What the chemical potential physically means? In case of semiconductors how is it relevant? What is the difference between chemical potential and fermi energy in case of semiconductors? What is the physics behind it? I know the mathematical stuff. But I couldn't get an intuitive understanding of this thing. If anyone could please explain, that will be a great help.

  • $\begingroup$ Does this answer your question? Understanding the Fermi level and the Fermi-Dirac distribution $\endgroup$
    – Roger V.
    Oct 22, 2021 at 8:12
  • $\begingroup$ I read the post, but I am sorry that I am unable to grasp the thing. Can you please explain in a simpler language? Also, there is another post of similar nature: physics.stackexchange.com/questions/351374/… but I couldn't get what the author is trying to say by citing entropy of the system and fermi surface. $\endgroup$
    – Neutralino
    Oct 22, 2021 at 20:01
  • $\begingroup$ Hello there, and welcome to the Physics Stack Exchange! Please ask only one question per post. $\endgroup$ Oct 26, 2021 at 3:42
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    $\begingroup$ Concerning your lack of intuitive understanding, you're not alone. Kittel put it pretty well in his solid state physics book: "A vague discomfort at the thought of the chemical potential is still characteristic of a physics education." $\endgroup$ Nov 12, 2021 at 21:11


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