Advertisement

Energy Band Structures of Semiconductors

  • Chihiro Hamaguchi

Abstract

It is well known that the physical properties of semiconductors are understood with the help of energy band structures. The energy states or energy band structures of electrons in crystals reflect the periodic potential of the crystals and they can be calculated when we know the exact shape and the magnitude of the crystal potentials. The shape and the magnitude of the potential are not determined directly from any experimental methods, and thus we have to calculate or estimate the energy bands by using the assumed potentials. Many different approaches to calculations of energy bands have been reported, but in this textbook we will deal with several methods, which are not so difficult to understand. We begin with the most simplified method to calculate electronic states in a model crystal.

Keywords

Energy Band Brillouin Zone Fourier Coefficient Conduction Band Minimum Energy Band Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

The following references review the energy band structures and optical properties of semiconductors in detail and give a good introduction to semiconductor physics

  1. 1.1
    C. Kittel: Introduction to Solid State Physics, 7th edn. (John Wiley, New York, 1996)Google Scholar
  2. 1.2
    C. Kittel: Quantum Theory of Solids (John Wiley, New York, 1963)Google Scholar
  3. 1.3
    J. Callaway: Quantum Theory of the Solid State, 2 vols. (Academic Press, New York, 1974)Google Scholar
  4. 1.4
    W.A. Harrison: Electronic Structure and the Properties of Solids; The Physics of the Chemical Bond (W.H. Freeman, San Francisco, 1980)Google Scholar
  5. 1.5
    M. Cardona: Optical Properties and Band Structure ot Germanium and Zincblende-Type Semiconductors, In Proc. Int. School of Physics «Enrico Fermi», (Academic Press, New York, 1972) pp. 514–580Google Scholar

The following references will help readers to understand Chap. 1

  1. 1.6
    F. Bassani and G. Pastori Parravicini: Electronic States and Optical Transitions in Solids (Pergamon Press, New York, 1975)Google Scholar
  2. 1.7
    P. Yu and M. Cardona: Fundamentals of Semiconductors (Springer, Heidelberg, 1996)Google Scholar
  3. 1.8
    M.L. Cohen and T.K. Bergstresser: Phys. Rev. 141 (1966) 789CrossRefGoogle Scholar
  4. 1.9
    J.R. Chelikowsky and M.L. Cohen: Phys. Rev. B10 (1974) 5095CrossRefGoogle Scholar
  5. 1.10
    D. Brust: Phys. Rev. A134 (1964) 1337CrossRefGoogle Scholar
  6. 1.11
    E.O. Kane: J. Phys. Chem. Solids, 1 (1956) 82CrossRefGoogle Scholar
  7. 1.12
    L.P. Buckaert, R. Smoluchowski and E. Wigner: Phys. Rev. 50 (1936) 58CrossRefGoogle Scholar
  8. 1.13
    G. Dresselhaus, A.F. Kip and C. Kittel: Phys. Rev. 98 (1955) 368CrossRefGoogle Scholar
  9. 1.14
    M. Cardona and F.H. Pollak: Phys. Rev. 142 (1966) 530CrossRefGoogle Scholar
  10. 1.15
    G.F. Koster, J.O. Dimmock, R.G. Wheeler and H. Statz: Properties of The Thirty-Two Point Groups (M.I.T. Press, Cambridge, MA, 1963)Google Scholar

The following references are cited in the text

  1. 1.16
    P.O. Löwdin: J. Chem. Phys., 19 (1951) 1396CrossRefGoogle Scholar
  2. 1.17
    F.H. Pollak, C.W. Higginbotham and M. Cardona: J. Phys. Soc. Jpn. 21, Supplement (1966) 20Google Scholar
  3. 1.18
    H. Hazama, Y. Itoh and C. Hamaguchi: J. Phys. Soc. Jpn. 54 (1985) 269CrossRefGoogle Scholar
  4. 1.19
    T. Nakashima, C. Hamaguchi, J. Komeno and M. Ozeki: J. Phys. Soc. Jpn. 54 (1985) 725CrossRefGoogle Scholar
  5. 1.20
    H. Hazama, T. Sugimasa, T. Imachi and C. Hamaguchi: J. Phys. Soc. Jpn. 55 (1986) 1282CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Chihiro Hamaguchi
    • 1
  1. 1.Graduated School of Engineering, Department of Electronic EngineeringOsaka UniversitySuita City, OsakaJapan

Personalised recommendations