Transport Properties of Molecular Junctions by Natalya A. Zimbovskaya

Author:Natalya A. Zimbovskaya
Language: eng
Format: epub
Publisher: Springer New York, New York, NY

(4.80)

Here, the subscripts i ∕ f label initial and final states. Within the Fermi golden rule regime which allows to introduce the transfer rate, the bridge must be coupled to the final states much stronger than to the initial state . Therefore,

(4.81)

and the coupling to the final states falls out of the expressions for the electron transmission and current. Within the chosen model, this is a physically reasonable result, for the final state reservoir (the right “electrode” in the system) was merely introduced to impose a continuum of states, maintaining the transfer process at a steady-state rate. Also, considering the current flow one may suppose that the initial state is always filled (f i (E) = 1) and the final states are empty (f f (E) = 0). Therefore, the current flow through the “junction” is given by

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