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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Format: | Article |
Language: | English |
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Nature Portfolio
2021-10-01
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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. |
first_indexed | 2024-12-13T19:46:06Z |
format | Article |
id | doaj.art-6dab6a7fd9b3409cbcb0b6bbc872ef24 |
institution | Directory Open Access Journal |
issn | 2045-2322 |
language | English |
last_indexed | 2024-12-13T19:46:06Z |
publishDate | 2021-10-01 |
publisher | Nature Portfolio |
record_format | Article |
series | Scientific Reports |
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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