味韦尔半金属中的矩阵密度波与分数电荷点缺陷

中文摘要 AI 辅助

常规的相互作用驱动的韦尔密度波是复标量，支持涡旋线，但没有拓扑稳定的点缺陷。我们表明，两种韦尔味并不只是复制这一序。从矩阵值的节点间相干性出发，局域味对称排斥在密度波扇区内选择无迹伴随凝聚体，而费米子基态能量将其复分量锁定为共线形式 $\mathbfΔ=Φ_0\mathbf{n} e^{iθ}$。由此产生的序参量流形 $(S^2\times S^1)/\mathbb Z_2$ 同时支持单位 hedgehog 和半量子 Alice 弦，它们具有相同的电子质量，该质量使韦尔费米子产生能隙。一个基本 hedgehog 束缚一个可归一化的零模，其空态和占据态在中性时分别携带电荷 $-e/2$ 和 $+e/2$。一个基本 Alice 弦尽管具有 $π$ 相位缠绕，却携带单个手性电子模式，并且将 hedgehog 绕其输运会反转 hedgehog 的缠绕数，$N\rightarrow-N$。因此，味将自发平移对称性破缺转化为点缺陷分数化的途径，并交织了相互作用产生的电子质量的点缺陷和线缺陷扇区。

英文摘要

A conventional interaction-driven Weyl density wave is a complex scalar and supports vortex lines, but no topologically stable point defects. We show that two Weyl flavors do not merely duplicate this order. Starting from the matrix-valued internode coherence, a local flavor-symmetric repulsion selects a traceless adjoint condensate within the density-wave sector, while the fermionic ground-state energy locks its complex components into the collinear form $\mathbfΔ=Φ_0\mathbf{n} e^{iθ}$. The resulting order-parameter manifold, $(S^2\times S^1)/\mathbb Z_2$, supports both unit hedgehogs and half-quantum Alice strings of the same electronic mass that gaps the Weyl fermions. An elementary hedgehog binds a single normalizable zero mode whose empty and occupied sectors carry charges $-e/2$ and $+e/2$ at neutrality. An elementary Alice string carries a single chiral electronic mode despite its $π$ phase winding, and transporting a hedgehog around it reverses the hedgehog winding, $N\rightarrow-N$. Flavor therefore converts spontaneous translation breaking into a route to point-defect fractionalization and intertwines the point- and line-defect sectors of an interaction-generated electronic mass.

发表机构

• Indian Institute of Technology Bombay（印度理工学院孟买分校）

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