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1999 | 04 | 1 |

Tytuł artykułu

Disorder effects in bridged molecular systems. Random matrix theory approach

Warianty tytułu

Języki publikacji

EN

Abstrakty

EN
Advances in nanotechnologies and molecular assembly techniques have brought much attention to the problem of molecular wires studied with respect to disorder and to increased electronic connectivity. In this communication we aim to use the techniques of Random Matrix Theory (RMT) in the formalism of Free Random Variables (FRV) to analyze and predict electronic properties of one-dimensional disordered bridged molecular systems. We discuss possible application of the method in biological and chemical context. As an example, based on recent achievements in the theory of nonhermitian ensembles of random matrices, we outline here an efficient procedure to calculate electron transfer matrix in electron conducting disordered materials. The approach can be applied to the variety of problems like analysis of final state-selected spectra in unimolecular chemical reactions or population dynamics of biological species.

Wydawca

-

Rocznik

Tom

04

Numer

1

Opis fizyczny

p.19-36

Twórcy

  • Jagiellonian University, 30-059 Krakow, Poland
autor
autor

Bibliografia

  • 1. Kramer, B. and Mc Kinnon, A. Localization theory and experiment. Rep. Prog. Phys. 56 (1993) 1469-1564.
  • 2. Aviram, A., Ed. Molecular Electronics and Technology, AEP, New York 1992.
  • 3. Kemp, M., Roitberg, A., Mujica, V., Wanta, T. and Ratner, M. A. Molecular wires: extended coupling and disorder effects J. Phys. Chem. 100 (1996) 8349-8355.
  • 4. Evenson, J. W. and Karplus, M. Effective coupling in bridged electron transfer molecules. J. Chem. Phys. 96 (1992) 5272-5278.
  • 5. Davis, W. B., Wasielewski, M. R., Ratner, M. A., Mujica, V. and Nitzan, A Electron transfer rate in bridged molecular system. A phenomenological approach to relaxation. J. Phys. Chem. 101A (1997) 6158-6164.
  • 6. Shklovski, B. I. and Effos, A. L. Electronic Properties of Doped Semiconductors, Springer Verlag, Berlin, 1984.
  • 7. Bredás, J. L. and Silbey, R. Conjugated Polymers, Kluwer, Dordrecht, 1991.
  • 8. Ziman, J. M. Models of Disorder, Cambridge University Press, Cambridge 1979.
  • 9. Magoga, M. and Joachim, C. Conductance and transparence of long molecula wires. Phys. Rev. B 56 (1997) 4722-4729.
  • 10. Joachim, C. and Vinuesa, J. F. Length dependence of the conductance of molecular wire. Europhys. Lett. 33 (1996) 635-640.
  • 11. Hatano, N. and Nelson, D. R. Vortex pinning and non-hermitian quantum mechanics. Phys. Rev. Lett. 77 (1997) 570-579.

Typ dokumentu

Bibliografia

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