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@article{Sykes:2022:2633-4356/ac75a6,
author = {Sykes, J and Barnett, R},
doi = {2633-4356/ac75a6},
journal = {Materials for Quantum Technology},
pages = {025005--025005},
title = {1D quasicrystals and topological markers},
url = {http://dx.doi.org/10.1088/2633-4356/ac75a6},
volume = {2},
year = {2022}
}

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TY  - JOUR
AB  - Local topological markers are effective tools for determining the topological properties of bothhomogeneous and inhomogeneous systems. The Chern marker is an established topologicalmarker that has previously been shown to effectively reveal the topological properties of 2Dsystems. In an earlier work, the present authors have developed a marker that can be applied to 1Dtime-dependent systems which can be used to explore their topological properties, like chargepumping under the presence of disorder. In this paper, we show how to alter the 1D marker so thatit can be applied to quasiperiodic and aperiodic systems. We then verify its effectiveness againstdifferent quasicrystal Hamiltonians, some which have been addressed in previous studies usingexisting methods, and others which possess topological structures that have been largelyunexplored. We also demonstrate that the altered 1D marker can be productively applied tosystems that are fully aperiodic.
AU  - Sykes,J
AU  - Barnett,R
DO  - 2633-4356/ac75a6
EP  - 025005
PY  - 2022///
SN  - 2633-4356
SP  - 025005
TI  - 1D quasicrystals and topological markers
T2  - Materials for Quantum Technology
UR  - http://dx.doi.org/10.1088/2633-4356/ac75a6
UR  - https://iopscience.iop.org/article/10.1088/2633-4356/ac75a6
UR  - http://hdl.handle.net/10044/1/97842
VL  - 2
ER  -

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