Roberto Rosati, Fabrizio Dolcini, Rita Claudia Iotti, Fausto Rossi
The Wigner-function formalism is a widely used approach to model charge transport in semiconductor nanodevices. Primary goal of the present Paper is to point out and explain intrinsic limitations of the conventional quantum-device modeling based on such Wigner-function paradigm, providing a definite answer to open questions related to the application of the conventional spatial boundary condition scheme to the Wigner transport equation. Our analysis shows that (i) in the presence of a symmetric device potential the solution of the Wigner equation (compatible with given boundary conditions) is not unique, and (ii) also when the solution is unique, the latter is not necessarily a physical Wigner function, i.e., the Weyl-Wigner transform of a single-particle density matrix.
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http://arxiv.org/abs/1302.2750
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