Bounds on the chemical potential of electrons

  1. In a semiconductor, is the chemical potential of electrons limited to take values only between the valence band maximum and conduction band minimum? Are there circumstances where it can cross these bounds?
     
  2. jcsd
  3. DrDu

    DrDu 4,241
    Science Advisor

    It probably depends on how you define a semiconductor. Even a band structure is just a theoretical construct which does not correspond to a measurable quantity. I think there are substances whose resistance decreases with temperature and are thus semiconductors which are not well described in terms of a band structure.
     
  4. Do you happen to recall an example or a paper discussing this issue?
     
  5. DrDu

    DrDu 4,241
    Science Advisor

    No, but I had in mind Landaus- Fermi Liquid theory and some work of W. Kohn from 1964 where he tries to work out what fundamentally makes up a metal.
     
  6. Thank you for sharing your thoughts, DrDu!
     
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