Density functional calculations of nanoscale conductance

Details Density functional calculations of nanoscale conductance Density functional calculations of nanoscale conductance

2007-03-22

arxiv.org/abs/cond-mat/0703591v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

topical review, 28 pages, updated version with some revisions

Scientific paper

10.1088/0953-8984/20/8/083203

Density functional calculations for the electronic conductance of single molecules are now common. We examine the methodology from a rigorous point of view, discussing where it can be expected to work, and where it should fail. When molecules are weakly coupled to leads, local and gradient-corrected approximations fail, as the Kohn-Sham levels are misaligned. In the weak bias regime, XC corrections to the current are missed by the standard methodology. For finite bias, a new methodology for performing calculations can be rigorously derived using an extension of time-dependent current density functional theory from the Schroedinger equation to a Master equation.

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