发表机构
Tsinghua University; The University of Hong Kong; Suzhou Laboratory; Materials Innovation Institute for Life Sciences and Energy (MILES), HKUSIRI; Quantum Science Center of Guangdong-Hong Kong-Macao Great Bay Area（清华大学; 香港大学; 苏州实验室; 香港大学科创研究院生命与能源材料创新研究院（MILES）; 粤港澳大湾区量子科学中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究揭示赝自旋-1狄拉克系统中贝里曲率纹理的面内极性，通过动量空间极性与质量梯度的耦合实现几何选择规则，并实验验证了可编程的赝自旋霍尔输运，为可重构波路由和量子应用提供新工具。
AI 中文摘要
赝自旋-1狄拉克系统展现出与传统狄拉克锥不同的独特物理，如平带交叉和非阿贝尔特性，然而其拓扑输运性质在无源、时间反演不变的设置中在很大程度上尚未被开发。在这里，我们揭示了赝自旋-1狄拉克哈密顿量中贝里曲率纹理的面内极性，这是一种先前未被探索的几何自由度，编码在贝里曲率的符号分辨分布中，尽管净贝里通量为零，并揭示了一种新的机制，即贝里曲率在系统中诱导赝自旋霍尔行为。我们展示了这种动量空间极性与实空间质量梯度之间的定向耦合控制着一个几何选择规则，该规则决定了无间隙赝自旋霍尔模式的出现。通过设计四站点平面晶格的胞内耦合，我们独立地编程贝里曲率极性和空间质量梯度，而不改变宿主晶格对称性。声学实验直接证实了这一方向选择规则：反转质量梯度会关闭或重新打开色散间隙，而赝自旋选择性源激发沿任意指定轴发射反向传播的赝自旋分支。我们的工作确立了量子几何极性作为可重构波路由、传感和高容量量子应用的多功能工具。
英文摘要
Pseudospin-1 Dirac systems exhibit unique physics distinct from conventional Dirac cones, such as flat-band crossings and non-Abelian characteristics, yet their topological transport properties have remained largely untapped in passive, time-reversal-invariant settings. Here we uncover an in-plane polarity of the Berry-curvature texture in a pseudospin-1 Dirac Hamiltonian, a previously unexplored geometric degree of freedom encoded in the sign-resolved distribution of Berry curvature despite zero net Berry flux, and reveal a new mechanics where Berry curvature induce pseudospin Hall behaviors in a system. We show that the oriented coupling between this momentum-space polarity and a real-space mass gradient governs a geometric selection rule that dictates the emergence of gapless pseudospin Hall modes. By engineering the intracell couplings of a four-site planar lattice, we independently program the Berry-curvature polarity and the spatial mass gradient without altering the host lattice symmetry. Acoustic experiments directly confirm this directional selection rule: reversing the mass gradient closes or reopens the dispersive gap, while pseudospin-selective source excitation launches counterpropagating pseudospin branches along arbitrary prescribed axes. Our work establishes quantum geometric polarity as a versatile tool for reconfigurable wave routing, sensing, and high-capacity quantum applications.
