Quantized Stabilizer-R\'enyi Boundary Response across Fermionic SPT Transitions

M. A. Rajabpour

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arXiv · 2608.09749

Quantized Stabilizer-R\'enyi Boundary Response across Fermionic SPT Transitions

M. A. Rajabpour

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Abstract

Open boundaries host symmetry-protected Majorana modes, yet their imprint on the stabilizer R\'enyi entropy is obscured by a nonuniversal volume law. At R\'enyi index $\alpha=1/2$, 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 $|\Delta\omega|\ln 2$, where $\Delta\omega$ 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.

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M. A. Rajabpour. 2026-08-10. Quantized Stabilizer-R\'enyi Boundary Response across Fermionic SPT Transitions. https://arxiv.org/abs/2608.09749

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