Effective quantum potentials describe the physics of quantum-mechanical electron transport in semiconductors more than the classical Coulomb potential. An effective quantum potential was derived previously for the interaction of an electron with a barrier for use in particle-based Monte Carlo semiconductor device simulators. The method is based on a perturbation theory around thermodynamic equilibrium and leads to an effective potential scheme in which the size of the electron depends upon its energy and which is parameter-free. Here we extend the method to electron-electron interactions and show how the effective quantum potential can be evaluated efficiently in the context of many-body problems. The effective quantum potential was used in a three-dimensional Monte-Carlo device simulator for calculating the electron-electron and electron-barrier interactions. Simulation results for an SOI transistor are presented and illustrate how the effective quantum potential changes the characteristics compared to the classical potential.
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Heitzinger, C., Ringhofer, C., Ahmed, S. et al. 3D Monte-Carlo device simulations using an effective quantum potential including electron-electron interactions. J Comput Electron 6, 15–18 (2007). https://doi.org/10.1007/s10825-006-0058-x
- Monte-Carlo simulation
- Effective quantum potential
- Electron-electron interactions