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capandbells
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Homework Statement
Calculate the average number of electrons (the occupation probability) in a localized state of impurity in a semiconductor at a finite temperature T. The impurity state in a semiconductor can be empty or it can be occupied by only one electron.
The Attempt at a Solution
Is this as easy as it seems? The partition sum is just 1 + exp(-(E - μ)/kT). The average occupancy is exp(-(E - μ)/kT) / [1 + exp(-(E - μ)/kT)] = 1 / [exp((E - μ)/kT) + 1], the FD distribution. Is there anything more to this?