Saturday, August 12, 2017

condensed matter - Why there is no hole in Sommerfeld's model of free electrons?


My question is very naive. I don't understand why there are no holes in Sommerfeld's model of free electrons? Whenever an electron is excited above the Fermi level $E_F=\mu(0)$, there should be a hole. But while calculating the electronic specific heat etc., the hole contribution is not taken into account. In fact, the hole picture is missing in Sommerfeld's model as discussed in books. Why is that? Do I misunderstand the concept of holes?




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