantum drift-diffusion model with emphasis on adaptive time discretization. The adaptive time step algorithm is proposed by introducing the derivative of the free energy of the system. The algorithm is evaluated for carrier transport simulations in n+-n-n+ structures. The new algorithm significantly reduces the total number of time step required to reach the stationary state.
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References
M.G. Ancona and G.J. Iafrate, “Quantum correction to the equation of state of an electron gas in a semiconductor,” Phys. Rev. B, vol.39, pp.9536–9540, 1989.
M.G. Ancona, “Finite-difference schemes for the density-gradient equations,” J. Computat. Electron., vol.1, pp.435–443, 2002.
S. Odanaka, “Multidimensional Discretization of the Stationary Quantum Drift-Diffusion Model for Ultrasmall MOSFET Structures,” IEEE Trans. Computer-Aided Design of ICAS, vol.23, pp.837–842, 2004.
S. Odanaka, “A High-Resolution Method for Quantum Confinement Transport Simulations in MOSFET,” IEEE Trans. Computer-Aided Design of ICAS, vol.26, pp.80–85, 2007.
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© 2007 Springer-Verlag Wien
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Shimada, T., Odanaka, S. (2007). Adaptive Time Discretization for a Transient Quantum Drift-Diffusion Model. In: Grasser, T., Selberherr, S. (eds) Simulation of Semiconductor Processes and Devices 2007. Springer, Vienna. https://doi.org/10.1007/978-3-211-72861-1_81
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DOI: https://doi.org/10.1007/978-3-211-72861-1_81
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-72860-4
Online ISBN: 978-3-211-72861-1
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