DENSITY-MATRIX RENORMALIZATION-GROUP CALCULATIONS OF MOLECULAR EXCITON ENERGIES IN POLY(P-PHENYLENE VINYLENE)

Starting from the Pariser-Parr-Pople theory of pi-conjugated systems, we construct a model of the low lying excitations of poly(p-phenylene vinylene). The model is based on the bonding HOMO and LUMO states of t he molecular repeat units. The model is numerically tractable in that it is solved for oligomers of up to 15 units using the density matrix renormalisation group method. The energy of the 1(1)B(u)(-) exciton is in good agreement with experimental results for oligomers, and approa ches ca. 2.7 eV for oligomers of 15 units. Likewise, we predict a 2(1) Ag(+) exciton at ca. 2.8 eV, a 1(3)B(u)(+) exciton at 1.6 eV and the s inglet exciton binding energy as being 1.4 eV for single chains. We ex tend this approach to target other absorption bands. For example, we f ind a localised Frenkel exciton at 5.8 eV, in excellent agreement with the 6 eV absorption peak in PPV. (C) 1997 Elsevier Science S.A.