Discontinuous at horizontal axis, U and K points, in energy

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SUMMARY

The discussion centers on the discontinuities observed in the energy band structure of FCC lattices, specifically silicon (Si) and gallium arsenide (GaAs), at the U and K points. Participants clarify that while these points exhibit discontinuities, regions such as Gamma to X and Gamma to L show continuous behavior. The discontinuity at the U and K points is attributed to the sharp bends in the k-space path, which affects the derivatives of the band structure. This insight is crucial for understanding electronic properties in solid-state physics.

PREREQUISITES
  • Understanding of energy band theory in solid-state physics
  • Familiarity with Brillouin zones and k-space
  • Knowledge of FCC lattice structures
  • Basic concepts of band structure analysis
NEXT STEPS
  • Research the implications of discontinuities in band structures for electronic properties
  • Study the Brillouin zone and its significance in solid-state physics
  • Explore the band structure of other materials with FCC lattices
  • Learn about the mathematical modeling of energy bands and k-space paths
USEFUL FOR

Physicists, materials scientists, and engineers involved in semiconductor research and development, particularly those focusing on the electronic properties of materials with FCC lattice structures.

Tana-ami
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I have a question about horizontal axis of energy band.
In band structure of FCC lattice, like Si, GaAs, the horizontal axis have discontinuous at U point and K point. But other region have continuous like from Gamma to X or to L.
I cannot hit on an idea about this discontinuous.
Would anyone who understand the reason answer this question, please teach me.
 

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