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Phys. Rev. B 73, 035408 (2006) [11 pages]

Time-dependent density functional theory with ultrasoft pseudopotentials: Real-time electron propagation across a molecular junction

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Xiaofeng Qian1, Ju Li2, Xi Lin1, and Sidney Yip1,*
1Department of Nuclear Science and Engineering and Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
2Department of Materials Science and Engineering, Ohio State University, Columbus, Ohio 43210, USA

Received 11 September 2005; published 5 January 2006

A practical computational scheme based on time-dependent density functional theory (TDDFT) and ultrasoft pseudopotentials (USPP) is developed to study electron dynamics in real time. A modified Crank-Nicolson time-stepping algorithm is adopted, under plane-wave basis. The scheme is validated by calculating the optical absorption spectra for a sodium dimer and a benzene molecule. As an application of this USPP-TDDFT formalism, we compute the time evolution of a test electron packet at the Fermi energy of the left metallic lead crossing a benzene-(1,4)-dithiolate junction. A transmission probability of 5–7%, corresponding to a conductance of 4.0–5.6 μS, is obtained. These results are consistent with complex band structure estimates and Green’s function calculation results at small bias voltages.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.73.035408
DOI:
10.1103/PhysRevB.73.035408
PACS:
73.63.−b, 71.15.−m, 78.67.−n

*Electronic address: syip@mit.edu