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Segalina A, Francés-Monerris A, Pastore M, Leininger T, Evangelisti S, Monari A. Conical intersection properties unraveled by the position spread tensor. Theor Chem Acc 2018. [DOI: 10.1007/s00214-018-2377-y] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
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Diaz-Marquez A, Battaglia S, Bendazzoli GL, Evangelisti S, Leininger T, Berger JA. Signatures of Wigner localization in one-dimensional systems. J Chem Phys 2018; 148:124103. [PMID: 29604812 DOI: 10.1063/1.5017118] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We propose a simple and efficient approach to study Wigner localization in one-dimensional systems using ab initio theory. In particular, we propose a suitable basis for the study of localization which consists of equally spaced overlapping gaussians. We illustrate our approach with full-configuration interaction which yields exact results for a given basis set. With our approach, we were able to study up to 8 electrons with full-configuration interaction. Finally, we propose the total-position spread tensor and the total electron entropy as convenient quantities to obtain signatures of Wigner localization.
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Affiliation(s)
- Alejandro Diaz-Marquez
- Laboratoire de Chimie et Physique Quantiques, IRSAMC, Université de Toulouse, CNRS, UPS, 31062 Toulouse, France
| | - Stefano Battaglia
- Laboratoire de Chimie et Physique Quantiques, IRSAMC, Université de Toulouse, CNRS, UPS, 31062 Toulouse, France
| | | | - Stefano Evangelisti
- Laboratoire de Chimie et Physique Quantiques, IRSAMC, Université de Toulouse, CNRS, UPS, 31062 Toulouse, France
| | - Thierry Leininger
- Laboratoire de Chimie et Physique Quantiques, IRSAMC, Université de Toulouse, CNRS, UPS, 31062 Toulouse, France
| | - J A Berger
- Laboratoire de Chimie et Physique Quantiques, IRSAMC, Université de Toulouse, CNRS, UPS, 31062 Toulouse, France
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Fertitta E, El Khatib M, Bendazzoli GL, Paulus B, Evangelisti S, Leininger T. The spin-partitioned total position-spread tensor: An application to Heisenberg spin chains. J Chem Phys 2015; 143:244308. [PMID: 26723672 DOI: 10.1063/1.4936585] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
The spin partition of the Total Position-Spread (TPS) tensor has been performed for one-dimensional Heisenberg chains with open boundary conditions. Both the cases of a ferromagnetic (high-spin) and an anti-ferromagnetic (low-spin) ground-state have been considered. In the case of a low-spin ground-state, the use of alternating magnetic couplings allowed to investigate the effect of spin-pairing. The behavior of the spin-partitioned TPS (SP-TPS) tensor as a function of the number of sites turned to be closely related to the presence of an energy gap between the ground-state and the first excited-state at the thermodynamic limit. Indeed, a gapped energy spectrum is associated to a linear growth of the SP-TPS tensor with the number of sites. On the other hand, in gapless situations, the spread presents a faster-than-linear growth, resulting in the divergence of its per-site value. Finally, for the case of a high-spin wave function, an analytical expression of the dependence of the SP-TPS on the number of sites n and the total spin-projection Sz has been derived.
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Affiliation(s)
- Edoardo Fertitta
- Institut für Chemie und Biochemie, Freie Universität Berlin, Takustr. 3, 14195 Berlin, Germany
| | - Muammar El Khatib
- Laboratoire de Chimie et Physique Quantiques-LCPQ/IRSAMC, Université de Toulouse (UPS) et CNRS (UMR-5626), 118 Route de Narbonne, Toulouse Cedex 31062, France
| | - Gian Luigi Bendazzoli
- Dipartimento di Chimica Industriale "Toso Montanari," Università di Bologna, Viale Risorgimento 4, I-40136 Bologna, Italy
| | - Beate Paulus
- Institut für Chemie und Biochemie, Freie Universität Berlin, Takustr. 3, 14195 Berlin, Germany
| | - Stefano Evangelisti
- Laboratoire de Chimie et Physique Quantiques-LCPQ/IRSAMC, Université de Toulouse (UPS) et CNRS (UMR-5626), 118 Route de Narbonne, Toulouse Cedex 31062, France
| | - Thierry Leininger
- Laboratoire de Chimie et Physique Quantiques-LCPQ/IRSAMC, Université de Toulouse (UPS) et CNRS (UMR-5626), 118 Route de Narbonne, Toulouse Cedex 31062, France
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El Khatib M, Brea O, Fertitta E, Bendazzoli GL, Evangelisti S, Leininger T. The total position-spread tensor: Spin partition. J Chem Phys 2015; 142:094113. [DOI: 10.1063/1.4913734] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Muammar El Khatib
- Laboratoire de Chimie et Physique Quantiques - LCPQ/IRSAMC, Université de Toulouse (UPS) et CNRS (UMR-5626), 118, Route de Narbonne, 31062 Toulouse Cedex, France
| | - Oriana Brea
