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The semi-empirical Pariser-Parr-Pople (PPP) Hamiltonian is reviewed for its ability to provide a minimal model of the chemistry of conjugated $\pi$-electron systems, and its current applications and limitations are discussed. From its…

Chemical Physics · Physics 2025-10-07 Marcel David Fabian , Nina Glaser , Gemma C. Solomon

Model Hamiltonians offer a cost-effective way to capture the key physics of large $\pi$-conjugated systems. In this work, we combine the Pariser--Parr--Pople (PPP) model Hamiltonian with pair Coupled Cluster Doubles (pCCD)-based methods to…

Chemical Physics · Physics 2025-08-27 Zahra Karimi , Somayeh Ahmadkhani , Katharina Boguslawski , Paweł Tecmer

Pariser-Parr-Pople (P-P-P) model Hamiltonian has been used extensively over the years to perform calculations of electronic structure and optical properties of $\pi$-conjugated systems successfully. In spite of tremendous successes of…

Computational Physics · Physics 2010-02-06 Priya Sony , Alok Shukla

The Pariser-Parr-Pople (PPP) model of a single-band one-dimensional (1D) metal is studied at the Hartree-Fock level, and by using the second-order perturbation theory of the electronic correlation. The PPP model provides an extension of the…

Strongly Correlated Electrons · Physics 2009-11-10 Rafał Podeszwa , Leszek Z. Stolarczyk

In light of the recent discrepancies reported between fixed node diffusion Monte Carlo and local natural orbital coupled cluster with single, double and perturbative triples (CCSD(T)) methodologies for non-covalent interactions in large…

Chemical Physics · Physics 2024-11-22 S. Lambie , D. Kats , D. Usyvat , A. Alavi

We investigate the cyclic polyenes (annulenes) C_{M}H_{M}, described by the Pariser--Parr--Pople (PPP) model, by means of the approximate coupled-pair theories (ACP, ACPQ). For the systems with the spectroscopic value of the PPP resonance…

Chemical Physics · Physics 2009-11-07 R. Podeszwa

In this paper we present a computational study of linear optical absorption in phenacene class of polyaromatic hydrocarbons. For the purpose, we have employed a correlated-electron methodology based upon configuration-interaction (CI)…

Materials Science · Physics 2018-10-17 Deepak Kumar Rai , Alok Shukla

Starting from the $\pi$-electron Pariser-Parr-Pople (PPP) Hamiltonian which includes both strong electron-phonon and electron-electron interactions, we propose some strongly correlated wave functions of increasing quality for the ground…

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

We calculate groundstate total energies and single-particle excitation energies of seven pi conjugated molecules described with the semi-empirical Pariser-Parr-Pople (PPP) model using self-consistent many-body perturbation theory at the GW…

Mesoscale and Nanoscale Physics · Physics 2013-11-22 K. Kaasbjerg , K. S. Thygesen

The $GW$ approximation has become a method of choice for predicting quasiparticle properties in solids and large molecular systems, owing to its favorable accuracy-cost balance. However, its accuracy is the result of a fortuitous…

Chemical Physics · Physics 2026-05-20 Antoine Marie , Pierre-François Loos

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

The relative energies of different phases or polymorphs of molecular solids can be small, less than a kiloJoule/mol. Reliable description of such energy differences requires high quality treatment of electron correlations, typically beyond…

Chemical Physics · Physics 2024-02-19 Khanh Ngoc Pham , Marcin Modrzejewski , Jiří Klimeš

To gain some insight into the structure and physical significance of the multiple solutions to the coupled-cluster doubles (CCD) equations corresponding to the Pariser-Parr-Pople (PPP) model of cyclic polyenes, complete solutions to the CCD…

Chemical Physics · Physics 2007-05-23 Rafał Podeszwa , Leszek Z. Stolarczyk , Karol Jankowski , Krzysztof Rubiniec

A key step in interpreting gas-phase ion mobility coupled with mass spectrometry (IM-MS) data for unknown structure prediction involves identifying the most favorable protonated structure. In the gas phase, the site of protonation is…

Machine Learning · Computer Science 2024-11-28 Hongni Jin , Kenneth M. Merz

Modeling of biomolecular systems plays an essential role in understanding biological processes, such as ionic flow across channels, protein modification or interaction, and cell signaling. The continuum model described by the…

Biological Physics · Physics 2015-12-08 Yu Qiao , Benzhuo Lu

In this paper we present results of large-scale correlated calculations of triplet photoinduced absorption (PA) spectrum of oligomers of poly-(para)phenylenevinylene (PPV) containing up to five phenyl rings. In particular, the high-energy…

Condensed Matter · Physics 2010-01-14 Alok Shukla

The coherent potential approximation, CPA, is a useful tool to treat systems with disorder. Cluster theories have been proposed to go beyond the translation invariant single-site CPA approximation and include some short range correlations.…

Condensed Matter · Physics 2009-10-31 C. I. Ventura , R. A. Barrio , .

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

Inducing-point-based sparse variational Gaussian processes have become the standard workhorse for scaling up GP models. Recent advances show that these methods can be improved by introducing a diagonal scaling matrix to the conditional…

Machine Learning · Statistics 2025-07-04 Thang D. Bui , Michalis K. Titsias

An optical potential constructed using the ${\bar p}N$ scattering amplitudes derived from the 2009 version of the Paris ${\bar N}N$ potential is applied in calculations of ${\bar p}$ quasi-bound states in selected nuclei across the periodic…

Nuclear Theory · Physics 2017-10-06 Jaroslava Hrtánková , Jiří Mareš
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