Coherent charge transport through molecular wires: Influence of strong Coulomb repulsion

Abstract

We derive a master equation for the electron transport through molecular wires in the limit of strong Coulomb repulsion. This approach is applied to two typical situations: First, we study transport through an open conduction channel for which we find that the current exhibits an ohmic-like behaviour. Second, we explore the transport properties of a bridged molecular wire, where the current decays exponentially as a function of the wire length. For both situations, we discuss the differences to the case of non-interacting electrons.

Edge-state blockade of transport in quantum dot arrays

“…For a sufficiently large array, , the bottleneck of the transport is the tunneling between edge states. The corresponding current reads I 2 / and consists of uncorrelated events [21], i.e., it is a Poissonian process with the characteristic Fano factor F = 1. For an explicit derivation, see Appendix C 2.…”

Theoretical and experimental investigations of Coulomb blockade in coupled quantum dot systems

“…An detailed derivation of such a master equation approach has been presented e.g. in reference [17]. Here, we will briefly review this approach.…”

Exciton- and Light-induced Current in Molecular Nanojunctions

“…For the total density operator  one can obtain by standard techniques the approximate equation of motion [2,3]. The information of interest is limited only to the wire part of the density operator t , which can be obtained by defining a projection operator P that projects the complete system onto the relevant (molecule) part and by tracing out the reservoir degrees of freedom (…”

“…Electron transport through molecular wires has been under intense study in the last few years [1][2][3]. Theoretical modeling of electron transport [2,3] starts from the wire Hamiltonian as a tight-binding model composed of N sites that contain electron transfer (tunneling) interactions between nearest sites.…”

“…Theoretical modeling of electron transport [2,3] starts from the wire Hamiltonian as a tight-binding model composed of N sites that contain electron transfer (tunneling) interactions between nearest sites. For a molecular wire, this constitutes the so-called Huckel description where each site corresponds to one atom.…”