Steady states and interface transmission conditions for heterogeneous quantum-classical 1-D hydrodynamic model of semiconductor devices
The authors present a hybrid 1D quantum-classical transport model for semiconductors. In particular, they derive transmission conditions at the classical quantum interface. These conditions are derived under the assumptions that the scaled temperature of the device is constant and that there is a current jump at the interface. Heuristic explanations of the latter assumption are given on the base of the energy conservation. Because of the assumption on the current, solutions to the coupled systems of equations (classical and quantum) are piecewise smooth in the whole 1D space domain. Existence of solutions is proved and a simple linear stability analysis of the hybrid problem is proposed. Numerical simulations of a simple device are presented.
scientific article; zbMATH DE number 6138867