Question: Chemical potential in two dimensions, show that the chemical potential of a Fermi gas in two dimensions is given by: (T) = k B T

Chemical potential in two dimensions, show that the chemical potential of a Fermi gas in two dimensions is given by: μ(T) = kBT in [exp(πth2/mkBT) – 1] for n electrons per unit area. The density of orbital’s of a free electron gas in two dimensions is independent of energy: D(ε) = m/πh2 per unit area of specimen.

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