Spin-charge separation and quantum spin Hall effect of $$\beta$$ β -bismuthene
Abstract Multiple works suggest the possibility of classification of quantum spin Hall effect with magnetic flux tubes, which cause separation of spin and charge degrees of freedom and pumping of spin or Kramers-pair. However, the proof of principle demonstration of spin-charge separation is yet to...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2023-07-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-023-38491-1 |
| _version_ | 1797778946330198016 |
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| author | Alexander C. Tyner Pallab Goswami |
| author_facet | Alexander C. Tyner Pallab Goswami |
| author_sort | Alexander C. Tyner |
| collection | DOAJ |
| description | Abstract Multiple works suggest the possibility of classification of quantum spin Hall effect with magnetic flux tubes, which cause separation of spin and charge degrees of freedom and pumping of spin or Kramers-pair. However, the proof of principle demonstration of spin-charge separation is yet to be accomplished for realistic, ab initio band structures of spin-orbit-coupled materials, lacking spin-conservation law. In this work, we perform thought experiments with magnetic flux tubes on $$\beta$$ β -bismuthene, and demonstrate spin-charge separation, and quantized pumping of spin for three insulating states, that can be accessed by tuning filling fractions. With a combined analysis of momentum-space topology and real-space response, we identify important role of bands supporting even integer invariants, which cannot be addressed with symmetry-based indicators. Our work sets a new standard for the computational diagnosis of two-dimensional, quantum spin-Hall materials by going beyond the $$\mathbb {Z}_{2}$$ Z 2 paradigm and providing an avenue for precise determination of the bulk invariant through computation of quantized, real-space response. |
| first_indexed | 2024-03-12T23:23:53Z |
| format | Article |
| id | doaj.art-0ad07ae53c924d62bba84ebb2be999cc |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-03-12T23:23:53Z |
| publishDate | 2023-07-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-0ad07ae53c924d62bba84ebb2be999cc2023-07-16T11:14:28ZengNature PortfolioScientific Reports2045-23222023-07-011311810.1038/s41598-023-38491-1Spin-charge separation and quantum spin Hall effect of $$\beta$$ β -bismutheneAlexander C. Tyner0Pallab Goswami1Graduate Program in Applied Physics, Northwestern UniversityGraduate Program in Applied Physics, Northwestern UniversityAbstract Multiple works suggest the possibility of classification of quantum spin Hall effect with magnetic flux tubes, which cause separation of spin and charge degrees of freedom and pumping of spin or Kramers-pair. However, the proof of principle demonstration of spin-charge separation is yet to be accomplished for realistic, ab initio band structures of spin-orbit-coupled materials, lacking spin-conservation law. In this work, we perform thought experiments with magnetic flux tubes on $$\beta$$ β -bismuthene, and demonstrate spin-charge separation, and quantized pumping of spin for three insulating states, that can be accessed by tuning filling fractions. With a combined analysis of momentum-space topology and real-space response, we identify important role of bands supporting even integer invariants, which cannot be addressed with symmetry-based indicators. Our work sets a new standard for the computational diagnosis of two-dimensional, quantum spin-Hall materials by going beyond the $$\mathbb {Z}_{2}$$ Z 2 paradigm and providing an avenue for precise determination of the bulk invariant through computation of quantized, real-space response.https://doi.org/10.1038/s41598-023-38491-1 |
| spellingShingle | Alexander C. Tyner Pallab Goswami Spin-charge separation and quantum spin Hall effect of $$\beta$$ β -bismuthene Scientific Reports |
| title | Spin-charge separation and quantum spin Hall effect of $$\beta$$ β -bismuthene |
| title_full | Spin-charge separation and quantum spin Hall effect of $$\beta$$ β -bismuthene |
| title_fullStr | Spin-charge separation and quantum spin Hall effect of $$\beta$$ β -bismuthene |
| title_full_unstemmed | Spin-charge separation and quantum spin Hall effect of $$\beta$$ β -bismuthene |
| title_short | Spin-charge separation and quantum spin Hall effect of $$\beta$$ β -bismuthene |
| title_sort | spin charge separation and quantum spin hall effect of beta β bismuthene |
| url | https://doi.org/10.1038/s41598-023-38491-1 |
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