Higher-order topological Mott insulator on the pyrochlore lattice

Abstract We provide the first unbiased evidence for a higher-order topological Mott insulator in three dimensions by numerically exact quantum Monte Carlo simulations. This insulating phase is adiabatically connected to a third-order topological insulator in the noninteracting limit, which features...

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Main Authors: Yuichi Otsuka, Tsuneya Yoshida, Koji Kudo, Seiji Yunoki, Yasuhiro Hatsugai
Format: Article
Language:English
Published: Nature Portfolio 2021-10-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-021-99213-z
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author Yuichi Otsuka
Tsuneya Yoshida
Koji Kudo
Seiji Yunoki
Yasuhiro Hatsugai
author_facet Yuichi Otsuka
Tsuneya Yoshida
Koji Kudo
Seiji Yunoki
Yasuhiro Hatsugai
author_sort Yuichi Otsuka
collection DOAJ
description Abstract We provide the first unbiased evidence for a higher-order topological Mott insulator in three dimensions by numerically exact quantum Monte Carlo simulations. This insulating phase is adiabatically connected to a third-order topological insulator in the noninteracting limit, which features gapless modes around the corners of the pyrochlore lattice and is characterized by a $${\mathbb {Z}}_{4}$$ Z 4 spin-Berry phase. The difference between the correlated and non-correlated topological phases is that in the former phase the gapless corner modes emerge only in spin excitations being Mott-like. We also show that the topological phase transition from the third-order topological Mott insulator to the usual Mott insulator occurs when the bulk spin gap solely closes.
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spelling doaj.art-6dab6a7fd9b3409cbcb0b6bbc872ef242022-12-21T23:33:33ZengNature PortfolioScientific Reports2045-23222021-10-011111710.1038/s41598-021-99213-zHigher-order topological Mott insulator on the pyrochlore latticeYuichi Otsuka0Tsuneya Yoshida1Koji Kudo2Seiji Yunoki3Yasuhiro Hatsugai4Computational Materials Science Research Team, RIKEN Center for Computational Science (R-CCS)Graduate School of Pure and Applied Sciences, University of TsukubaDepartment of Physics, University of TsukubaComputational Materials Science Research Team, RIKEN Center for Computational Science (R-CCS)Graduate School of Pure and Applied Sciences, University of TsukubaAbstract We provide the first unbiased evidence for a higher-order topological Mott insulator in three dimensions by numerically exact quantum Monte Carlo simulations. This insulating phase is adiabatically connected to a third-order topological insulator in the noninteracting limit, which features gapless modes around the corners of the pyrochlore lattice and is characterized by a $${\mathbb {Z}}_{4}$$ Z 4 spin-Berry phase. The difference between the correlated and non-correlated topological phases is that in the former phase the gapless corner modes emerge only in spin excitations being Mott-like. We also show that the topological phase transition from the third-order topological Mott insulator to the usual Mott insulator occurs when the bulk spin gap solely closes.https://doi.org/10.1038/s41598-021-99213-z
spellingShingle Yuichi Otsuka
Tsuneya Yoshida
Koji Kudo
Seiji Yunoki
Yasuhiro Hatsugai
Higher-order topological Mott insulator on the pyrochlore lattice
Scientific Reports
title Higher-order topological Mott insulator on the pyrochlore lattice
title_full Higher-order topological Mott insulator on the pyrochlore lattice
title_fullStr Higher-order topological Mott insulator on the pyrochlore lattice
title_full_unstemmed Higher-order topological Mott insulator on the pyrochlore lattice
title_short Higher-order topological Mott insulator on the pyrochlore lattice
title_sort higher order topological mott insulator on the pyrochlore lattice
url https://doi.org/10.1038/s41598-021-99213-z
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AT kojikudo higherordertopologicalmottinsulatoronthepyrochlorelattice
AT seijiyunoki higherordertopologicalmottinsulatoronthepyrochlorelattice
AT yasuhirohatsugai higherordertopologicalmottinsulatoronthepyrochlorelattice