Abstract
The ratio of conductances through carbon-ring based molecules are calculated for various positions of source-drain electrode leads on the molecule. These ratios are usually integers the so-called magic numbers. We find that deviations of the magic number ratios are either zero or quadratic in ratios of tight-binding model parameters.
Highlights
Charge transport through nanostructures represents a challenge from the experimental point of view as well as for theoretical approaches.[1]
The conductance as a function of the top gate voltage ε0 is even with respect to the particle-hole symmetric point ε0 = 0, where the Fermi energy of the leads coincides with the center of the HOMO-LUMO gap
The zero temperature conductance curves consist of a set of resonances, each corresponding to a molecular level being at the Fermi energy of the electrodes
Summary
Charge transport through nanostructures represents a challenge from the experimental point of view as well as for theoretical approaches.[1]. We concentrate on “magic” ratios, found recently in connectivity driven electrical conductance of graphene-like aromatic molecules.[25] Theoretical analysis of experiments using mechanically controlled break junctions to measure electrical conductance of such molecules reveals specific ratios between different connectivity geometry of external leads. These magic ratios appear in the regime of particle-hole symmetrically filled molecules, where the chemical potential is located at the HOMO-LUMO mid-gap.
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