AI 中文总结
该研究针对费米子SPT相变，在α=1/2时分离出体扣除后的边界响应，其值与绕数变化相关，可计数改变费米子SPT指数的马约拉纳通道。
AI 中文摘要
开放边界存在对称性保护的马约拉纳模式，但其在稳定子雷尼熵上的印记被非普适体积律所掩盖。在雷尼指数α=1/2处，我们利用精确有限开放链关系、大L Pfaffian计算及直接正权重检验，在自由费米子BDI链中分离出体扣除后的边界响应。在质量反转过程中，该响应趋近于|Δω|ln2，其中Δω为绕数变化。该响应可抵御原始体形变、经检验的局域边界扰动及体对偶破缺。因此，在所研究的体系中，该边界响应可计数改变费米子SPT指数的马约拉纳通道。
英文摘要
Open boundaries host symmetry-protected Majorana modes, yet their imprint on the stabilizer Rényi entropy is obscured by a nonuniversal volume law. At Rényi index $α=1/2$, we isolate a bulk-subtracted boundary response in free-fermion BDI chains using exact finite-open-chain relations, large-$L$ Pfaffian evaluations, and direct positive-weight checks. Across a mass inversion, this response approaches $|Δω|\ln 2$, where $Δω$ is the change in winding number. The response survives primitive bulk deformations, the tested local boundary perturbations, and broken bulk duality. Thus, for the families studied here, the boundary response counts the Majorana channels that change the fermionic SPT index.
Comments6+29 pages and 7 figures
