Volume 70, Number 4, May 2005
|Page(s)||457 - 463|
|Section||Atomic and molecular physics|
|Published online||13 April 2005|
Exact formula of the bridge-mediated donor-acceptor effective coupling
Institut Laue-Langevin - 6 rue Jules Horowitz, B.P. 156, 38042 Grenoble, France
2 Biomathematics and Epidemiology, ENVL-TIMC B.P. 83, 69280 Marcy l'Etoile, France
3 L. D. Landau Institute for Theoretical Physics, RAS - 117940 GSP-1, Moscow, Russia
Accepted: 24 March 2005
An exact expression of the bridge-mediated donor-acceptor effective coupling, Hda, is derived. For systems represented by a tight-binding Hamiltonian with nearest-neighbor interactions, we show that is equal to the product over all squares of nearest-neighbor couplings divided by an appropriate product of level spacing of eigen energies of the Hamiltonian. These results are subsequently compared with those obtained using perturbation approaches.
PACS: 34.70.+e – Charge transfer / 73.40.Gk – Tunneling / 82.30.Fi – Ion-molecule, ion-ion, and charge-transfer reactions
© EDP Sciences, 2005
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