Spinless topological chirality from Umklapp scattering in twisted 3D structures Article Swipe
Cong Chen
,
Xu-Tao Zeng
,
Yao Wang
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2406.08355
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2406.08355
Spinless systems exhibit unique topological characteristics compared to spinful ones, stemming from their distinct algebra. Without chiral interactions typically linked to spin, an intriguing yet unexplored interplay between topological and structural chirality may be anticipated. Here we discover spinless topological chiralities solely from structural chiralities that lie in the 3D spatial patterning of structureless units, exemplified using two types of twisted graphite systems. In a 3D screw twisted structure without periodicity in all directions, we find a chiral Weyl semimetal phase where bulk topology and chiral surface states are both determined by the screw direction. And in a 3D periodic structure formed with layer-alternating twist angle signs, a higher-order Dirac semimetal with chiral hinge states is discovered. Underlying these novel topological states is the intervalley Umklapp scattering that captures the chirality of the twisted interfaces, leading effectively to a sign-flipped chiral interlayer hopping, thereby introducing $π$-flux Z2 lattice gauge field that alters the symmetry algebra. Our findings point to a new pathway for engineering topological chirality through patterning twisted arrays of featureless units, which can expand the design principles for topological photonics and acoustics.
Related Topics
Concepts
Chirality (physics)
Scattering
Field (mathematics)
Gauge (firearms)
Physics
Gauge theory
Condensed matter physics
Graphite
Topology (electrical circuits)
Theoretical physics
Materials science
Quantum mechanics
Chiral anomaly
Mathematics
Pure mathematics
Combinatorics
Fermion
Nambu–Jona-Lasinio model
Metallurgy
Composite material
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2406.08355
- https://arxiv.org/pdf/2406.08355
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4399657783
All OpenAlex metadata
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https://openalex.org/W4399657783Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2406.08355Digital Object Identifier
- Title
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Spinless topological chirality from Umklapp scattering in twisted 3D structuresWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2024Year of publication
- Publication date
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2024-06-12Full publication date if available
- Authors
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Cong Chen, Xu-Tao Zeng, Yao WangList of authors in order
- Landing page
-
https://arxiv.org/abs/2406.08355Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2406.08355Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2406.08355Direct OA link when available
- Concepts
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Chirality (physics), Scattering, Field (mathematics), Gauge (firearms), Physics, Gauge theory, Condensed matter physics, Graphite, Topology (electrical circuits), Theoretical physics, Materials science, Quantum mechanics, Chiral anomaly, Mathematics, Pure mathematics, Combinatorics, Fermion, Nambu–Jona-Lasinio model, Metallurgy, Composite materialTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.states | 87, 114, 121 |
| abstract_inverted_index.unique | 3 |
| abstract_inverted_index.units, | 54, 172 |
| abstract_inverted_index.Umklapp | 125 |
| abstract_inverted_index.Without | 15 |
| abstract_inverted_index.between | 27 |
| abstract_inverted_index.exhibit | 2 |
| abstract_inverted_index.lattice | 147 |
| abstract_inverted_index.leading | 135 |
| abstract_inverted_index.pathway | 161 |
| abstract_inverted_index.spatial | 50 |
| abstract_inverted_index.spinful | 8 |
| abstract_inverted_index.surface | 86 |
| abstract_inverted_index.systems | 1 |
| abstract_inverted_index.thereby | 143 |
| abstract_inverted_index.through | 166 |
| abstract_inverted_index.twisted | 60, 67, 133, 168 |
| abstract_inverted_index.without | 69 |
| abstract_inverted_index.Spinless | 0 |
| abstract_inverted_index.algebra. | 14, 154 |
| abstract_inverted_index.captures | 128 |
| abstract_inverted_index.compared | 6 |
| abstract_inverted_index.discover | 37 |
| abstract_inverted_index.distinct | 13 |
| abstract_inverted_index.findings | 156 |
| abstract_inverted_index.graphite | 61 |
| abstract_inverted_index.hopping, | 142 |
| abstract_inverted_index.periodic | 99 |
| abstract_inverted_index.spinless | 38 |
| abstract_inverted_index.stemming | 10 |
| abstract_inverted_index.symmetry | 153 |
| abstract_inverted_index.systems. | 62 |
| abstract_inverted_index.topology | 83 |
| abstract_inverted_index.$π$-flux | 145 |
| abstract_inverted_index.chirality | 31, 130, 165 |
| abstract_inverted_index.interplay | 26 |
| abstract_inverted_index.photonics | 181 |
| abstract_inverted_index.semimetal | 79, 110 |
| abstract_inverted_index.structure | 68, 100 |
| abstract_inverted_index.typically | 18 |
| abstract_inverted_index.Underlying | 117 |
| abstract_inverted_index.acoustics. | 183 |
| abstract_inverted_index.determined | 90 |
| abstract_inverted_index.direction. | 94 |
| abstract_inverted_index.interlayer | 141 |
| abstract_inverted_index.intriguing | 23 |
| abstract_inverted_index.patterning | 51, 167 |
| abstract_inverted_index.principles | 178 |
| abstract_inverted_index.scattering | 126 |
| abstract_inverted_index.structural | 30, 43 |
| abstract_inverted_index.unexplored | 25 |
| abstract_inverted_index.chiralities | 40, 44 |
| abstract_inverted_index.directions, | 73 |
| abstract_inverted_index.discovered. | 116 |
| abstract_inverted_index.effectively | 136 |
| abstract_inverted_index.engineering | 163 |
| abstract_inverted_index.exemplified | 55 |
| abstract_inverted_index.featureless | 171 |
| abstract_inverted_index.interfaces, | 134 |
| abstract_inverted_index.intervalley | 124 |
| abstract_inverted_index.introducing | 144 |
| abstract_inverted_index.periodicity | 70 |
| abstract_inverted_index.topological | 4, 28, 39, 120, 164, 180 |
| abstract_inverted_index.anticipated. | 34 |
| abstract_inverted_index.higher-order | 108 |
| abstract_inverted_index.interactions | 17 |
| abstract_inverted_index.sign-flipped | 139 |
| abstract_inverted_index.structureless | 53 |
| abstract_inverted_index.characteristics | 5 |
| abstract_inverted_index.layer-alternating | 103 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 3 |
| citation_normalized_percentile.value | 0.07766264 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |