2-dimensional valley degeneracy

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SUMMARY

The valley degeneracy for two-dimensional electron gases (2DEG) in silicon (Si), gallium arsenide (GaAs), indium arsenide (InAs), and germanium (Ge) is critical for accurate MOSFET simulations. The theoretical values are 6 for Si(111) and 3 for GaAs(100), although experimental measurements often report lower degeneracies due to inhomogeneous strain fields, with common values being 2 for Si(111) and 1 for GaAs. A significant reference for this topic is the PRL by Dan Tsui, which discusses the first measurement of the 6-fold degeneracy in Si(111).

PREREQUISITES
  • Understanding of two-dimensional electron gases (2DEG)
  • Familiarity with MOSFET simulation tools
  • Knowledge of semiconductor materials: Si, GaAs, InAs, Ge
  • Basic grasp of valley degeneracy concepts in solid-state physics
NEXT STEPS
  • Read the PRL by Dan Tsui on the 6-fold degeneracy in Si(111)
  • Research the effects of inhomogeneous strain fields on valley degeneracy
  • Explore simulation tools available on www.nanohub.org for MOSFET analysis
  • Investigate experimental methods for measuring valley degeneracy in 2DEG systems
USEFUL FOR

Researchers, physicists, and engineers involved in semiconductor physics, particularly those working with MOSFETs and two-dimensional electron gases.

jarra
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I was about to do a simulation on www.nanohub.org on a MOSFET when the simulation program asked me for the valley degeneracy of the 2DEG.
I've tried to look this up but i can't find it anywhere.
Does somebody know a website where I can find the valley degeneracy for a 2DEG for Si, GaAs, InAs and Ge?

Thankful for answers.
 
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The theoretical valley degeneracies for GaAs(100?) and Si(111) are respectively 3 (not 100% certain about this) and 6. The typical valley degeneracy measured in experiments, however, is lower due to inhomogeneous strain fields that lift some of the degeneracy. For, Si(111), the most commonly measured value is 2 and for GaAs, I think it is 1.

There's a PRL by Dan Tsui on the first measurement of the 6-fold degeneracy in Si(111). This paper, and its references should get you most of the information you need.
 
Thank you for the help! I will have a look at the PRL by Dan Tsui.
 

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