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We study the elementary excitations of a model Hamiltonian for the $\pi$-electrons in poly-diacetylene chains. In these materials, the bare band gap is only half the size of the observed single-particle gap and the binding energy of the…

Strongly Correlated Electrons · Physics 2015-05-14 Gergely Barcza , Örs Legeza , Florian Gebhard , Reinhard M. Noack

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

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

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

We investigate the relaxation energies and excited state geometries of the light emitting polymer, poly(para-phenylene). We solve the Pariser-Parr-Pople-Peierls model using the density matrix renormalization group method. We find that the…

Strongly Correlated Electrons · Physics 2009-11-10 Eric E. Moore , William Barford , Robert J. Bursill

We derive an exact reduction of the screened second-order exchange (SOSEX) energy in the uniform electron gas to a triple integral for a specific class of single-pole screened interaction. The reduction proceeds by rescaling the frequency…

Computational Physics · Physics 2026-03-25 Fumihiro Imoto

An excitonic method proper to study conjugated oligomers and polymers is described and its applicability tested on the ground state and first excited states of trans-polyacetylene, taken as a model. From the Pariser-Parr-Pople Hamiltonian,…

Condensed Matter · Physics 2009-10-31 S. Pleutin , J. L. Fave

This work addresses the question of whether low-lying excitations in conjugated polymers are comprised of free charge-carriers or excitons. States are characterised as bound or unbound according to the scaling of the average particle-hole…

Condensed Matter · Physics 2009-10-31 M. Boman , R. J. Bursill

We study theoretically poly-diacetylene chains diluted in their monomer matrix. We employ the density-matrix renormalization group method (DMRG) on finite chains to calculate the ground state and low-lying excitations of the corresponding…

Strongly Correlated Electrons · Physics 2014-10-07 Gergely Barcza , William Barford , Florian Gebhard , Örs Legeza

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

A tight binding model of electrons interacting via bare Coulomb repulsion is numerically investigated by use of the Density Matrix Renormalization Group method which we prove applicable also to very long range potentials. From the analysis…

Strongly Correlated Electrons · Physics 2009-10-31 G. Fano , F. Ortolani , A. Parola , L. Ziosi

A symmetrized Density Matrix Renormalization Group procedure together with the correction vector approach is shown to be highly accurate for obtaining dynamic linear and third order polarizabilities of one-dimensional Hubbard and $U-V$…

Condensed Matter · Physics 2007-05-23 S. Ramasesha , Swapan K. Pati , H. R. Krishnamurthy , Z. Shuai , J. L. Bredas

The number of excitons that conjugated polymers can support at any one time underpins their optoelectronic performance in light emitting diodes and as laser gain media, as it sets a natural limit on exciton density. Here we have measured…

Chemical Physics · Physics 2025-03-25 Nicola J. Fairbairn , Olga Vodianova , Gordon J. Hedley

We introduce a framework for model reduction of chain models for dissipative particle dynamics (DPD) simulations, where the characteristic size of the chain, pressure, density, and temperature are preserved. The proposed methodology reduces…

Soft Condensed Matter · Physics 2016-05-04 Nicolas Moreno , Suzana P. Nunes , Victor M. Calo

The excitonic luminescence of an isolated polydiacetylene polymer chain in its monomer matrix is studied by micro-photoluminescence. These chains behave as perfect 1D excitonic systems with the expected 1/sqrt{E} density of states between 5…

Materials Science · Physics 2007-05-23 F. Dubin

The symmetrized Density-Matrix-Renormalization-Group (DMRG) method is used to study linear and nonlinear optical properties of Free base porphine and metallo-porphine. Long-range interacting model, namely, Pariser-Parr-Pople (PPP) model is…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Manoranjan Kumar , Y. Anusooya Pati , S. Ramasesha

The optical response of quasi-one-dimensional systems is often dominated by tightly bound excitons, that significantly influence their basic electronic properties. Despite their importance for device performance, accurately predicting their…

Mesoscale and Nanoscale Physics · Physics 2024-03-26 Cesar E. P. Villegas , Alexandre R. Rocha

We apply the DMRG method to the Pariser-Parr-Pople hamiltonian and investigate the onset of dimerization. We deduce the parameters of the hopping term and the contribution of the sigma bonds from ab initio calculations on ethylene. Denoting…

Strongly Correlated Electrons · Physics 2009-10-31 G. L. Bendazzoli , S. Evangelisti , G. Fano , F. Ortolani , L. Ziosi

We investigate the effect of static electron-phonon coupling, on real-time dynamics of spin and charge transport in $\pi$-conjugated polyene chains. The polyene chain is modeled by the Pariser-Parr-Pople Hamiltonian with dimerized…

Strongly Correlated Electrons · Physics 2012-01-30 Tirthankar Dutta , S. Ramasesha

Rheo-optical measurements on Polyemethyl methacrylate (PMMA) and 4-Butoxycarbonylmethylurethane (4-BCMU) show that these synthetic random coil polymer chains compress in Couette flow at semi-dilute concentrations. All previous models of…

Soft Condensed Matter · Physics 2014-04-01 Dave E. Dunstan
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