Solving 8 Band k.p Model for AlxGa1-xAs/GaAs QW

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SUMMARY

The discussion centers on the challenges faced while using the 8-band k·p method for modeling the band structure of AlxGa1-xAs/GaAs quantum wells. A significant discrepancy was noted in the conduction band (CB) energy calculation, with a reported value of 49.83 meV compared to the expected 73.175 meV. Participants are seeking assistance with MATLAB code and theoretical references related to the 8-band k·p method, highlighting the need for accurate implementations and comparisons of different variants of the k·p model.

PREREQUISITES
  • Understanding of the 8-band k·p method for semiconductor physics
  • Familiarity with MATLAB programming for numerical simulations
  • Knowledge of quantum well structures and their band structures
  • Basic principles of quantum mechanics relevant to solid-state physics
NEXT STEPS
  • Research the theoretical foundations of the 8-band k·p method for quantum wells
  • Explore MATLAB implementations of the 8-band k·p model for AlxGa1-xAs/GaAs
  • Investigate common pitfalls in band structure calculations using k·p methods
  • Compare results from different k·p model variants and their impact on band structure predictions
USEFUL FOR

Researchers, physicists, and engineers working on semiconductor materials, particularly those involved in modeling quantum wells and heterostructures using the k·p method.

rezaoliaee
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hi ,
I am working on bandstructure of AlxGa1-xAs/GaAs Quantum well with 8 band k.p method , but the results for CB,LH,HH and spin orbit splitting are different from other sources, for example CB energy for Al0.25Ga0.75As/GaAs
(barrier and well width=50 A) with my program is 49.83 meV whereas the correct result is 73.175 meV.I have worked about two weeks to troubleshoot every mistake that might be there in the program but I really don,t know what is the source of problem ?
I will be so happy that someone help me or introduce the complete reference about the 8 band k.p method for Quantum wells .
 
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Post your code or reference to the theory that you are using, there are many 8\times 8 \vec{k}*\vec{p} variants. I can think of things you may not have done that will affect your answers significantly.
 
hi,
Thanks for your response.

I sent 4*4 valence band k.p model MATLAB files and articles that I have used.please response me, what's the problem of codes and if possible send me another MATLAB file that I can use it for compare.

Thanks.
Best regards.
 

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rezaoliaee said:
hi,
Thanks for your response.

I sent 4*4 valence band k.p model MATLAB files and articles that I have used.please response me, what's the problem of codes and if possible send me another MATLAB file that I can use it for compare.

Thanks.
Best regards.

It'll take me a little time to look thru everything. It has been a while since I looked at these problems (5-10 years or so).
 
Hi, I am working on band structure of SC heterostructures using 8x8 K.P method and i do have some variations in experimental results. can anyone please help me by sending me his version of the program. Thank you.
 
Hi, I am trying to model a type II GaSb/InAs superlattice through the 8 band k.p method in MATLAB...I have studied general quantum mechanics but have no background in coding. I need to calculate the bandstructure and the CB,VB wavefunctions...can anyone provide me with a sample code for better understanding?? thank you.
 

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