Abstract
We compare the well-known Kane model with a new multiband envelope function model, which presents many advantages with respect to the first one.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
N. W. Ashcroft and N. D. Mermin, Solid State Physics, Harcourt Brace College Publ., Forth Worth (1976).
W. T. Wenckebach, Essentials of Semiconductor Physics, Wiley, Chichester (1999).
M. Sweeney and J. M. Xu, “Resonant interband tunnel diodes,” Appl. Phys. Lett., 54, No.6, 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, No.3, 442–446 (1991).
S. R. White and L. J. Sham, “Electronic properties of flat-band semiconductor heterostructures,” Phys. Rev. Lett., 47, No.12, 879–882 (1981).
N. C. Kluksdahl, A. M. Kriman, D. K. Ferry, and C. Ringhofer, “Self-consistent study of the resonant-tunneling diode,” Phys. Rev. B, 39, No.11, 7720–7735 (1989).
E. O. Kane, “Energy band structure in p-type Germanium and Silicon,” J. Phys. Chem. Solids, 1, 82–89 (1956).
E. O. Kane, “Zener tunneling in semiconductors,” J. Phys. Chem. Solids, 12, 181–188 (1959).
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.
M. G. Burt, “The justification for applying the effective-mass approximation to microstructure,” J. Phys: Condens. Matt., 4, 6651–6690 (1992).
G. Borgioli, G. Frosali, and P. Zweifel, “Wigner approach to the two-band Kane model for a tunneling diode,” Transp. Theory Statist. Phys., 32, No.3–4, 347–366 (2003).
J. Kefi, Analyse Mathematique et Numerique de Modeles Quantiques Pour Les Semiconducteurs, PhD Thesis, Paul Sabatier, Universite Toulouse III (2003).
L. Barletti and L. Demeio, “Wigner-function approach to multi-band transport in semiconductor devices,” Proc. VI Congr. Naz. SIMAI, Chia Laguna (Cagliari, Italy), May, 27–31, 2002 (CD-rom).
J. M. Luttinger and W. Kohn, “Motion of electrons and holes in perturbed periodic fields,” Phys. Rev., 97, 869–883 (1955).
O. Morandi and M. Modugno, A Multi-Band Envelope Function Model for Quantum Transport in a Tunneling Diode, Preprint.
Author information
Authors and Affiliations
Additional information
__________
Published in Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 6, pp. 742–748, June, 2005.
Rights and permissions
About this article
Cite this article
Borgioli, G., Morandi, O., Frosali, G. et al. Different Approaches for Multiband Transport in Semiconductors. Ukr Math J 57, 883–890 (2005). https://doi.org/10.1007/s11253-005-0236-1
Received:
Issue Date:
DOI: https://doi.org/10.1007/s11253-005-0236-1