AI 中文总结
研究磁纹理缠绕对相互作用p波磁线费米子奇偶性的影响，通过密度矩阵重整化群模拟等方法，发现其能改变多体谱，提供拓扑配对探测方法，且全局奇偶性约束可反转相邻相位缠绕分支的费米子奇偶性。
AI 中文摘要
共面磁螺旋在局部上映射到均匀自旋轨道耦合线上，但在环上，旋转的自旋框架可以改变电子边界条件。我们逐级证明，在每个固定粒子数扇区中，偶数和奇数纹理缠绕施加的边界相位相差单电子通量周期的一半。将缠绕改变一个也会使物理间距与周长成反比变化；对称比较消除了这种领先的间距校正。在数守恒拓扑相中，全局奇偶性约束会反转相邻相位缠绕分支的费米子奇偶性分配。密度矩阵重整化群模拟显示了这种反转，支持与无隙电荷模式共存的伊辛转变，并将有限尺寸奇偶性分裂与独立计算的电荷刚度相关联。因此，磁纹理缠绕通过不由局部能带色散决定的全局边界条件改变多体谱，提供了一种封闭几何、数守恒的拓扑配对探测方法
英文摘要
Coplanar magnetic spirals map locally onto uniform spin--orbit-coupled wires, but on a ring the rotating spin frame can change the electronic boundary condition. We prove, level by level in every fixed-particle-number sector, that even and odd texture windings impose boundary phases separated by half the single-electron flux period. Changing the winding by one also changes the physical pitch in inverse proportion to the circumference; a symmetric comparison removes this leading pitch correction. In the number-conserving topological phase, a global parity constraint then reverses the fermion-parity assignment of neighboring phase-winding branches. Density-matrix renormalization-group simulations show this reversal, support an Ising transition coexisting with a gapless charge mode, and relate the finite-size parity splitting to an independently calculated charge stiffness. Magnetic-texture winding thus changes the many-body spectrum through a global boundary condition that is not determined by the local band dispersion, providing a closed-geometry, number-conserving probe of topological pairing.
