Topological invariants in two-dimensional quasicrystals

We provide a topological concept to characterize energy gaps in general two-dimensional quasiperiodic systems. We show that every single gap is uniquely characterized by a set of integers, which quantize the area of the momentum space in units of multiple Brillouin zones. These integers are found to...

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Bibliographic Details
Main Authors: Mikito Koshino, Hiroki Oka
Format: Article
Language:English
Published: American Physical Society 2022-01-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.4.013028