“…In that case, the electrical contact conductance evolves as a power-law of contact radius [29,1]. In the present case, the mean free path of electrons in this highly-doped diamond tip is estimated to be circa 2 nm [30,31,32], which is in good agreement with the present transition depth. Multi--spots model: Based on Holm's approach [1], it has been shown that if a macroscopic contact is the combination of a large number of local spots (because of roughness, surface contamination, native oxide,…), the total contact conductance is the sum of the individual conductances with an additional term accounting for the spot interaction.…”