Wigner Paths for Quantum Transport


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.

This is a preview of subscription content, log in to check access.


  1. Bertoni A., Bordone P., Brunetti R., and Jacoboni C. 1999. J. Phys.: Condens. Matter 11: 5999.

    Google Scholar 

  2. Brunetti R., Jacoboni C., and Rossi F. 1989. Phys. Rev. B 39: 10781.

    Google Scholar 

  3. Jacoboni C., Brunetti R., Bordone P., and Bertoni A. 2001. In Topics in High Field Transport in Semiconductors, edited by Brennan K. and Ruden P.P. World Scientific Publishing Company, Singapore, p. 25.

    Google Scholar 

  4. Lozovik Y.E. and Filinov A.V. 1999. JEPT 88: 1026.

    Google Scholar 

  5. Menziani P., Rossi F., and Jacoboni C. 1989. Solid-State Electronis 32: 1807.

    Google Scholar 

  6. Pascoli M., Bordone P., Brunetti R., and Jacoboni C. 1998. Phys. Rev. B58: 3503.

    Google Scholar 

  7. Rossi F. and Jacoboni C. 1992. Europhys. Lett. 18: 169.

    Google Scholar 

  8. Rossi F., Jacoboni C., and Nedjalkov M. 1994. Semicond. Sci. and Technol. 9: 934.

    Google Scholar 

  9. Rossi F., Poli P., and Jacoboni C. 1992. Semicond. Sci. Technol. 7: 1017.

    Google Scholar 

Download references

Author information



Rights and permissions

Reprints and Permissions

About this article

Cite this article

Bordone, P., Jacoboni, C. Wigner Paths for Quantum Transport. Journal of Computational Electronics 1, 67–73 (2002). https://doi.org/10.1023/A:1020715827744

Download citation

  • Wigner paths
  • quantum transport
  • Monte Carlo
  • mesoscopic systems