KP 8 Band Model: Exploring Quantum Well Structures

  • Context: Graduate 
  • Thread starter Thread starter N_B
  • Start date Start date
  • Tags Tags
    Band Model
Click For Summary
SUMMARY

The discussion focuses on the use of a MATLAB program for k.p modeling of quantum well structures, specifically addressing the identification of conduction band (CB), heavy hole (HH), light hole (LH), and spin-orbit (SO) bands from eigenvalue outputs. The user seeks clarification on how to interpret the output files, which include eigenvalues and wave functions labeled as bands 1 through 8. It is established that the eight energies correspond to four bands in a type 2 quantum well with overlapping band structures, and further analysis requires understanding the relationship between the output and an 8x8 matrix representation.

PREREQUISITES
  • Familiarity with k.p theory and its application in semiconductor physics
  • Basic understanding of quantum well structures and band theory
  • Proficiency in MATLAB programming for data analysis
  • Knowledge of eigenvalue problems in quantum mechanics
NEXT STEPS
  • Research the k.p 8 band model and its applications in semiconductor physics
  • Learn how to interpret eigenvalue outputs in quantum well simulations
  • Explore MATLAB functions for handling and analyzing matrix data
  • Read "Semiconductor Physics and Devices" by Donald A. Neamen for foundational concepts
USEFUL FOR

This discussion is beneficial for physicists, materials scientists, and engineers working with semiconductor devices, particularly those involved in modeling quantum well structures and analyzing band structures using k.p methods.

N_B
Messages
1
Reaction score
0
Hi,
I have just started using a MATLAB program written by someone to do k.p modelling of the quantum well structures.The out put of it is several files.One file has a list of eigen values.Real and imaginary parts.How do I know which energies are CB,LH,HH?since it's a type 2 quantum well,with overlapping band structures.Also,I get several files with the information of wave functions corresponding to these eigen energies.But the file has output as band 1,2,3...8.and wave functions corresponding to each band over the entire quantum well range.These file kind of gives a 1X8 result (1 energyX8 bands)How does this relate to 8X8 matrix?
Any good book that can help me understanding k.p 8 band model?and help me in analyzing the result?
Thank You
 
Physics news on Phys.org
The 8 energies should correspond to 4 bands, CB, HH, LH and SO and should be in decreasing energy. I can't tell you any more without seeing the code.
 

Similar threads

Graduate The k direction in a k.p model ?
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Bandstructure calculation through 8 band k.p method
  • · Replies 1 ·
Replies
1
Views
6K
Graduate Solving 8 Band k.p Model for AlxGa1-xAs/GaAs QW
  • · Replies 5 ·
Replies
5
Views
13K
Graduate The hermicity of a k.p matrix?
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Localized states and density of states
  • · Replies 8 ·
Replies
8
Views
3K
Undergrad The standard model from loop quantum gravity via spinors octonions
  • · Replies 26 ·
Replies
26
Views
6K
Undergrad How to turn model of Schrödinger's Equation 2D?
  • · Replies 6 ·
Replies
6
Views
3K
Charge Density in Quantum well Sub-bands.
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Historical clarification of the Planck formula of blackbody radiation
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Loophole-free test of local realism via Hardy's violation
  • · Replies 37 ·
2
Replies
37
Views
7K