Enhancing the Hyperpolarizability of Crystals with Quantum Geometry
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866915498428465152 |
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| author | Jankowski, Wojciech J. Slager, Robert-Jan Pizzochero, Michele |
| author_facet | Jankowski, Wojciech J. Slager, Robert-Jan Pizzochero, Michele |
| contents | We demonstrate that higher-order electric susceptibilities in crystals can be enhanced and understood through nontrivial topological invariants and quantum geometry, using one-dimensional $π$-conjugated chains as representative model systems. First, we show that the crystalline-symmetry-protected topology of these chains imposes a lower bound on their quantum metric and hyperpolarizabilities. Second, we employ numerical simulations to reveal the tunability of nonlinear, quantum geometry-driven optical responses in various one-dimensional crystals in which band topology can be externally controlled. Third, we develop a semiclassical picture to deliver an intuitive understanding of these effects. Our findings offer a firm interpretation of otherwise elusive experimental observations of colossal hyperpolarizabilities and establish guidelines for designing topological materials of any dimensionality with enhanced nonlinear optical properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_02660 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Enhancing the Hyperpolarizability of Crystals with Quantum Geometry Jankowski, Wojciech J. Slager, Robert-Jan Pizzochero, Michele Mesoscale and Nanoscale Physics Materials Science Optics Quantum Physics We demonstrate that higher-order electric susceptibilities in crystals can be enhanced and understood through nontrivial topological invariants and quantum geometry, using one-dimensional $π$-conjugated chains as representative model systems. First, we show that the crystalline-symmetry-protected topology of these chains imposes a lower bound on their quantum metric and hyperpolarizabilities. Second, we employ numerical simulations to reveal the tunability of nonlinear, quantum geometry-driven optical responses in various one-dimensional crystals in which band topology can be externally controlled. Third, we develop a semiclassical picture to deliver an intuitive understanding of these effects. Our findings offer a firm interpretation of otherwise elusive experimental observations of colossal hyperpolarizabilities and establish guidelines for designing topological materials of any dimensionality with enhanced nonlinear optical properties. |
| title | Enhancing the Hyperpolarizability of Crystals with Quantum Geometry |
| topic | Mesoscale and Nanoscale Physics Materials Science Optics Quantum Physics |
| url | https://arxiv.org/abs/2502.02660 |