Four-dimensional quantum hall effect in a two-dimensional quasicrystal

Yaacov E. Kraus*, Zohar Ringel, Oded Zilberberg

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

190 Scopus citations


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.

Original languageAmerican English
Article number226401
JournalPhysical Review Letters
Issue number22
StatePublished - 25 Nov 2013
Externally publishedYes


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