Theory of STM junctions for π-conjugated molecules on thin insulating films

Details Theory of STM junctions for π-conjugated molecules on thin insulating films Theory of STM junctions for π-conjugated molecules on thin insulating films

2012-01-30

arxiv.org/abs/1201.6329v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

19 pages, 11 figures, submitted to PRB

Scientific paper

A microscopic theory of the transport in a scanning tunnelling microscope (STM) set-up is introduced for \pi-conjugated molecules on insulating films, based on the density matrix formalism. A key role is played in the theory by the energy dependent tunnelling rates which account for the coupling of the molecule to the tip and to the substrate. In particular, we analyze how the geometrical differences between the localized tip and extended substrate are encoded in the tunnelling rate and influence the transport characteristics. Finally, using benzene as an example of a planar, rotationally symmetric molecule, we calculate the STM current voltage characteristics and current maps and analyze them in terms of few relevant angular momentum channels.

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