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1D quasicrystals and topological markers

Title: 1D quasicrystals and topological markers
Authors: Sykes, J
Barnett, R
Item Type: Journal Article
Abstract: Local topological markers are effective tools for determining the topological properties of both homogeneous and inhomogeneous systems. The Chern marker is an established topological marker that has previously been shown to effectively reveal the topological properties of 2D systems. In an earlier work, the present authors have developed a marker that can be applied to 1D time-dependent systems which can be used to explore their topological properties, like charge pumping under the presence of disorder. In this paper, we show how to alter the 1D marker so that it can be applied to quasiperiodic and aperiodic systems. We then verify its effectiveness against different quasicrystal Hamiltonians, some which have been addressed in previous studies using existing methods, and others which possess topological structures that have been largely unexplored. We also demonstrate that the altered 1D marker can be productively applied to systems that are fully aperiodic.
Issue Date: 1-Jun-2022
Date of Acceptance: 1-Jun-2022
URI: http://hdl.handle.net/10044/1/97842
DOI: 10.1088/2633-4356/ac75a6
ISSN: 2633-4356
Publisher: IOP Publishing
Start Page: 025005
End Page: 025005
Journal / Book Title: Materials for Quantum Technology
Volume: 2
Issue: 2
Copyright Statement: Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Keywords: cond-mat.quant-gas
cond-mat.quant-gas
cond-mat.mtrl-sci
quant-ph
Publication Status: Published
Open Access location: https://iopscience.iop.org/article/10.1088/2633-4356/ac75a6
Online Publication Date: 2022-06-20
Appears in Collections:Applied Mathematics and Mathematical Physics
Mathematics



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