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Understanding Topological Insulators in Real Space
Indexado
WoS WOS:000655069700001
Scopus SCOPUS_ID:85107451831
DOI 10.3390/MOLECULES26102965
Año 2021
Tipo artículo de investigación

Citas Totales

Autores Afiliación Chile

Instituciones Chile

% Participación
Internacional

Autores
Afiliación Extranjera

Instituciones
Extranjeras


Abstract



A real space understanding of the Su-Schrieffer-Heeger model of polyacetylene is introduced thanks to delocalization indices defined within the quantum theory of atoms in molecules. This approach enables to go beyond the analysis of electron localization usually enabled by topological insulator indices-such as IPR-enabling to differentiate between trivial and topological insulator phases. The approach is based on analyzing the electron delocalization between second neighbors, thus highlighting the relevance of the sublattices induced by chiral symmetry. Moreover, the second neighbor delocalization index, delta(i,i+2), also enables to identify the presence of chirality and when it is broken by doping or by eliminating atom pairs (as in the case of odd number of atoms chains). Hints to identify bulk behavior thanks to delta(1,3) are also provided. Overall, we present a very simple, orbital invariant visualization tool that should help the analysis of chirality (independently of the crystallinity of the system) as well as spreading the concepts of topological behavior thanks to its relationship with well-known chemical concepts.

Revista



Revista ISSN
Molecules 1420-3049

Métricas Externas



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Disciplinas de Investigación



WOS
Chemistry, Multidisciplinary
Biochemistry & Molecular Biology
Chemistry, Organic
Scopus
Sin Disciplinas
SciELO
Sin Disciplinas

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Publicaciones WoS (Ediciones: ISSHP, ISTP, AHCI, SSCI, SCI), Scopus, SciELO Chile.

Colaboración Institucional



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Autores - Afiliación



Ord. Autor Género Institución - País
1 Pendás, Ángel Martín Hombre Univ Oviedo - España
Universidad de Oviedo - España
1 Pendás, Angel Martín - Universidad de Oviedo - España
1 Martín Pendás, Angel - Universidad de Oviedo - España
2 MUNOZ-SAEZ, FRANCISCO JAVIER Hombre Universidad de Chile - Chile
Centro para el Desarrollo de la Nanociencia y la Nanotecnologia - Chile
3 CARDENAS-CARVAJAL, CESAR ANTONIO Hombre Universidad de Chile - Chile
Centro para el Desarrollo de la Nanociencia y la Nanotecnologia - Chile
4 Contreras-Garcia, Julia Mujer Sorbonne Univ - Francia
CNRS - Francia
Sorbonne Université - Francia

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Financiamiento



Fuente
FONDECYT
Fondo Nacional de Desarrollo Científico y Tecnológico
Comisión Nacional de Investigación Científica y Tecnológica
European Commission
Ministerio de Ciencia e Innovación
Spanish MICINN
supercomputing infrastructure of the NLHPC
CONICYT PIA/Anillo
FICyT
Center for the Development of Nanoscience and Nanotechnology CEDENNA
Fundación para el Fomento en Asturias de la Investigación Científica Aplicada y la Tecnología
CONICYT through REDES
European Union FEDER
Centers of Excellence with Basal-Conicyt
Programa de Cooperacion Cientfifica ECOS-CONICYT

Muestra la fuente de financiamiento declarada en la publicación.

