Abstract
In this chapter we shall introduce basic concepts as well as key instruments related to the numerical modeling of semiconductor nanomaterials and nanodevices. The large variety of available numerical instruments may be subdivided into two major classes: (i) deterministic techniques and (ii) stochastic approaches. As we shall see, while the former are based on deterministic discretization algorithms, the latter are strongly linked to the use of random numbers. As anticipated in Sect. 2.6, the proper choice of the optimal modeling technique depends strongly on the problem under examination, i.e., semiclassical versus quantum-mechanical regimes described via phenomenological versus microscopic treatments (see Fig. 2.9); it follows that for specific problems, a proper combination of deterministic and stochastic algorithms is also required (see Sect. 5.3).
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Rossi, F. (2011). Simulation Strategies. In: Theory of Semiconductor Quantum Devices. NanoScience and Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10556-2_5
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