How to calculate the degeneracy of an energy band?

Click For Summary
SUMMARY

The discussion focuses on calculating the degeneracy of energy bands using group theory, specifically for the valence bands of silicon (Si) and germanium (Ge) at the Gamma point. Participants reference the need for a comprehensive guide and suggest that existing resources may not adequately utilize group theory for generalization. Tinkham's text is recommended as a reliable source for understanding these concepts in depth.

PREREQUISITES
  • Understanding of group theory principles
  • Familiarity with energy band theory in solid-state physics
  • Knowledge of the valence band structure of silicon and germanium
  • Basic concepts of quantum mechanics related to periodic systems
NEXT STEPS
  • Study Tinkham's "Group Theory and Quantum Mechanics" for foundational knowledge
  • Research the specific energy band structures of silicon and germanium
  • Explore methods for calculating degeneracy in periodic quantum systems
  • Learn about the application of group theory in solid-state physics
USEFUL FOR

Physicists, materials scientists, and students interested in solid-state physics, particularly those focusing on energy band calculations and group theory applications.

howl
Messages
15
Reaction score
1
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!
 
Physics news on Phys.org
Any group theory text will have it, Tinkham is one that comes to mind immediately.
 

Similar threads

Graduate Carrier relaxation within a quantum well
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Band theory and qualitative character of bands
  • · Replies 4 ·
Replies
4
Views
3K
Graduate How do acceptor energy levels form in p-doped semiconductors?
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Band structure after compensation doping
  • · Replies 1 ·
Replies
1
Views
3K
High School What Does Not Allowed in Quantum Theory Mean Regarding Band Gaps?
  • · Replies 1 ·
Replies
1
Views
4K
Electron Bands in 2D Semiconductor
  • · Replies 0 ·
Replies
0
Views
2K
Graduate Criticality, phase transitions and closing bandgap
  • · Replies 6 ·
Replies
6
Views
3K
Graduate How choose k-points for 5*5*4 slab for band gap calculations
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Mastering DFT: Calculating Band Structures for Heterostructures
  • · Replies 2 ·
Replies
2
Views
4K
Graduate How Can We Calculate Band Bending Using Schrödinger-Poisson Theory?
  • · Replies 3 ·
Replies
3
Views
2K