A Monte Carlo algorithm based on the concept of Wigner paths has been developed to study quantum transport in mesoscopic systems in strict analogy with the traditional Monte Carlo simulation used to solve the Boltzmann transport equation. Scatterings with both phonons and impurities can be accounted for. As regards a structure potential profile the effect of the corresponding classical force can be inserted in the dynamics of the free flight, while quantum effects due to rapid potential variations are included as a special scattering mechanism.
Wigner Paths for Quantum Transport / Bordone, Paolo; Jacoboni, Carlo. - In: JOURNAL OF COMPUTATIONAL ELECTRONICS. - ISSN 1569-8025. - STAMPA. - 1:(2002), pp. 67-73. [10.1023/A:1020715827744]