Second-order topological modes in two-dimensional continuous media
We present a symmetry-based scheme to create zero-dimensional (0D) second-order topological modes in continuous two-dimensional (2D) systems. We show that a metamaterial with a p6m-symmetric pattern exhibits two Dirac cones, which can be gapped in two distinct ways by deforming the pattern. Combinin...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.L032029 |
| _version_ | 1827285752754470912 |
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| author | Jan Košata Oded Zilberberg |
| author_facet | Jan Košata Oded Zilberberg |
| author_sort | Jan Košata |
| collection | DOAJ |
| description | We present a symmetry-based scheme to create zero-dimensional (0D) second-order topological modes in continuous two-dimensional (2D) systems. We show that a metamaterial with a 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 the 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. |
| first_indexed | 2024-04-24T10:20:00Z |
| format | Article |
| id | doaj.art-f7a760ca54f84eaeab48ad329ea86b4e |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:20:00Z |
| publishDate | 2021-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-f7a760ca54f84eaeab48ad329ea86b4e2024-04-12T17:12:23ZengAmerican Physical SocietyPhysical Review Research2643-15642021-07-0133L03202910.1103/PhysRevResearch.3.L032029Second-order topological modes in two-dimensional continuous mediaJan KošataOded ZilberbergWe present a symmetry-based scheme to create zero-dimensional (0D) second-order topological modes in continuous two-dimensional (2D) systems. We show that a metamaterial with a 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 the 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.http://doi.org/10.1103/PhysRevResearch.3.L032029 |
| spellingShingle | Jan Košata Oded Zilberberg Second-order topological modes in two-dimensional continuous media Physical Review Research |
| title | Second-order topological modes in two-dimensional continuous media |
| title_full | Second-order topological modes in two-dimensional continuous media |
| title_fullStr | Second-order topological modes in two-dimensional continuous media |
| title_full_unstemmed | Second-order topological modes in two-dimensional continuous media |
| title_short | Second-order topological modes in two-dimensional continuous media |
| title_sort | second order topological modes in two dimensional continuous media |
| url | http://doi.org/10.1103/PhysRevResearch.3.L032029 |
| work_keys_str_mv | AT jankosata secondordertopologicalmodesintwodimensionalcontinuousmedia AT odedzilberberg secondordertopologicalmodesintwodimensionalcontinuousmedia |