Bridge-mediated electronic interactions: Differences between Hamiltonian and Green function partitioning in a non-orthogonal basis

Journal Article (Journal Article)

An analysis of the partitioning (projection) technique is given with emphasis on non-orthogonal basis sets. The general expression for the effective Hamiltonian obtained via Löwdin partitioning of the Schrödinger equation is discussed in the context of semi-empirical theories and electron transfer matrix elements. Numerous pitfalls in calculations of matrix elements are pointed out. More importantly, it is shown that contrary to the case of an orthogonal basis, for a non-orthogonal basis Löwdin partitioning of the Schrödinger equation and partitioning of the Green function equation are not equivalent. The latter method provides a more general prescription for deriving effective Hamiltonians. Such Hamiltonians reproduce the full propagation in the partitioned subspace. © 1996 American Institute of Physics.

Full Text

Duke Authors

Cited Authors

  • Priyadarshy, S; Skourtis, SS; Risser, SM; Beratan, DN

Published Date

  • June 15, 1996

Published In

Volume / Issue

  • 104 / 23

Start / End Page

  • 9473 - 9481

International Standard Serial Number (ISSN)

  • 0021-9606

Digital Object Identifier (DOI)

  • 10.1063/1.471690

Citation Source

  • Scopus