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

Click For Summary
The discussion centers on the discontinuities observed in the energy band structure of FCC lattices, specifically at the U and K points. Participants are questioning the nature of these discontinuities, noting that other regions, such as from Gamma to X or L, exhibit continuity. One contributor suggests that the apparent discontinuity may actually be a result of the derivatives at the X point, attributed to the sharp bend in the k-space path. The conversation seeks clarification on the underlying reasons for these phenomena in band structure. Understanding these points is crucial for deeper insights into the electronic properties of materials like Si and GaAs.
Tana-ami
Messages
1
Reaction score
0
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.
 

Attachments

  • Si_EnergyBand.jpg
    Si_EnergyBand.jpg
    15.9 KB · Views: 506
Physics news on Phys.org

Thread 'Time rondeau crystals, experimental observations'

A relative asked me about the following article: Experimental observation of a time rondeau crystal https://www.nature.com/articles/s41567-025-03028-y I pointed my relative to following article: Scientists Discovered a Time Crystal That Reveals a New Way to Order Time https://www.yahoo.com/news/articles/scientists-discovered-time-crystal-reveals-180055389.html This area is outside of my regular experience. I'm interested in radiation effects in polycrystalline material, i.e., grain...
View full post »

Similar threads

Discontinuity in an Electric line of force
  • · Replies 12 ·
Replies
12
Views
2K
Absorption in Indirect Bandgaps
  • · Replies 12 ·
Replies
12
Views
3K
Undergrad Energy of Conduction and Valence Band in Opposing Directions
  • · Replies 6 ·
Replies
6
Views
3K
Quastion about K-points and energy cutoff
  • · Replies 3 ·
Replies
3
Views
8K
Relation between electronic band structure and Fermi energy
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Bloch Waves within Tight Binding Approximation
  • · Replies 1 ·
Replies
1
Views
2K
A few questions to make sure I understand Fourier series
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Drawing a reciprocal lattice, also basis
  • · Replies 2 ·
Replies
2
Views
2K
Energy Bands and Molecular Orbitals
  • · Replies 3 ·
Replies
3
Views
3K
How to analyze band structure and the density of states?
  • · Replies 7 ·
Replies
7
Views
11K