Discovery of higher-order topological insulators using the spin Hall conductivity as a topology signature

Abstract The discovery and realization of topological insulators, a phase of matter which hosts metallic boundary states when the d-dimension insulating bulk is confined to (d − 1)-dimensions, led to several potential applications. Recently, it was shown that protected topological states can manifes...

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Autores principales:	Marcio Costa, Gabriel R. Schleder, Carlos Mera Acosta, Antonio C. M. Padilha, Frank Cerasoli, Marco Buongiorno Nardelli, Adalberto Fazzio
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Materials of engineering and construction. Mechanics of materials TA401-492 Computer software QA76.75-76.765
Acceso en línea:	https://doaj.org/article/7a84d9a32840431da8ec67dca2bc47ea
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spelling	oai:doaj.org-article:7a84d9a32840431da8ec67dca2bc47ea2021-12-02T15:51:09ZDiscovery of higher-order topological insulators using the spin Hall conductivity as a topology signature10.1038/s41524-021-00518-42057-3960https://doaj.org/article/7a84d9a32840431da8ec67dca2bc47ea2021-04-01T00:00:00Zhttps://doi.org/10.1038/s41524-021-00518-4https://doaj.org/toc/2057-3960Abstract The discovery and realization of topological insulators, a phase of matter which hosts metallic boundary states when the d-dimension insulating bulk is confined to (d − 1)-dimensions, led to several potential applications. Recently, it was shown that protected topological states can manifest in (d − 2)-dimensions, such as hinge and corner states for three- and two-dimensional systems, respectively. These nontrivial materials are named higher-order topological insulators (HOTIs). Here we show a connection between spin Hall effect and HOTIs using a combination of ab initio calculations and tight-binding modeling. The model demonstrates how a non-zero bulk midgap spin Hall conductivity (SHC) emerges within the HOTI phase. Following this, we performed high-throughput density functional theory calculations to find unknown HOTIs, using the SHC as a criterion. We calculated the SHC of 693 insulators resulting in seven stable two-dimensional HOTIs. Our work guides novel experimental and theoretical advances towards higher-order topological insulator realization and applications.Marcio CostaGabriel R. SchlederCarlos Mera AcostaAntonio C. M. PadilhaFrank CerasoliMarco Buongiorno NardelliAdalberto FazzioNature PortfolioarticleMaterials of engineering and construction. Mechanics of materialsTA401-492Computer softwareQA76.75-76.765ENnpj Computational Materials, Vol 7, Iss 1, Pp 1-6 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Materials of engineering and construction. Mechanics of materials TA401-492 Computer software QA76.75-76.765
spellingShingle	Materials of engineering and construction. Mechanics of materials TA401-492 Computer software QA76.75-76.765 Marcio Costa Gabriel R. Schleder Carlos Mera Acosta Antonio C. M. Padilha Frank Cerasoli Marco Buongiorno Nardelli Adalberto Fazzio Discovery of higher-order topological insulators using the spin Hall conductivity as a topology signature
description	Abstract The discovery and realization of topological insulators, a phase of matter which hosts metallic boundary states when the d-dimension insulating bulk is confined to (d − 1)-dimensions, led to several potential applications. Recently, it was shown that protected topological states can manifest in (d − 2)-dimensions, such as hinge and corner states for three- and two-dimensional systems, respectively. These nontrivial materials are named higher-order topological insulators (HOTIs). Here we show a connection between spin Hall effect and HOTIs using a combination of ab initio calculations and tight-binding modeling. The model demonstrates how a non-zero bulk midgap spin Hall conductivity (SHC) emerges within the HOTI phase. Following this, we performed high-throughput density functional theory calculations to find unknown HOTIs, using the SHC as a criterion. We calculated the SHC of 693 insulators resulting in seven stable two-dimensional HOTIs. Our work guides novel experimental and theoretical advances towards higher-order topological insulator realization and applications.
format	article
author	Marcio Costa Gabriel R. Schleder Carlos Mera Acosta Antonio C. M. Padilha Frank Cerasoli Marco Buongiorno Nardelli Adalberto Fazzio
author_facet	Marcio Costa Gabriel R. Schleder Carlos Mera Acosta Antonio C. M. Padilha Frank Cerasoli Marco Buongiorno Nardelli Adalberto Fazzio
author_sort	Marcio Costa
title	Discovery of higher-order topological insulators using the spin Hall conductivity as a topology signature
title_short	Discovery of higher-order topological insulators using the spin Hall conductivity as a topology signature
title_full	Discovery of higher-order topological insulators using the spin Hall conductivity as a topology signature
title_fullStr	Discovery of higher-order topological insulators using the spin Hall conductivity as a topology signature
title_full_unstemmed	Discovery of higher-order topological insulators using the spin Hall conductivity as a topology signature
title_sort	discovery of higher-order topological insulators using the spin hall conductivity as a topology signature
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/7a84d9a32840431da8ec67dca2bc47ea
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Discovery of higher-order topological insulators using the spin Hall conductivity as a topology signature

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