- Laboratoire de Chimie et Physique Quantiques - LCPQ/IRSAMC, Université de Toulouse (UPS) et CNRS (UMR-5626), 118, Route de Narbonne, 31062 Toulouse Cedex, France
- Departamento de Química, Facultad de Ciencias, Módulo 13, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain
| | - Edoardo Fertitta
- Institut für Chemie und Biochemie - Physikalische und Theoretische Chemie, Freie Universität Berlin, Takustr. 3, D-14195 Berlin, Germany
| | - Gian Luigi Bendazzoli
- Dipartimento di Chimica Industriale “Toso Montanari”, Università di Bologna, Viale Risorgimento 4, I–40136 Bologna, Italy
| | - Stefano Evangelisti
- Laboratoire de Chimie et Physique Quantiques - LCPQ/IRSAMC, Université de Toulouse (UPS) et CNRS (UMR-5626), 118, Route de Narbonne, 31062 Toulouse Cedex, France
| | - Thierry Leininger
- Laboratoire de Chimie et Physique Quantiques - LCPQ/IRSAMC, Université de Toulouse (UPS) et CNRS (UMR-5626), 118, Route de Narbonne, 31062 Toulouse Cedex, France
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Spin delocalization in hydrogen chains described with the spin-partitioned total position-spread tensor. Theor Chem Acc 2015. [DOI: 10.1007/s00214-015-1625-7] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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El Khatib M, Bendazzoli GL, Evangelisti S, Helal W, Leininger T, Tenti L, Angeli C. Beryllium Dimer: A Bond Based on Non-Dynamical Correlation. J Phys Chem A 2014; 118:6664-73. [DOI: 10.1021/jp503145u] [Citation(s) in RCA: 38] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Muammar El Khatib
- Laboratoire
de Chimie et Physique Quantiques, Université Paul Sabatier, 118, Route
de Narbonne, F-31062 Toulouse Cedex, France
| | - Gian Luigi Bendazzoli
- Dipartimento
di Chimica Industriale Toso Montanari, Università degli Studi di Bologna, Viale Risorgimento 4, I-40136 Bologna, Italy
| | - Stefano Evangelisti
- Laboratoire
de Chimie et Physique Quantiques, Université Paul Sabatier, 118, Route
de Narbonne, F-31062 Toulouse Cedex, France
| | - Wissam Helal
- Department
of Chemistry, University of Jordan, Amman 11942, Jordan
| | - Thierry Leininger
- Laboratoire
de Chimie et Physique Quantiques, Université Paul Sabatier, 118, Route
de Narbonne, F-31062 Toulouse Cedex, France
| | - Lorenzo Tenti
- Dipartimento
di Scienze Chimiche e Farmaceutiche, Università degli Studi di Ferrara, Via Fossato di Mortara 17, I-44121 Ferrara, Italy
| | - Celestino Angeli
- Dipartimento
di Scienze Chimiche e Farmaceutiche, Università degli Studi di Ferrara, Via Fossato di Mortara 17, I-44121 Ferrara, Italy
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Bendazzoli GL, El Khatib M, Evangelisti S, Leininger T. The total Position Spread in mixed-valence compounds: A study on the H4+ model system. J Comput Chem 2014; 35:802-8. [DOI: 10.1002/jcc.23557] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/13/2013] [Revised: 12/19/2013] [Accepted: 01/15/2014] [Indexed: 12/31/2022]
Affiliation(s)
- Gian Luigi Bendazzoli
- P. A. M. Università di Bologna; Dipartimento di Chimica Industriale “Toso Montanari,”; Viale Risorgimento 4 I-40136 Bologna Italy
| | - Muammar El Khatib
- Laboratoire de Chimie et Physique Quantiques; Université de Toulouse et CNRS, 118, Route de Narbonne; F-31062 Toulouse Cedex France
| | - Stefano Evangelisti
- Laboratoire de Chimie et Physique Quantiques; Université de Toulouse et CNRS, 118, Route de Narbonne; F-31062 Toulouse Cedex France
| | - Thierry Leininger
- Laboratoire de Chimie et Physique Quantiques; Université de Toulouse et CNRS, 118, Route de Narbonne; F-31062 Toulouse Cedex France
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Brea O, El Khatib M, Angeli C, Bendazzoli GL, Evangelisti S, Leininger T. Behavior of the Position–Spread Tensor in Diatomic Systems. J Chem Theory Comput 2013; 9:5286-95. [DOI: 10.1021/ct400453b] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Oriana Brea
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse et CNRS, 118, Route de Narbonne, F-31062 Toulouse Cedex, France
- Departamento de Química, Facultad de Ciencias,
Módulo 13, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain
| | - Muammar El Khatib
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse et CNRS, 118, Route de Narbonne, F-31062 Toulouse Cedex, France
| | - Celestino Angeli
- Dipartimento di Scienze Chimiche e Farmaceutiche, Università di Ferrara, Via Borsari 46, I-44121 Ferrara, Italy
| | - Gian Luigi Bendazzoli
- P.A.M. Università di Bologna, Dipartimento di Chimica Industriale
“Toso Montanari”, Viale Risorgimento 4, I-40136 Bologna, Italy
| | - Stefano Evangelisti
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse et CNRS, 118, Route de Narbonne, F-31062 Toulouse Cedex, France
| | - Thierry Leininger
- Laboratoire de Chimie et Physique Quantiques, Université de Toulouse et CNRS, 118, Route de Narbonne, F-31062 Toulouse Cedex, France
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