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

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.

Original languageAmerican English
Article number226401
JournalPhysical Review Letters
Volume111
Issue number22
DOIs
StatePublished - 25 Nov 2013
Externally publishedYes

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