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Generalization to Systems with Open Boundaries

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Book cover Theory of Semiconductor Quantum Devices

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Abstract

In this chapter we shall discuss how to extend the density-matrix approach previously introduced to quantum systems with open spatial boundaries, which corresponds to the case of a generic quantum device inserted into an electric circuit.

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References

  1. Handbook of Semiconductor Nanostructures and Nanodevices, vols. 1–5, ed. by A.A. Balandin, K.L. Wang (American Scientific Publishers, Los Angeles, CA, 2005)

    Google Scholar 

  2. C. Cercignani, The Boltzmann Equation and Its Applications (Springer, New York, NY, 1987)

    Google Scholar 

  3. R. Proietti Zaccaria, F. Rossi, Phys. Rev. B 67, 113311 (2003)

    Article  Google Scholar 

  4. W.R. Frensley, Rev. Mod. Phys. 62, 745 (1990)

    Article  Google Scholar 

  5. J. Shah, Ultrafast Spectroscopy of Semiconductors and Semiconductor Nanostructures, 2nd edn. (Springer, Berlin Heidelberg, 1999)

    Google Scholar 

  6. F. Rossi, T. Kuhn, Rev. Mod. Phys. 74, 895 (2002)

    Article  CAS  Google Scholar 

  7. O. Hess, T. Kuhn, Phys. Rev. A 54, 3347 (1996)

    Article  CAS  Google Scholar 

  8. M. Toda, R. Kubo, N. Saito, Statistical Physics I: Equilibrium Statistical Mechanics, 2nd edn. (Springer, Berlin Heidelberg, 1998)

    Google Scholar 

  9. M. Pascoli, P. Bordone, R. Brunetti, C. Jacoboni, Phys. Rev. B 58, 3503 (1998)

    Article  CAS  Google Scholar 

  10. R.C. Iotti, E. Ciancio, F. Rossi, Phys. Rev. B 72, 125347 (2005)

    Article  Google Scholar 

  11. G.H. Wannier, Rev. Mod. Phys. 34, 645 (1962)

    Article  Google Scholar 

  12. F. Rossi, A. Di Carlo, P. Lugli, Phys. Rev. Lett. 80, 3348 (1998)

    Article  CAS  Google Scholar 

  13. M.V. Fischetti, Phys. Rev. B 59, 4901 (1999)

    Article  CAS  Google Scholar 

  14. A. Di Carlo, P. Vogl, W. Pötz, Phys. Rev. B 50, 8358 (1994)

    Article  Google Scholar 

  15. W.R. Frensley, Phys. Rev. Lett. 57, 2853 (1986)

    Article  CAS  Google Scholar 

  16. W.R. Frensley, Phys. Rev. B 36, 1570 (1987)

    Article  Google Scholar 

  17. A.M. Kriman, N.C. Kluksdahl, D.K. Ferry, Phys. Rev. B 36, 5953 (1987)

    Article  Google Scholar 

  18. N.C. Kluksdahl, A.M. Kriman, D.K. Ferry, C. Ringhofer, Phys. Rev. B 39, 7720 (1989)

    Article  Google Scholar 

  19. F.A. Buot, K.L. Jensen, Phys. Rev. B 42, 9429 (1990)

    Article  Google Scholar 

  20. D.R. Miller, D.P. Neikirk, Appl. Phys. Lett. 58, 2803 (1991)

    Article  CAS  Google Scholar 

  21. M.J. McLennan, Y. Lee, S. Datta, Phys. Rev. B 43, 13846 (1991)

    Article  Google Scholar 

  22. H.C. Tso, N.J. Horing, Phys. Rev. B 44, 11358 (1991)

    Article  Google Scholar 

  23. D.K. Ferry, J.-R. Zhou, Phys. Rev. B 48, 7944 (1993)

    Article  CAS  Google Scholar 

  24. K.K. Gullapalli, D.R. Miller, D.P. Neikirk, Phys. Rev. B 49, 2622 (1994)

    Article  CAS  Google Scholar 

  25. C.L. Fernando, W.R. Frensley, Phys. Rev. B 52, 5092 (1995)

    Article  CAS  Google Scholar 

  26. K.-Y. Kim, B. Lee, Phys. Rev. B 64, 115304 (2001)

    Article  Google Scholar 

  27. M. Nedjalkov et al., Phys. Rev. B 70, 115319 (2004)

    Article  Google Scholar 

  28. M. Nedjalkov et al., Phys. Rev. B 74, 035311 (2006)

    Article  Google Scholar 

  29. D. Querlioz, J. Saint-Martin, A. Bournel, P. Dollfus, Phys. Rev. B 78, 165306 (2008)

    Article  Google Scholar 

  30. D. Taj, L. Genovese, F. Rossi, Europhys. Lett. 74, 1060 (2006)

    Article  CAS  Google Scholar 

  31. R.P. Feynman, A.R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, NY, 1965)

    Google Scholar 

  32. D. Taj, F. Rossi, Phys. Stat. Sol. C 5, 66 (2008)

    Article  CAS  Google Scholar 

  33. R. Proietti Zaccaria, R.C. Iotti, F. Rossi, Appl. Phys. Lett. 84, 139 (2004)

    Article  Google Scholar 

  34. R. Proietti Zaccaria, E. Ciancio, R.C. Iotti, F. Rossi, Phys. Rev. B 70, 195311 (2004)

    Article  Google Scholar 

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Correspondence to Fausto Rossi .

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Rossi, F. (2011). Generalization to Systems with Open Boundaries. In: Theory of Semiconductor Quantum Devices. NanoScience and Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10556-2_4

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