How to calculate the degeneracy of an energy band?

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Discussion Overview

The discussion focuses on calculating the degeneracy of energy bands using group theory, specifically in the context of the valence band of silicon (Si) and germanium (Ge) at the Gamma point. Participants seek guidance on methodologies and resources related to this topic.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant requests a guide for calculating the degeneracy of energy bands using group theory, specifically mentioning Si and Ge.
  • Another participant shares a link to a resource but notes that it does not utilize group theory and may not be easily generalizable.
  • A third participant reiterates the same link, emphasizing the lack of group theory application.
  • Another participant suggests that any group theory text would contain the relevant information, specifically mentioning Tinkham's work as a potential resource.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the best approach or resource for calculating degeneracy using group theory, with multiple perspectives and resources being discussed.

Contextual Notes

The discussion does not clarify specific assumptions or definitions related to group theory or degeneracy, and the applicability of the shared resource remains uncertain.

howl
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Could somebody write the guide for calculate the degeneracy of energy band by group theory? For instance, the valence band of Si and Ge in Gamma point. Thanks a lot!
 
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Any group theory text will have it, Tinkham is one that comes to mind immediately.
 

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