The bulk-corner correspondence of time-reversal symmetric insulators

Abstract The topology of insulators is usually revealed through the presence of gapless boundary modes: this is the so-called bulk-boundary correspondence. However, the many-body wavefunction of a crystalline insulator is endowed with additional topological properties that do not yield surface spect...

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Autores principales:	Sander Kooi, Guido van Miert, Carmine Ortix
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Materials of engineering and construction. Mechanics of materials TA401-492 Atomic physics. Constitution and properties of matter QC170-197
Acceso en línea:	https://doaj.org/article/3c8a995934e24dc89c4944b60a507754
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id	oai:doaj.org-article:3c8a995934e24dc89c4944b60a507754
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spelling	oai:doaj.org-article:3c8a995934e24dc89c4944b60a5077542021-12-02T13:35:39ZThe bulk-corner correspondence of time-reversal symmetric insulators10.1038/s41535-020-00300-72397-4648https://doaj.org/article/3c8a995934e24dc89c4944b60a5077542021-01-01T00:00:00Zhttps://doi.org/10.1038/s41535-020-00300-7https://doaj.org/toc/2397-4648Abstract The topology of insulators is usually revealed through the presence of gapless boundary modes: this is the so-called bulk-boundary correspondence. However, the many-body wavefunction of a crystalline insulator is endowed with additional topological properties that do not yield surface spectral features, but manifest themselves as (fractional) quantized electronic charges localized at the crystal boundaries. Here, we formulate such bulk-corner correspondence for the physical relevant case of materials with time-reversal symmetry and spin-orbit coupling. To do so we develop partial real-space invariants that can be neither expressed in terms of Berry phases nor using symmetry-based indicators. These previously unknown crystalline invariants govern the (fractional) quantized corner charges both of isolated material structures and of heterostructures without gapless interface modes. We also show that the partial real-space invariants are able to detect all time-reversal symmetric topological phases of the recently discovered fragile type.Sander KooiGuido van MiertCarmine OrtixNature PortfolioarticleMaterials of engineering and construction. Mechanics of materialsTA401-492Atomic physics. Constitution and properties of matterQC170-197ENnpj Quantum Materials, Vol 6, Iss 1, Pp 1-12 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Materials of engineering and construction. Mechanics of materials TA401-492 Atomic physics. Constitution and properties of matter QC170-197
spellingShingle	Materials of engineering and construction. Mechanics of materials TA401-492 Atomic physics. Constitution and properties of matter QC170-197 Sander Kooi Guido van Miert Carmine Ortix The bulk-corner correspondence of time-reversal symmetric insulators
description	Abstract The topology of insulators is usually revealed through the presence of gapless boundary modes: this is the so-called bulk-boundary correspondence. However, the many-body wavefunction of a crystalline insulator is endowed with additional topological properties that do not yield surface spectral features, but manifest themselves as (fractional) quantized electronic charges localized at the crystal boundaries. Here, we formulate such bulk-corner correspondence for the physical relevant case of materials with time-reversal symmetry and spin-orbit coupling. To do so we develop partial real-space invariants that can be neither expressed in terms of Berry phases nor using symmetry-based indicators. These previously unknown crystalline invariants govern the (fractional) quantized corner charges both of isolated material structures and of heterostructures without gapless interface modes. We also show that the partial real-space invariants are able to detect all time-reversal symmetric topological phases of the recently discovered fragile type.
format	article
author	Sander Kooi Guido van Miert Carmine Ortix
author_facet	Sander Kooi Guido van Miert Carmine Ortix
author_sort	Sander Kooi
title	The bulk-corner correspondence of time-reversal symmetric insulators
title_short	The bulk-corner correspondence of time-reversal symmetric insulators
title_full	The bulk-corner correspondence of time-reversal symmetric insulators
title_fullStr	The bulk-corner correspondence of time-reversal symmetric insulators
title_full_unstemmed	The bulk-corner correspondence of time-reversal symmetric insulators
title_sort	bulk-corner correspondence of time-reversal symmetric insulators
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/3c8a995934e24dc89c4944b60a507754
work_keys_str_mv	AT sanderkooi thebulkcornercorrespondenceoftimereversalsymmetricinsulators AT guidovanmiert thebulkcornercorrespondenceoftimereversalsymmetricinsulators AT carmineortix thebulkcornercorrespondenceoftimereversalsymmetricinsulators AT sanderkooi bulkcornercorrespondenceoftimereversalsymmetricinsulators AT guidovanmiert bulkcornercorrespondenceoftimereversalsymmetricinsulators AT carmineortix bulkcornercorrespondenceoftimereversalsymmetricinsulators
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The bulk-corner correspondence of time-reversal symmetric insulators

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