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Four-dimensional conserved topological charge vectors in plasmonic quasicrystals
Shai Tsesses1,2, Pascal Dreher3, David Janoschka3
1Andrew and Erna Viterbi Department of Electrical and Computer Engineering, Technion - Israel Institute of Technology, Haifa, Israel.
Science (New York, N.Y.)
|February 6, 2025
Summary
We discovered four-dimensional (4D) topological charge vectors governing 2D quasicrystal topology and conservation laws. This research enables experimental exploration of quasicrystal thermodynamics and higher-dimensional topological physics.
Area of Science:
- Condensed Matter Physics
- Materials Science
- High-Dimensional Topology
Background:
- Noether's theorem links physical system symmetries to conserved quantities.
- System topology complexity increases with dimensionality.
- Quasicrystals lack conventional symmetries but possess higher-dimensional symmetry.
Purpose of the Study:
- To discover and characterize four-dimensional (4D) topological charge vectors in quasicrystals.
- To reveal inherent conservation laws associated with these 4D topological properties.
- To demonstrate experimental control over quasicrystal topology via temporal evolution.
Main Methods:
- Theoretical discovery of 4D topological charge vectors.
- Experimental mapping of pentagonal plasmonic quasilattices using phase-resolved and time-domain near-field microscopy.
- Analysis of temporal evolution to tune 2D projections of 4D topologies.
Main Results:
- Identification of topological charge vectors in 4D that dictate real-space topology of 2D quasicrystals.
- Demonstration of continuous tuning of 2D quasicrystal topology through temporal evolution.
- Experimental validation of distinct 4D topological projections in pentagonal plasmonic quasilattices.
Conclusions:
- The discovered 4D topological charge vectors provide a new framework for understanding quasicrystal topology.
- This work establishes a pathway for experimentally probing thermodynamic properties of quasicrystals.
- It opens avenues for investigating topological physics in dimensions beyond four.
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