Four-Dimensional Quantum Hall Effect in a Two-Dimensional Quasicrystal
| dc.contributor.author | Kraus, Yaacov E. | |
| dc.contributor.author | Ringel, Zohar | |
| dc.contributor.author | Zilberberg, Oded | |
| dc.date.accessioned | 2021-09-21T09:09:49Z | |
| dc.date.available | 2021-09-21T09:09:49Z | |
| dc.date.issued | 2013-11-27 | eng |
| dc.description.abstract | One-dimensional (1D) quasicrystals exhibit physical phenomena associated with the 2D integer quantum Hall effect. Here, we transcend dimensions and show that a previously inaccessible phase of matter-the 4D integer quantum Hall effect-can be incorporated in a 2D quasicrystal. Correspondingly, our 2D model has a quantized charge-pump accommodated by an elaborate edge phenomena with protected level crossings. We propose experiments to observe these 4D phenomena, and generalize our results to a plethora of topologically equivalent quasicrystals. Thus, 2D quasicrystals may pave the way to the experimental study of 4D physics. | eng |
| dc.description.version | published | eng |
| dc.identifier.arxiv | 1302.2647v2 | eng |
| dc.identifier.doi | 10.1103/PhysRevLett.111.226401 | eng |
| dc.identifier.pmid | 24329460 | eng |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/54924 | |
| dc.language.iso | eng | eng |
| dc.rights | terms-of-use | |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | |
| dc.subject.ddc | 530 | eng |
| dc.title | Four-Dimensional Quantum Hall Effect in a Two-Dimensional Quasicrystal | eng |
| dc.type | JOURNAL_ARTICLE | eng |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Kraus2013-11-27FourD-54924,
year={2013},
doi={10.1103/PhysRevLett.111.226401},
title={Four-Dimensional Quantum Hall Effect in a Two-Dimensional Quasicrystal},
number={22},
volume={111},
issn={0031-9007},
journal={Physical Review Letters},
author={Kraus, Yaacov E. and Ringel, Zohar and Zilberberg, Oded},
note={Article Number: 226401}
} | |
| kops.citation.iso690 | KRAUS, Yaacov E., Zohar RINGEL, Oded ZILBERBERG, 2013. Four-Dimensional Quantum Hall Effect in a Two-Dimensional Quasicrystal. In: Physical Review Letters. American Physical Society (APS). 2013, 111(22), 226401. ISSN 0031-9007. eISSN 1079-7114. Available under: doi: 10.1103/PhysRevLett.111.226401 | deu |
| kops.citation.iso690 | KRAUS, Yaacov E., Zohar RINGEL, Oded ZILBERBERG, 2013. Four-Dimensional Quantum Hall Effect in a Two-Dimensional Quasicrystal. In: Physical Review Letters. American Physical Society (APS). 2013, 111(22), 226401. ISSN 0031-9007. eISSN 1079-7114. Available under: doi: 10.1103/PhysRevLett.111.226401 | eng |
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<dcterms:abstract xml:lang="eng">One-dimensional (1D) quasicrystals exhibit physical phenomena associated with the 2D integer quantum Hall effect. Here, we transcend dimensions and show that a previously inaccessible phase of matter-the 4D integer quantum Hall effect-can be incorporated in a 2D quasicrystal. Correspondingly, our 2D model has a quantized charge-pump accommodated by an elaborate edge phenomena with protected level crossings. We propose experiments to observe these 4D phenomena, and generalize our results to a plethora of topologically equivalent quasicrystals. Thus, 2D quasicrystals may pave the way to the experimental study of 4D physics.</dcterms:abstract>
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| kops.sourcefield.plain | Physical Review Letters. American Physical Society (APS). 2013, 111(22), 226401. ISSN 0031-9007. eISSN 1079-7114. Available under: doi: 10.1103/PhysRevLett.111.226401 | eng |
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