期刊
PHYSICAL REVIEW LETTERS
卷 111, 期 22, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.111.226401
关键词
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资金
- Minerva Foundation of the DFG
- US-Israel BSF
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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