One-phonon assisted energy transfer in periodic arrays of optically active ions

Avgin İ. , Huber D.

JOURNAL OF LUMINESCENCE, vol.96, pp.149-154, 2002 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 96
  • Publication Date: 2002
  • Doi Number: 10.1016/s0022-2313(01)00217-4
  • Title of Journal : JOURNAL OF LUMINESCENCE
  • Page Numbers: pp.149-154


Energy transfer in periodic arrays of optically active ions is investigated. It is assumed that the transfer of excitation between ions takes place incoherently via a one-phonon process where the wavelength of the phonon is large in comparison with the inter-ion spacing. It is pointed out that the energy transfer can only occur where there is a mismatch in energy between the excited states of the two ions. The energy diffusion constant is calculated in an effective medium approximation assuming a Gaussian lineshape with no correlation between the excited state energies of neighboring ions, The temperature dependence of the diffusion constant is established for cubic lattices with nearest-neighbor transfer. Energy transfer in one-dimensional arrays with nearest-neighbor transfer is studied using an extension of the coherent exchange approximation developed for random ferromagnets. The coherent exchange approximation reproduces the asymptotic non-diffusive behavior found in numerical studies of fluorescence line narrowing in one-dimensional systems. (C) 2002 Elsevier Science B.V, All rights reserved.