In this paper we study the electronic properties of a single doped chain of
trans polyacetylene. First, we discuss the different theoretical approache
s for studying infinite, periodic, charged chains within parameter-free, el
ectronic-structure calculations. Subsequently, one of these is applied for
trans polyacetylene using a density-functional-based method. In particular,
the bond-length alternation and the energy gain due to this alternation as
a function of added charge are studied. Thereby, it is demonstrated that t
rans polyacetylene is lacking an electron-hole symmetry. We also;explore wh
ether the density-functional calculations predict a too large bond-length a
lternation when a finite set of points is used in the k-space sampling. Fin
ally, the first-principles results are analysed within a many-body Hubbard-
like model Hamiltonian. We find that when extra charge is added to every ce
ll the resulting Hubbard parameters are considerably larger than the ones u
sually attributed to trans polyacetylene and closer in value to those of th
e isolated atom. We discuss this result in relation to the importance of sc
reening effects and structural relaxations. (C) 2000 Elsevier Science B.V.
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