The results suggest the following equivalent circuit for a real diode. There appears to be an interval voltage source, V0, an ideal diode characterized by I0 and the thermal voltage and an internal resistance.
I do not know enough about the internal structure of the diode to explain the internal voltage barrier. It may to due to a Fermi energy which is associated with the chemical potential, μ, a measure of the free energy of the charge carriers in the diode.
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