Four-Dimensional Quantum Hall Effect in a Two-Dimensional Quasicrystal

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Date
2013
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Kraus, Yaacov E.
Ringel, Zohar
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Physical Review Letters ; 111 (2013), 22. - 226401. - American Physical Society (APS). - ISSN 0031-9007. - eISSN 1079-7114
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.
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530 Physics
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ISO 690KRAUS, 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). 111(22), 226401. ISSN 0031-9007. eISSN 1079-7114. Available under: doi: 10.1103/PhysRevLett.111.226401
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}
}
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