$${\mathbb{Z}}/2$$ 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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2025-01-01
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| Series: | Communications Physics |
| Online Access: | https://doi.org/10.1038/s42005-024-01926-w |
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| Summary: | 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. |
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| ISSN: | 2399-3650 |