Broyden method for the self-consistent solution of Schrodinger and Poisson equations
| Autor: | Yang Wenwei, Xiang Cailan, Tian Lilin, Sun Lin, Yu Zhiping |
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| Rok vydání: | 2005 |
| Předmět: |
Laplace's equation
Mathematical optimization Partial differential equation Differential equation Broyden's method Computer Science::Numerical Analysis Nonlinear system symbols.namesake Uniqueness theorem for Poisson's equation symbols Applied mathematics Poisson's equation Newton's method Mathematics |
| Zdroj: | 2005 6th International Conference on ASIC. |
| Popis: | With scaling down of semiconductor devices, it's more important to simulate their characteristics by solving the Schrodinger and Poisson equations self-consistently. It is necessary to introduce new method to accelerate the convergence of nonlinear equations system. In this paper, the Broyden method, which has been used in nonlinear systems, is described. We solved 1D semiconductor quantum line self-consistently and got the result of electron density and electric potential, separately using the Broyden method and the SOR method (Newton method). Compared with SOR method, the Broyden method can get the right result and use less iteration steps |
| Databáze: | OpenAIRE |
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