| Issue |
Europhys. Lett.
Volume 70, Number 4, May 2005
|
|
|---|---|---|
| Page(s) | 457 - 463 | |
| Section | Atomic and molecular physics | |
| DOI | https://doi.org/10.1209/epl/i2005-10018-2 | |
| Published online | 13 April 2005 | |
Exact formula of the bridge-mediated donor-acceptor effective coupling
1
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
Received:
20
January
2005
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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