Current versus electrochemical potential in nanoconstrictions with small atom-lead coupling

The current intensity through a nanoconstriction with relatively small atom-lead coupling is calculated in terms of the corresponding electrochemical potential which is assumed to be non-negative and referred to a reference electrode, given a certain electrolyte. In addition, a discussion in relation to off-resonant conduction is done including the derivation of an expression for the number of off-resonant states