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26 April 2024
 
  » arxiv » cond-mat/0502242

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Bridge-mediated Donor-Acceptor Effective Coupling: Exact theoretical description
D. J. Bicout ; F. Varchon ; E. Kats ;
Date 9 Feb 2005
Subject Soft Condensed Matter; Mesoscopic Systems and Quantum Hall Effect | cond-mat.soft cond-mat.mes-hall
AffiliationInstitut Laue-Langevin, Grenoble, France, and Biomathematics and Epidemiology, ENVL, Marcy l’Etoile, France), F. Varchon (Institut Laue-Langevin, Grenoble, France), and E. Kats (Institut Laue-Langevin, Grenoble, France, and L. D. Landau Institute
AbstractAn exact expression of the bridge-mediated donor-acceptor effective coupling, is derived. For systems represented by a tight-binding Hamiltonian with nearest-neighbor interactions, we show that the effective coupling, is equal to the product over all square of nearest-neighbor couplings divided by an appropriate product of level spacing of eigen energies of the Hamiltonian. Results of this calculation are compared to those obtained by perturbative approaches and some drawbacks of the latter are pointed out.
Source arXiv, cond-mat/0502242
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