Publikation: Second-order topological modes in two-dimensional continuous media
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2021
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Košata, Jan
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Physical Review Research. American Physical Society (APS). 2021, 3(3), 032029. eISSN 2643-1564. Available under: doi: 10.1103/PhysRevResearch.3.L032029
Zusammenfassung
We present a symmetry-based scheme to create 0D second-order topological modes in continuous 2D systems. We show that a metamaterial with p6m-symmetric pattern exhibits two Dirac cones, which can be gapped in two distinct ways by deforming the pattern. Combining the deformations in a single system then emulates the 2D Jackiw-Rossi model of a topological vortex, where 0D in-gap bound modes are guaranteed to exist. We exemplify our approach with simple hexagonal, Kagome and honeycomb lattices. We furthermore formulate a quantitative method to extract the topological properties from finite-element simulations, which facilitates further optimization of the bound mode characteristics. Our scheme enables the realization of second-order topology in a wide range of experimental systems.
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KOŠATA, Jan, Oded ZILBERBERG, 2021. Second-order topological modes in two-dimensional continuous media. In: Physical Review Research. American Physical Society (APS). 2021, 3(3), 032029. eISSN 2643-1564. Available under: doi: 10.1103/PhysRevResearch.3.L032029BibTex
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year={2021},
doi={10.1103/PhysRevResearch.3.L032029},
title={Second-order topological modes in two-dimensional continuous media},
number={3},
volume={3},
journal={Physical Review Research},
author={Košata, Jan and Zilberberg, Oded},
note={Article Number: 032029}
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<dcterms:abstract xml:lang="eng">We present a symmetry-based scheme to create 0D second-order topological modes in continuous 2D systems. We show that a metamaterial with p6m-symmetric pattern exhibits two Dirac cones, which can be gapped in two distinct ways by deforming the pattern. Combining the deformations in a single system then emulates the 2D Jackiw-Rossi model of a topological vortex, where 0D in-gap bound modes are guaranteed to exist. We exemplify our approach with simple hexagonal, Kagome and honeycomb lattices. We furthermore formulate a quantitative method to extract the topological properties from finite-element simulations, which facilitates further optimization of the bound mode characteristics. Our scheme enables the realization of second-order topology in a wide range of experimental systems.</dcterms:abstract>
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