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

Kraus, Yaacov E.; Ringel, Zohar; Zilberberg, Oded

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

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Datum

2013

Autor:innen

Kraus, Yaacov E.

Ringel, Zohar

Zilberberg, Oded

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen 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

Zusammenfassung

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.

Fachgebiet (DDC)

530 Physik

Zitieren

ISO 690

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

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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