Four-dimensional conserved topological charge vectors in plasmonic quasicrystals.

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Title: Four-dimensional conserved topological charge vectors in plasmonic quasicrystals.
Authors: Tsesses, Shai (AUTHOR), Dreher, Pascal (AUTHOR), Janoschka, David (AUTHOR), Neuhaus, Alexander (AUTHOR), Cohen, Kobi (AUTHOR), Meiler, Tim C. (AUTHOR), Bucher, Tomer (AUTHOR), Sapir, Shay (AUTHOR), Frank, Bettina (AUTHOR), Davis, Timothy J. (AUTHOR), zu Heringdorf, Frank Meyer (AUTHOR), Giessen, Harald (AUTHOR), Bartal, Guy (AUTHOR)
Source: Science (pre-March 2025). 2/7/2025, Vol. 387 Issue 6734, p644-648. 5p. 4 Diagrams.
Subjects: Thermodynamics, Near-field microscopy, Conserved quantity, Rotational symmetry, Quasicrystals
Abstract: According to Noetherd5s theorem, symmetries in a physical system are intertwined with conserved quantities. These symmetries often determine the system topology, which is made ever more complex with increased dimensionality. Quasicrystals have neither translational nor global rotational symmetry, yet they intrinsically inhabit a higher-dimensional space in which symmetry resurfaces. Here, we discovered topological charge vectors in four dimensions (4D) that govern the real-space topology of 2D quasicrystals and reveal their inherent conservation laws. We demonstrate control over the topology in pentagonal plasmonic quasilattices, mapped by both phase-resolved and time-domain near-field microscopy, showing that their temporal evolution continuously tunes the 2D projections of their distinct 4D topologies. Our work provides a route to experimentally probe the thermodynamic properties of quasicrystals and topological physics in 4D and above. [ABSTRACT FROM AUTHOR]
Copyright of Science (pre-March 2025) is the property of American Association for the Advancement of Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Four-dimensional conserved topological charge vectors in plasmonic quasicrystals.
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  Data: <searchLink fieldCode="AR" term="%22Tsesses%2C+Shai%22">Tsesses, Shai</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Dreher%2C+Pascal%22">Dreher, Pascal</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Janoschka%2C+David%22">Janoschka, David</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Neuhaus%2C+Alexander%22">Neuhaus, Alexander</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Cohen%2C+Kobi%22">Cohen, Kobi</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Meiler%2C+Tim+C%2E%22">Meiler, Tim C.</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Bucher%2C+Tomer%22">Bucher, Tomer</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Sapir%2C+Shay%22">Sapir, Shay</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Frank%2C+Bettina%22">Frank, Bettina</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Davis%2C+Timothy+J%2E%22">Davis, Timothy J.</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22zu+Heringdorf%2C+Frank+Meyer%22">zu Heringdorf, Frank Meyer</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Giessen%2C+Harald%22">Giessen, Harald</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Bartal%2C+Guy%22">Bartal, Guy</searchLink> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Science+%28pre-March+2025%29%22">Science (pre-March 2025)</searchLink>. 2/7/2025, Vol. 387 Issue 6734, p644-648. 5p. 4 Diagrams.
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  Data: According to Noetherd5s theorem, symmetries in a physical system are intertwined with conserved quantities. These symmetries often determine the system topology, which is made ever more complex with increased dimensionality. Quasicrystals have neither translational nor global rotational symmetry, yet they intrinsically inhabit a higher-dimensional space in which symmetry resurfaces. Here, we discovered topological charge vectors in four dimensions (4D) that govern the real-space topology of 2D quasicrystals and reveal their inherent conservation laws. We demonstrate control over the topology in pentagonal plasmonic quasilattices, mapped by both phase-resolved and time-domain near-field microscopy, showing that their temporal evolution continuously tunes the 2D projections of their distinct 4D topologies. Our work provides a route to experimentally probe the thermodynamic properties of quasicrystals and topological physics in 4D and above. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Science (pre-March 2025) is the property of American Association for the Advancement of Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1126/science.adt2495
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              Text: 2/7/2025
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