Electron transport through an interacting region: The case of a nonorthogonal basis set

Details Electron transport through an interacting region: The case of a nonorthogonal basis set Electron transport through an interacting region: The case of a nonorthogonal basis set

2005-09-13

arxiv.org/abs/cond-mat/0509317v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Added references. 8 pages, 1 figure

Scientific paper

10.1103/PhysRevB.73.035309

The formula derived by Meir and Wingreen [Phys. Rev. Lett. {\bf 68}, 2512 (1992)] for the electron current through a confined, central region containing interactions is generalized to the case of a nonorthogonal basis set. As in the original work, the present derivation is based on the nonequilibrium Keldysh formalism. By replacing the basis functions of the central region by the corresponding elements of the dual basis, the lead- and central region-subspaces become mutually orthogonal. The current formula is then derived in the new basis, using a generalized version of second quantization and Green's function theory to handle the nonorthogonality within each of the regions. Finally, the appropriate nonorthogonal form of the perturbation series for the Green's function is established for the case of electron-electron and electron-phonon interactions in the central region.

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