Abstract
By using a scale transformation, we obtain hydrodynamic equations in the quasiclassical approximation from the two-band Schrodinger equation.
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REFERENCES
N. C. Kluksdahl, A. M. Kriman, D. K. Ferry, and C. Ringhofer, “Self-consistent study of the resonant-tunneling diode,” Phys. Rev. B, 39, No11, 7720–7735 (1989).
M. Sweeney and J. M. Xu, “Resonant interband tunnel diodes,” Appl. Phys. Lett., 54, No6, 546–548 (1989).
R. Q. Yang, M. Sweeny, D. Day, and J. M. Xu, “Interband tunneling in heterostructure tunnel diodes,” IEEE Trans. Electron Devices., 38, No3, 442–446 (1991).
L. Barletti, “Wigner envelope functions for electron transport in semiconductor devices,” Transp. Theory Statist. Phys., 32, No.3–4, 253–277 (2003).
G. Borgioli, G. Frosali, and P. F. Zweifel, “Wigner approach to the two-band Kane model for a tunneling diode,” Transp. Theory Statist. Phys., 32, No.3–4, 347–366.
L. Demeio, L. Barletti, A. Bertoni, P. Bordone, and C. Jacoboni, “Wigner function approach to multiband transport in semiconductors,” Physica B, 314, 104–107 (2002).
L. Demeio, P. Bordone, and C. Jacoboni, “Numerical simulation of an intervalley transition by the Wigner-function approach,” Semiconductor Sci. Technol., 19,1–3 (2004).
M. Modugno and O. Morandi, A Multiband Envelope Function Model for Quantum Transport in a Tunneling Diode, Preprint (2004).
E. O. Kane, “Energy band structure in p-type Germanium and Silicon,” J. Phys. Chem. Solids, 1, 82–89 (1956).
E. O. Kane, “The k⋅p method,” in: R. K. Willardson and A. C. Bear (editors), Semiconductors and Semimetals, Vol. 1, Academic Press, New York (1966), pp. 75–100.
W. T. Wenckebach, Essentials of Semiconductor Physics, Wiley, Chichester (1999).
C. Y. Chao and S. L. Chuang, “Resonant tunneling of holes in the multiband effective-mass approximation,” Phys. Rev. B, 43, 7027–7039 (1991).
I. Gasser and P. Markowich, “Quantum hydrodynamics, Wigner transforms and the classical limit,” Asymptotic Analysis, 14, 97-116 (1997).
A. Jungel, Quasi-Hydrodynamic Semiconductor Equations, Birkhauser, Basel (2001).
G. Ali and G. Frosali, “On quantum hydrodynamic models for the two-band Kane system” (submitted).
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Published in Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 6, pp. 723–730, June, 2005.
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Ali, G., Frosali, G. & Manzini, C. On the Drift-Diffusion Model for a Two-Band Quantum Fluid at Zero Temperature. Ukr Math J 57, 859–868 (2005). https://doi.org/10.1007/s11253-005-0234-3
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DOI: https://doi.org/10.1007/s11253-005-0234-3