Enhancing the hyperpolarizability of crystals with quantum geometry

• URL: http://arxiv.org/abs/2502.02660v1
• Date: Tue, 04 Feb 2025 19:01:56 GMT
• Title: Enhancing the hyperpolarizability of crystals with quantum geometry
• Authors: Wojciech J. Jankowski, Robert-Jan Slager, Michele Pizzochero,
• Abstract summary: We show that higher-order electric susceptibilities in crystals can be enhanced and understood through nontrivial topological invariants and quantum geometry. We employ numerical simulations to reveal the tunability of non-linear, quantum geometry-driven optical responses in various one-dimensional crystals.
• Score: 1.2289361708127877
• License:
• Abstract: We demonstrate that higher-order electric susceptibilities in crystals can be enhanced and understood through nontrivial topological invariants and quantum geometry, using one-dimensional $\pi$-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 non-linear, 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 non-linear optical properties.

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