Four-dimensional quantum Hall effect in a two-dimensional quasicrystal.
- Kraus YE Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel.
- Ringel Z Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel and Theoretical Physics, Oxford University, 1, Keble Road, Oxford OX1 3NP, United Kingdom.
- Zilberberg O Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel and Institute for Theoretical Physics, ETH Zurich, 8093 Zürich, Switzerland.
- 2013-12-17
Published in:
- Physical review letters. - 2013
English
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.
- Language
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- English
- Open access status
- green
- Identifiers
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- DOI 10.1103/PhysRevLett.111.226401
- PMID 24329460
- Persistent URL
- https://sonar.ch/global/documents/180977
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