Methods for Calculating the Band Structure

  • Eleftherios N. EconomouEmail author
Part of the Graduate Texts in Physics book series (GTP)


The concept of pseudopotential is presented. It is almost equivalent to the actual potential but without its strong singularity. The absence of singularity allows the solution to Schrödinger’s equation as a weighted sum of plane waves. Degenerate perturbation theory simplifies further the problem. Other methods for solving Schrödinger’s equation in periodic media, such as the so–called APW, KKR, and the k · p methods are briefly presented.


Band Structure Reciprocal Lattice Band Structure Calculation Light Hole Ionic Core 
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Further Reading

  1. N. W. Ashcroft & N. D. Mermin [SS75], pp. 193–210. (For methods of band structure calculations).Google Scholar
  2. P. Y. Yu & M. Cardona [Se119], pp. 68–82. (For the k · p method).Google Scholar
  3. W. A. Harrison [SS76], pp. 360–363. (For pseudopotentials).Google Scholar
  4. M. P. Marder [SS82], pp. 230–236. (For pseudopotentials).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Foundation for Research and Technology-Hellas (FORTH) Department of PhysicsUniversity of CreteHeraklionGreece

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