Emergent dual topology in the three-dimensional Kane-Mele Pt_{2}HgSe_{3}

Recently, the very first large-gap Kane-Mele quantum spin Hall insulator was predicted to be monolayer jacutingaite (Pt_{2}HgSe_{3}), a naturally occurring exfoliable mineral discovered in Brazil in 2008. The stacking of quantum spin Hall monolayers into a van-der-Waals layered crystal typically lea...

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Main Authors: Antimo Marrazzo, Nicola Marzari, Marco Gibertini
Format: Article
Language:English
Published: American Physical Society 2020-03-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.012063
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author Antimo Marrazzo
Nicola Marzari
Marco Gibertini
author_facet Antimo Marrazzo
Nicola Marzari
Marco Gibertini
author_sort Antimo Marrazzo
collection DOAJ
description Recently, the very first large-gap Kane-Mele quantum spin Hall insulator was predicted to be monolayer jacutingaite (Pt_{2}HgSe_{3}), a naturally occurring exfoliable mineral discovered in Brazil in 2008. The stacking of quantum spin Hall monolayers into a van-der-Waals layered crystal typically leads to a (0;001) weak topological phase, which does not protect the existence of surface states on the (001) surface. Unexpectedly, recent angle-resolved photoemission spectroscopy experiments revealed the presence of surface states dispersing over large areas of the 001-surface Brillouin zone of jacutingaite single crystals. The 001-surface states have been shown to be topologically protected by a mirror Chern number C_{M}=−2, associated with a nodal line gapped by spin-orbit interactions. Here, we extend the two-dimensional Kane-Mele model to bulk jacutingaite and unveil the microscopic origin of the gapped nodal line and the emerging crystalline topological order. By using maximally localized Wannier functions, we identify a large nontrivial second nearest-layer hopping term that breaks the standard paradigm of weak topological insulators. Complemented by this term, the predictions of the Kane-Mele model are in remarkable agreement with recent experiments and first-principles simulations, providing an appealing conceptual framework also relevant for other layered materials made of stacked honeycomb lattices.
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spelling doaj.art-0bf4c57ab8544a74a25ecc4d3a51e64b2024-04-12T16:51:29ZengAmerican Physical SocietyPhysical Review Research2643-15642020-03-012101206310.1103/PhysRevResearch.2.012063Emergent dual topology in the three-dimensional Kane-Mele Pt_{2}HgSe_{3}Antimo MarrazzoNicola MarzariMarco GibertiniRecently, the very first large-gap Kane-Mele quantum spin Hall insulator was predicted to be monolayer jacutingaite (Pt_{2}HgSe_{3}), a naturally occurring exfoliable mineral discovered in Brazil in 2008. The stacking of quantum spin Hall monolayers into a van-der-Waals layered crystal typically leads to a (0;001) weak topological phase, which does not protect the existence of surface states on the (001) surface. Unexpectedly, recent angle-resolved photoemission spectroscopy experiments revealed the presence of surface states dispersing over large areas of the 001-surface Brillouin zone of jacutingaite single crystals. The 001-surface states have been shown to be topologically protected by a mirror Chern number C_{M}=−2, associated with a nodal line gapped by spin-orbit interactions. Here, we extend the two-dimensional Kane-Mele model to bulk jacutingaite and unveil the microscopic origin of the gapped nodal line and the emerging crystalline topological order. By using maximally localized Wannier functions, we identify a large nontrivial second nearest-layer hopping term that breaks the standard paradigm of weak topological insulators. Complemented by this term, the predictions of the Kane-Mele model are in remarkable agreement with recent experiments and first-principles simulations, providing an appealing conceptual framework also relevant for other layered materials made of stacked honeycomb lattices.http://doi.org/10.1103/PhysRevResearch.2.012063
spellingShingle Antimo Marrazzo
Nicola Marzari
Marco Gibertini
Emergent dual topology in the three-dimensional Kane-Mele Pt_{2}HgSe_{3}
Physical Review Research
title Emergent dual topology in the three-dimensional Kane-Mele Pt_{2}HgSe_{3}
title_full Emergent dual topology in the three-dimensional Kane-Mele Pt_{2}HgSe_{3}
title_fullStr Emergent dual topology in the three-dimensional Kane-Mele Pt_{2}HgSe_{3}
title_full_unstemmed Emergent dual topology in the three-dimensional Kane-Mele Pt_{2}HgSe_{3}
title_short Emergent dual topology in the three-dimensional Kane-Mele Pt_{2}HgSe_{3}
title_sort emergent dual topology in the three dimensional kane mele pt 2 hgse 3
url http://doi.org/10.1103/PhysRevResearch.2.012063
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