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We present density matrix renormalisation group calculations of the Pariser- Parr-Pople-Peierls model of linear polyenes within the adiabatic approximation. We calculate the vertical and relaxed transition energies, and relaxed geometries…

Condensed Matter · Physics 2009-11-07 William Barford , Robert J. Bursill , Mikhail Yu Lavrentiev

The Pariser-Parr-Pople model of pi-conjugated electrons is solved by the density matrix renormalization group method for the light emitting polymer, poly(para-phenylene vinylene). The energies of the primary excited states are calculated.…

Strongly Correlated Electrons · Physics 2007-05-23 Robert J. Bursill , William Barford

Density matrix renormalisation group calculations of a suitably parametrised model of long polyenes (polyacetylene oligomers), which incorporates both long range Coulomb interactions and adiabatic lattice relaxation, are presented. The…

Condensed Matter · Physics 2009-10-31 Robert J. Bursill , William Barford

Structural relaxations in electronically excited poly(para-phenylene) are studied using many-body perturbation theory and density-functional-theory methods. A sophisticated description of the electron-hole interaction is required to…

Materials Science · Physics 2009-11-10 Emilio Artacho , M. Rohlfing , M. Cote , P. D. Haynes , R. J. Needs , C. Molteni

Using parameter values relevant to polyacetylene and its finite polyene analogs, we determine, via exact finite size diagonalization of a 1D Peierls-Hubbard model, the relaxed geometry and optical absorption spectra of several states of…

Condensed Matter · Physics 2007-05-23 J. Tinka Gammel , D. K. Campbell

The two-state molecular orbital model of the one-dimensional phenyl-based semiconductors is applied to poly(p-phenylene vinylene). The energies of the low-lying excited states are calculated using the density matrix renormalization group…

Condensed Matter · Physics 2009-10-31 Mikhail Yu. Lavrentiev , William Barford , Simon J. Martin , Helen Daly , Robert J. Bursill

Probing extended polyene systems with energy in excess of the bright state ($1^1B_u^+$/$S_2$) band edge generates triplets via singlet fission. This process is not thought to involve the $2^1A_g^-$/$S_1$ state, suggesting that other states…

Strongly Correlated Electrons · Physics 2021-11-25 Darren J Valentine , Dilhan Manawadu , William Barford

A dynamical model of the dielectric screening of conjugated polymers is introduced and solved using the density matrix renormalization group method. The model consists of a line of quantized dipoles interacting with a polymer chain. The…

Strongly Correlated Electrons · Physics 2009-11-10 William Barford , Robert Bursill , David Yaron

Ground state properties and excited states of ladder-type paraphenylene oligomers are calculated applying semiempirical methods for up to eleven phenylene rings. The results are in qualitative agreement with experimental data. A new scheme…

Condensed Matter · Physics 2009-11-07 Joerg Rissler , Florian Gebhard , Peter Schwerdtfeger , Heinz Baessler

We solve a model of interacting electrons coupled to longitudinal phonons using the density matrix renormalisation group method. The model is parametrised for polyenes. We calculate the ground state, and first excited odd-parity singlet and…

Strongly Correlated Electrons · Physics 2007-05-23 W. Barford , R. J. Bursill , M. Yu Lavrentiev

We study energy relaxation in a phenomenological model for polymer built from rheological considerations: a one dimensional nonlinear lattice with dissipative couplings. These couplings are well known in polymer's community to be possibly…

Statistical Mechanics · Physics 2009-11-07 F. Gobet , S. Ciliberto , T. Dauxois

A new master equation to mimic the dynamics of a collection of interacting random walkers in an open system is proposed and solved numerically.In this model, the random walkers interact through excluded volume interaction (single-file…

Soft Condensed Matter · Physics 2007-05-23 Prasanth P Jose , Biman Bagchi

The Pariser-Parr-Pople Hamiltonian is used to calculate and identify the nature of the low-lying vertical transition energies of polydiacetylene. The model is solved using the density matrix renormalisation group method for a fixed…

Condensed Matter · Physics 2009-11-07 Alan Race , W. Barford , Robert J. Bursill

We report the symmetrized density matrix renormalization group (DMRG) study of neutral and doped oligomers of PPP system within an extended Hubbard model. Model parameters are determined by comparing the existing results for interacting…

Condensed Matter · Physics 2007-05-23 Y. Anusooya , Swapan K. Pati , S. Ramasesha

The exciton relaxation dynamics of photoexcited electronic states in poly($p$-phenylenevinylene) (PPV) are theoretically investigated within a coarse-grained model, in which both the exciton and nuclear degrees of freedom are treated…

Chemical Physics · Physics 2018-02-14 Jonathan R. Mannouch , William Barford , Sarah Al-Assam

Electron-electron interactions in general lead to both ground state and excited state confinement. We show, however, that in phenyl-substituted polyacetylenes electron-electron interactions cause enhanced delocalization of quasiparticles in…

Strongly Correlated Electrons · Physics 2009-10-31 Haranath Ghosh , Alok Shukla , Sumit Mazumdar

A density matrix renormalisation group scheme is developed, allowing for the first time essentially exact numerical solutions for the important excited states of a realistic semi-empirical model for oligo-phenylenes. By monitoring the…

Condensed Matter · Physics 2009-11-07 Robert J. Bursill , W. Barford

One-dimensional (1D) linear nanostructures comprising sp-hybridized carbon atoms, as derivatives of the prototypical allotrope known as carbyne, are predicted to possess outstanding mechanical, thermal, and electronic properties. Despite…

Electron-hole (e-h) capture in luminescent conjugated polymers (LCPs) is modeled by the dissipative dynamics of a multilevel electronic system coupled to a phonon bath. Electroinjected e-h pairs are simulated by a mixed quantum state, which…

Materials Science · Physics 2007-05-23 S. Karabunarliev , Eric R. Bittner

The two state molecular orbital (2-MO) model of the phenyl based semiconductors is used to calculate the low-lying spectra of the Ag and Bu states of poly(para-phenylene) (PPP). The model parameters are determined by fitting its predictions…

Condensed Matter · Physics 2009-10-31 W. Barford , R. J. Bursill , M. Yu. Lavrentiev
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