$${\mathbb{Z}}/2$$ Z / 2 topological invariants and the half quantized Hall effect
Abstract The half-quantized Hall phase represents a unique metallic or semi-metallic state of matter characterized by a fractional quantum Hall conductance, precisely half of an integer ν multiple of e 2/h. Here we demonstrate the existence of a $${\mathbb{Z}}/2$$ Z / 2 topological invariant that se...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2025-01-01
|
| Series: | Communications Physics |
| Online Access: | https://doi.org/10.1038/s42005-024-01926-w |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841559398901612544 |
|---|---|
| author | Bo Fu Shun-Qing Shen |
| author_facet | Bo Fu Shun-Qing Shen |
| author_sort | Bo Fu |
| collection | DOAJ |
| description | Abstract The half-quantized Hall phase represents a unique metallic or semi-metallic state of matter characterized by a fractional quantum Hall conductance, precisely half of an integer ν multiple of e 2/h. Here we demonstrate the existence of a $${\mathbb{Z}}/2$$ Z / 2 topological invariant that sets the half-quantized Hall phase apart from two-dimensional ordinary metallic ferromagnets. The $${\mathbb{Z}}/2$$ Z / 2 classification is determined by the line integral of the intrinsic anomalous Hall conductance, which is safeguarded by two distinct categories of local unitary and anti-unitary symmetries in proximity to the Fermi surface of electron states. We further validate the $${\mathbb{Z}}/2$$ Z / 2 topological order in the context of the quantized Hall phase by examining semi-magnetic topological insulator Bi2Te3 and Bi2Se3 film for ν = 1 and topological crystalline insulator SnTe films for ν = 2 or 4. Our findings pave the way for future exploration and understanding of topological metals and their unique properties. |
| format | Article |
| id | doaj-art-e0b7de0059764c8fb3e953d5fd6fd7c9 |
| institution | Kabale University |
| issn | 2399-3650 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Communications Physics |
| spelling | doaj-art-e0b7de0059764c8fb3e953d5fd6fd7c92025-01-05T12:32:41ZengNature PortfolioCommunications Physics2399-36502025-01-018111410.1038/s42005-024-01926-w$${\mathbb{Z}}/2$$ Z / 2 topological invariants and the half quantized Hall effectBo Fu0Shun-Qing Shen1School of Sciences, Great Bay UniversityDepartment of Physics, The University of Hong KongAbstract The half-quantized Hall phase represents a unique metallic or semi-metallic state of matter characterized by a fractional quantum Hall conductance, precisely half of an integer ν multiple of e 2/h. Here we demonstrate the existence of a $${\mathbb{Z}}/2$$ Z / 2 topological invariant that sets the half-quantized Hall phase apart from two-dimensional ordinary metallic ferromagnets. The $${\mathbb{Z}}/2$$ Z / 2 classification is determined by the line integral of the intrinsic anomalous Hall conductance, which is safeguarded by two distinct categories of local unitary and anti-unitary symmetries in proximity to the Fermi surface of electron states. We further validate the $${\mathbb{Z}}/2$$ Z / 2 topological order in the context of the quantized Hall phase by examining semi-magnetic topological insulator Bi2Te3 and Bi2Se3 film for ν = 1 and topological crystalline insulator SnTe films for ν = 2 or 4. Our findings pave the way for future exploration and understanding of topological metals and their unique properties.https://doi.org/10.1038/s42005-024-01926-w |
| spellingShingle | Bo Fu Shun-Qing Shen $${\mathbb{Z}}/2$$ Z / 2 topological invariants and the half quantized Hall effect Communications Physics |
| title | $${\mathbb{Z}}/2$$ Z / 2 topological invariants and the half quantized Hall effect |
| title_full | $${\mathbb{Z}}/2$$ Z / 2 topological invariants and the half quantized Hall effect |
| title_fullStr | $${\mathbb{Z}}/2$$ Z / 2 topological invariants and the half quantized Hall effect |
| title_full_unstemmed | $${\mathbb{Z}}/2$$ Z / 2 topological invariants and the half quantized Hall effect |
| title_short | $${\mathbb{Z}}/2$$ Z / 2 topological invariants and the half quantized Hall effect |
| title_sort | mathbb z 2 z 2 topological invariants and the half quantized hall effect |
| url | https://doi.org/10.1038/s42005-024-01926-w |
| work_keys_str_mv | AT bofu mathbbz2z2topologicalinvariantsandthehalfquantizedhalleffect AT shunqingshen mathbbz2z2topologicalinvariantsandthehalfquantizedhalleffect |