Agradecimientos



Agradecimiento
C.C. acknowledges support by FONDECYT through project No. 1181121, CONICYT through REDES 190102 and Centers of Excellence With Basal-Conicyt Financing, Grant FB0807. F.M. acknowledges support by FONDECYT 1191353, the Center for the Development of Nanoscience and Nanotechnology CEDENNA AFB180001 and from Conicyt PIA/Anillo ACT192023. This research was partially supported by the supercomputing infrastructure of the NLHPC (ECM-02). A.M.P. thanks the Spanish MICINN, grant PGC2018-095953-B-I00; the FICyT, grant FC-GRUPIN-IDI/2018/000177; and the European Union FEDER for funding. The international cooperation has been possible thanks to Programa de Cooperacion Cientfifica ECOS-CONICYT ECOS170045.
C.C. acknowledges support by FONDECYT through project No. 1181121, CONICYT through REDES 190102 and Centers of Excellence With Basal-Conicyt Financing, Grant FB0807. F.M. acknowledges support by FONDECYT 1191353, the Center for the Development of Nanoscience and Nanotechnology CEDENNA AFB180001 and from Conicyt PIA/Anillo ACT192023. This research was partially supported by the supercomputing infrastructure of the NLHPC (ECM-02). A.M.P. thanks the Spanish MICINN, grant PGC2018-095953-B-I00; the FICyT, grant FC-GRUPIN-IDI/2018/000177; and the European Union FEDER for funding. The international cooperation has been possible thanks to Programa de Cooperación Cientfífica ECOS-CONICYT ECOS170045.
Funding: C.C. acknowledges support by FONDECYT through project No. 1181121, CONICYT through REDES 190102 and Centers of Excellence With Basal-Conicyt Financing, Grant FB0807. F.M. acknowledges support by FONDECYT 1191353, the Center for the Development of Nanoscience and Nanotechnology CEDENNA AFB180001 and from Conicyt PIA/Anillo ACT192023. This research was partially supported by the supercomputing infrastructure of the NLHPC (ECM-02). A.M.P. thanks the Spanish MICINN, grant PGC2018-095953-B-I00; the FICyT, grant FC-GRUPIN-IDI/2018/000177; and the European Union FEDER for funding. The international cooperation has been possible thanks to Programa de Cooperación Cientfífica ECOS-CONICYT ECOS170045.
C.C. acknowledges support by FONDECYT through project No. 1181121, CONICYT through REDES 190102 and Centers of Excellence With Basal-Conicyt Financing, Grant FB0807. F.M. acknowledges support by FONDECYT 1191353, the Center for the Development of Nanoscience and Nanotechnology CEDENNA AFB180001 and from Conicyt PIA/Anillo ACT192023. This research was partially supported by the supercomputing infrastructure of the NLHPC (ECM-02). A.M.P. thanks the Spanish MICINN, grant PGC2018-095953-B-I00; the FICyT, grant FC-GRUPIN-IDI/2018/000177; and the European Union FEDER for funding. The international cooperation has been possible thanks to Programa de Cooperación Cientfífica ECOS-CONICYT ECOS170045.
C.C. acknowledges support by FONDECYT through project No. 1181121, CONICYT through REDES 190102 and Centers of Excellence With Basal-Conicyt Financing, Grant FB0807. F.M. acknowledges support by FONDECYT 1191353, the Center for the Development of Nanoscience and Nanotechnology CEDENNA AFB180001 and from Conicyt PIA/Anillo ACT192023. This research was partially supported by the supercomputing infrastructure of the NLHPC (ECM-02). A.M.P. thanks the Spanish MICINN, grant PGC2018-095953-B-I00; the FICyT, grant FC-GRUPIN-IDI/2018/000177; and the European Union FEDER for funding. The international cooperation has been possible thanks to Programa de Cooperación Cientfífica ECOS-CONICYT ECOS170045.
C.C. acknowledges support by FONDECYT through project No. 1181121, CONICYT through REDES 190102 and Centers of Excellence With Basal-Conicyt Financing, Grant FB0807. F.M. acknowledges support by FONDECYT 1191353, the Center for the Development of Nanoscience and Nanotechnology CEDENNA AFB180001 and from Conicyt PIA/Anillo ACT192023. This research was partially supported by the supercomputing infrastructure of the NLHPC (ECM-02). A.M.P. thanks the Spanish MICINN, grant PGC2018-095953-B-I00; the FICyT, grant FC-GRUPIN-IDI/2018/000177; and the European Union FEDER for funding. The international cooperation has been possible thanks to Programa de Cooperación Cientfífica ECOS-CONICYT ECOS170045.

Muestra la fuente de financiamiento declarada en la publicación.