Pseudo-Spin Polarized One-Way Elastic Wave Eigenstates in One-Dimensional Phononic Superlattices
We investigate a one-dimensional discrete binary elastic superlattice bridging continuous models of superlattices that showcase a one-way propagation character, as well as the discrete elastic Su–Schrieffer–Heeger model, which does not exhibit this character. By considering Bloch wave solutions of t...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-01-01
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| Series: | Crystals |
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| Online Access: | https://www.mdpi.com/2073-4352/14/1/92 |
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| author | Pierre A. Deymier Keith Runge Alexander Khanikaev Andrea Alù |
| author_facet | Pierre A. Deymier Keith Runge Alexander Khanikaev Andrea Alù |
| author_sort | Pierre A. Deymier |
| collection | DOAJ |
| description | We investigate a one-dimensional discrete binary elastic superlattice bridging continuous models of superlattices that showcase a one-way propagation character, as well as the discrete elastic Su–Schrieffer–Heeger model, which does not exhibit this character. By considering Bloch wave solutions of the superlattice wave equation, we demonstrate conditions supporting elastic eigenmodes that do not satisfy the translational invariance of Bloch waves over the entire Brillouin zone, unless their amplitude vanishes for a certain wave number. These modes are characterized by a pseudo-spin and occur only on one side of the Brillouin zone for a given spin, leading to spin-selective one-way wave propagation. We demonstrate how these features result from the interplay of the translational invariance of Bloch waves, pseudo-spins, and a Fabry–Pérot resonance condition in the superlattice unit cell. |
| first_indexed | 2024-03-08T09:55:08Z |
| format | Article |
| id | doaj.art-aecbb2075c4f4cb59ee9434e3827b5fb |
| institution | Directory Open Access Journal |
| issn | 2073-4352 |
| language | English |
| last_indexed | 2024-03-08T09:55:08Z |
| publishDate | 2024-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Crystals |
| spelling | doaj.art-aecbb2075c4f4cb59ee9434e3827b5fb2024-01-29T13:51:33ZengMDPI AGCrystals2073-43522024-01-011419210.3390/cryst14010092Pseudo-Spin Polarized One-Way Elastic Wave Eigenstates in One-Dimensional Phononic SuperlatticesPierre A. Deymier0Keith Runge1Alexander Khanikaev2Andrea Alù3Department of Materials Science and Engineering, University of Arizona, Tucson, AZ 85721, USADepartment of Materials Science and Engineering, University of Arizona, Tucson, AZ 85721, USADepartment of Electrical Engineering, The City College of New York, New York, NY 10031, USAPhysics Program, Graduate Center, City University of New York, New York, NY 10016, USAWe investigate a one-dimensional discrete binary elastic superlattice bridging continuous models of superlattices that showcase a one-way propagation character, as well as the discrete elastic Su–Schrieffer–Heeger model, which does not exhibit this character. By considering Bloch wave solutions of the superlattice wave equation, we demonstrate conditions supporting elastic eigenmodes that do not satisfy the translational invariance of Bloch waves over the entire Brillouin zone, unless their amplitude vanishes for a certain wave number. These modes are characterized by a pseudo-spin and occur only on one side of the Brillouin zone for a given spin, leading to spin-selective one-way wave propagation. We demonstrate how these features result from the interplay of the translational invariance of Bloch waves, pseudo-spins, and a Fabry–Pérot resonance condition in the superlattice unit cell.https://www.mdpi.com/2073-4352/14/1/92phononic superlatticepseudo spinone-way propagationtopological acoustics |
| spellingShingle | Pierre A. Deymier Keith Runge Alexander Khanikaev Andrea Alù Pseudo-Spin Polarized One-Way Elastic Wave Eigenstates in One-Dimensional Phononic Superlattices Crystals phononic superlattice pseudo spin one-way propagation topological acoustics |
| title | Pseudo-Spin Polarized One-Way Elastic Wave Eigenstates in One-Dimensional Phononic Superlattices |
| title_full | Pseudo-Spin Polarized One-Way Elastic Wave Eigenstates in One-Dimensional Phononic Superlattices |
| title_fullStr | Pseudo-Spin Polarized One-Way Elastic Wave Eigenstates in One-Dimensional Phononic Superlattices |
| title_full_unstemmed | Pseudo-Spin Polarized One-Way Elastic Wave Eigenstates in One-Dimensional Phononic Superlattices |
| title_short | Pseudo-Spin Polarized One-Way Elastic Wave Eigenstates in One-Dimensional Phononic Superlattices |
| title_sort | pseudo spin polarized one way elastic wave eigenstates in one dimensional phononic superlattices |
| topic | phononic superlattice pseudo spin one-way propagation topological acoustics |
| url | https://www.mdpi.com/2073-4352/14/1/92 |
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