Quantum transport through molecular assemblies
March, N. H.
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We utilize the T=0 transport theory for resistivity R (α G-1 where G is the conductance), for molecular assemblies connected to metallic leads. Following the early work of Rousseau et al., which gave G-1 as a force-force correlation function R = < FF >, McCaskill and March introduced a denominator we shall denote by 1-b, where b takes account of bound states. Though for molecular assemblies, explicit calculation of both <FF> and b present difficulties for potential scattering theory we have adapted different models put forward in the literature to extract b and show that is highly oscillatory. In the case of the Brouwer model of electron pumping, when coulomb blockade is nor operative, one-electron theory, such as the treatment of McCaskill and March is appropriate. Transcending that however, we often over estimated by orders of magnitude in current treatments of molecular electronics set-ups.