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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

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 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

A theory is developed to describe the singlet dark state (usually labeled S1 or 2Ag) of polyenes and carotenoids. The theory assumes that in principle this state is a linear combination of a singlet triplet-pair and an odd-parity…

Chemical Physics · Physics 2022-07-20 William Barford

We show that two added, excess electrons with opposite spins in one-dimensional crystal lattices with quartic anharmonicity may form a bisolectron, which is a localized bound state of the paired electrons to a soliton-like lattice…

Strongly Correlated Electrons · Physics 2011-09-20 M. G. Velarde , L. Brizhik , A. P. Chetverikov , L. Cruzeiro , W. Ebeling , G. Röpke

We determine the interaction potential of a solitonic dipole in the singlet state, modeled as an SU(2) field, using improved lattice simulations of two stationary solitons at varying separations. The potential is extracted from the energy…

High Energy Physics - Lattice · Physics 2026-04-15 Manfried Faber , Rudolf Golubich

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 show that in anharmonic one-dimensional crystal lattices pairing of electrons or holes in a localized bisolectron state is possible due to coupling between the charges and the lattice deformation that can overcompensate the Coulomb…

Strongly Correlated Electrons · Physics 2012-03-02 L. Brizhik , A. P. Chetverikov , W. Ebeling , G. Röpke , M. G. Velarde

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

Exciton effects on conjugated polymers and the resulting optical nonlinearities are investigated in soliton lattice systems. The magnitude of the THG at the 10 percent doping increases by the factor about 10^2 from that of the neutral…

Condensed Matter · Physics 2016-08-31 Kikuo Harigaya

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 theory of charged excitons X- in a dilute 2D electron gas in a high magnetic field is presented. In contrast to previous calculations, three bound X- states (one singlet and two triplets) are found in a narrow and symmetric GaAs quantum…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Arkadiusz Wojs , John J. Quinn , Pawel Hawrylak

Exciton effects on conjugated polymers are investigated in the soliton lattice system. We use the Su-Schrieffer-Heeger model with long-range Coulomb interactions treated by the single-excitation configuration-interaction method. The soliton…

Condensed Matter · Physics 2008-02-03 Kikuo Harigaya , Yukihiro Shimoi , Shuji Abe

The polaron features for long-range electron-phonon interaction are investigated by extending a variational approach previously proposed for the study of systems with local coupling. The ground-state spectral weight, the average kinetic…

Strongly Correlated Electrons · Physics 2009-11-10 C. A. Perroni , V. Cataudella , G. De Filippis

The relaxation of a relativistic hot electron-positron plasma with a small fraction of cold electrons and ion species is investigated, and a quadruple Beltrami (QB) relaxed state is derived. The QB state is a non-force-free state that is a…

Plasma Physics · Physics 2025-07-02 Usman Shazad , M. Iqbal

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 closed analytical expression for the electron density of states function in a rectangular lattice is derived in an elementary way in terms of complete elliptic integrals of the first kind. The lattice can be treated as a deformed square…

Strongly Correlated Electrons · Physics 2008-04-30 Ryszard Piasecki

We perform an exact enumeration study of polymers formed from a (quenched) random sequence of charged monomers $\pm q_0$, restricted to a 2-dimensional square lattice. Monomers interact via a logarithmic (Coulomb) interaction. We study the…

Soft Condensed Matter · Physics 2009-10-30 Eilon Brenner , Yacov Kantor

In this letter, we study the effects of weak off-diagonal disorder on conjugated polymers with a doubly degenerate ground-state. We find that disorder induces a finite density of neutral solitons in the lattice dimerization of a polymer…

Soft Condensed Matter · Physics 2007-05-23 Marc Thilo Figge , Maxim V. Mostovoy , Jasper Knoester

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
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