The Mystery of the Fermi Surface & Semiconductors

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SUMMARY

The discussion clarifies that semiconductors do not possess a traditional Fermi surface as found in metals. Instead, the concept of the Fermi level is more applicable, representing the highest occupied energy states within the valence band of a semiconductor. The distinction lies in the fact that semiconductors have a band gap, which prevents the formation of a continuous Fermi surface. For a deeper understanding, the Wikipedia article on Fermi levels and band structure is recommended.

PREREQUISITES
  • Understanding of semiconductor physics
  • Familiarity with band theory and energy bands
  • Knowledge of Fermi levels and their significance
  • Basic concepts of k-space in solid-state physics
NEXT STEPS
  • Research the concept of band gaps in semiconductors
  • Study the differences between metals and semiconductors regarding Fermi levels
  • Learn about k-space and its implications in solid-state physics
  • Explore the role of temperature in semiconductor behavior
USEFUL FOR

Students and professionals in physics, materials science, and electrical engineering who are seeking to deepen their understanding of semiconductor properties and the implications of Fermi levels.

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My teacher told me the other day that a semiconductor does not have a fermi surface. I didn't understand this remark. As I understand it the Fermi Surface is just the surface in k-space spanned by the highest occupied energy levels. Surely in a semiconductor you will also have some highest occupied energy states sitting in the top of the valence band?
 
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