AI 中文总结
本文提出自旋键理论，统一了非相对论自旋分裂与自旋轨道纹理的相关现象，揭示了非对易自旋键结构，为无场自旋量子比特等应用奠定基础。
AI 中文摘要
净磁化强度为零的磁序可产生非相对论自旋分裂能带，大致分为偶宇称的反常磁体（altermagnets）和奇宇称的p波磁体。本文提出一种自旋键理论，将这些看似不同的现象统一到单一代数框架中。研究表明，非相对论自旋纹理从根本上由电子键的两个分量控制：幺正自旋相位和厄米自旋振幅。幺正部分产生奇宇称p波和类自旋轨道的涌现纹理，而厄米部分产生偶宇称自旋场，包括均匀Γ分裂和键结构的反常磁体极限。除了统一已知相，该理论还揭示了当幺正与厄米部分不对易时出现的混合非对易区域，展现了潜在的非对易自旋键结构。该区域产生非共面自旋纹理，其特征是动量依赖的横向自旋极化，为自旋角分辨光电子能谱提供了直接光谱指纹。此外，研究证实这种合成自旋轨道耦合可通过几何控制键部分的非对易性进行动态调控，该理论为这种调控提供了微观基础，为包括无场自旋量子比特在内的高级应用铺平了道路。
英文摘要
Magnetic order with vanishing net magnetization can produce non-relativistic spin-split bands, broadly categorized into even-parity altermagnets and odd-parity \(p\)-wave magnets. Here, we introduce a spin-bond theory that unifies these seemingly distinct phenomena into a single algebraic framework. We demonstrate that non-relativistic spin textures are fundamentally governed by two components of the electronic bond: unitary spin phases and Hermitian spin amplitudes. The unitary sector generates odd-parity p-wave and emergent spin-orbit-like textures, while the Hermitian sector generates even-parity spin fields, including the uniform \(Γ\)-split and bond-structured altermagnetic limits. Beyond unifying known phases, our theory uncovers a mixed non-commuting regime that emerges when the unitary and Hermitian sectors fail to commute, revealing an underlying non-commuting spin-bond structure. This regime generates a non-coplanar spin texture characterized by an even-in-momentum transverse spin polarization, providing a direct spectroscopic fingerprint for spin- and angle-resolved photoemission spectroscopy. Furthermore, we establish that this synthetic spin-orbit coupling can be dynamically tuned by geometrically controlling the non-commutation of the bond sectors. By providing a microscopic foundation for such tuning, our theory paves the way for advanced applications, including field-free spin qubits.
