Dynamics of Polarons and Bipolarons
with Interchain Coupling in Conjugated
Polymers
CLEBER DA SILVA PINHEIRO, GERALDO MAGELA E SILVA
Institute of Physics, University of Brası ´lia, 70.910-900 Brası ´lia, DF, Brazil
Received 17 November 2001; accepted 6 April 2003
Published online 00 Month 0000 in Wiley InterScience (www.interscience.wiley.com).
DOI 10.1002/qua.10666
ABSTRACT: The interchain and interactions of two parallel chains are studied
numerically through the dynamics of charged polaron and bipolaron in the presence of
an electric field by using the Pariser–Parr–Pople model combined with the
Su–Schrieffer–Heeger model. The electron–lattice coupling and the Brazovskii–Kirova-
type symmetry-breaking interaction are introduced in the current model. The electric
field is introduced in terms of a time-dependent vector potential that is included in the
Hamiltonian through a Peierls substitution of the phase factor to the transfer integral.
The charge-transfer probability between charged polarons and bipolarons belonging to
neighboring chains is determined by the numerical resolution of the equations of
motion within the unrestricted Hartree–Fock approximation. The effects of confinement
on the polaron and bipolaron motion are determined. © 2003 Wiley Periodicals, Inc. Int J
Quantum Chem 95: 000 – 000, 2003
Key words: bipolarons; conjugated polymers; dynamics; polarons
Introduction
T
he field of polymers in material sciences is
considered a very promising field of research.
These materials have attracted much attention from
the academic community because of their special
characteristics. These systems are a fundamental
part of molecular electronic devices and new com-
pounds [1–5].
In conjugated polymers, there is a representative
class of conducting polymers exhibiting quasi– one-
dimensional conductivity. A number of peculiar
optical, magnetic, and transport properties [6 –11]
have been observed in these materials. It is very
difficult to interpret these properties within the
conventional semiconductor model. Meanwhile,
the concept of nonlinear excitations—such as soli-
tons, polarons, and bipolarons—turns out to be
very successful in describing these striking phe-
nomena. They are considered to play essential roles
in the charge-transport mechanism. There are sev-
eral theoretical studies on the dynamic of such de-
Correspondence to: G. M. e Silva; e-mail: magela@fis.unb.br
Contract grant sponsor: Brazilian National Research Council.
International Journal of Quantum Chemistry, Vol 95, 000 – 000 (2003)
© 2003 Wiley Periodicals, Inc.
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