二维材料中自旋纹理对高次谐波产生的标志性特征
Hallmarks of spin textures for high-harmonic generation in two-dimensional materials
AI总结：
研究二维非中心对称材料中自旋纹理和贝里曲率对高次谐波产生（特别是偶数阶谐波）的影响，发现有限偶数阶谐波需要自旋纹理中二重旋转对称性破缺以及时间反演不变系统中非平凡贝里曲率，并揭示了高次谐波对动态旋转对称性破缺的敏感性。
摘要：
自旋-轨道耦合和量子几何是现代凝聚态物理的基本方面，它们在动量空间中的主要表现是自旋纹理和贝里曲率。在这项工作中，我们研究了它们与二维非中心对称材料中高次谐波产生（HHG）的相互作用，重点放在偶数阶谐波上。我们的分析揭示，有限偶数阶谐波的出现必然要求自旋纹理中二重旋转对称性破缺，以及在具有时间反演不变性的系统中存在非平凡贝里曲率。这种对称性破缺可以出现在各种自由度上，并通过自旋-轨道相互作用影响自旋纹理和光学响应。我们还表明，HHG 对动态旋转对称性破缺特别敏感，因为即使高阶分量也可以通过时间相关的对称性破缺进行调制。这些发现强调了 HHG 作为探索具有旋转对称性破缺的电子相以及二维材料中相关相变工具的潜力，并为设计依赖于对称性的非线性光学现象提供了新的视角。
英文摘要：
Spin-orbit coupling and quantum geometry are fundamental aspects in modern condensed matter physics, with their primary manifestations in momentum space being spin textures and Berry curvature. In this work, we investigate their interplay with high-harmonic generation (HHG) in two-dimensional non-centrosymmetric materials, with an emphasis on even-order harmonics. Our analysis reveals that the emergence of finite even-order harmonics necessarily requires a broken twofold rotational symmetry in the spin texture, as well as a non-trivial Berry curvature in systems with time-reversal invariance. This symmetry breaking can arise across various degrees of freedom and impact both spin textures and optical response via spin-orbit interactions. We also show that HHG is particularly sensitive to dynamical rotational-symmetry breaking, as even high-order components can be modulated by a time-dependent symmetry breaking. These findings underscore the potential of HHG as a tool for exploring electronic phases with broken rotational symmetry, as well as the associated phase transitions in two-dimensional materials, and provide novel perspectives for designing symmetry-dependent nonlinear optical phenomena.
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