AI 中文总结
该研究发现磁涡旋可实现埃利斯虫洞的外部空间几何，其特征可通过实空间电子偏折等实验探测，为量子材料中涌现几何的研究提供了新方法。
AI 中文摘要
与磁结构的强耦合使电子在涌现的弯曲空间中传播。我们证明，基本涡旋实现了埃利斯虫洞的外部空间几何：由拓扑荷和洪德交换确定半径的超静喉，在短距离处被微观核截断。由此产生两个可分离的特征：电子偏折坍缩为仅由涡旋缠绕数和交换耦合决定的单一埃利斯曲线，而自旋贝里相位产生由缠绕数奇偶性控制开关的半通量阿哈罗诺夫－玻姆响应。该相同度量可在人工设计的蜂窝晶格中模拟，其中谷对称波包响应遵循预测的外部测地线。这些特征可通过实空间电子偏折和散射观测，为量子材料和人工晶格中的涌现几何与贝里通量提供实验上可区分的探测手段。磁涡旋因此将拓扑缺陷转化为量子材料和人工晶格中电子的可调弯曲空间透镜。
英文摘要
Strong coupling to a magnetic texture makes an electron propagate through an emergent curved space. We show that an elementary vortex realizes the exterior spatial geometry of an Ellis wormhole: an ultrastatic throat with radius fixed by the topological charge and Hund exchange, cut off at short distances by the microscopic core. Two separable signatures follow directly: the electron deflection collapses onto a single Ellis curve governed by the vortex winding and exchange coupling, while the spin Berry phase produces a half-flux Aharonov--Bohm response switched on and off by winding parity. The same metric can be emulated in a designer honeycomb lattice, where the valley-symmetrized wave-packet response follows the predicted exterior geodesic. These signatures are accessible through real-space electron deflection and scattering, providing experimentally distinct probes of the emergent geometry and Berry flux. The magnetic vortex thus turns a topological defect into a tunable curved-space lens for electrons in quantum materials and designer lattices.
Comments6 pages + 6 pages of supplementary material
