Entanglement entropy as a probe of topological phase transitions

• URL: http://arxiv.org/abs/2508.15897v1
• Date: Thu, 21 Aug 2025 18:00:16 GMT
• Title: Entanglement entropy as a probe of topological phase transitions
• Authors: Manish Kumar, Bharadwaj Vedula, Suhas Gangadharaiah, Auditya Sharma,
• Abstract summary: We introduce an exact EE-based framework that captures topological phase transitions even in the presence of disorder.<n>Our results highlight EE as a robust diagnostic tool and a potential bridge between quantum information and condensed matter approaches to topological matter.
• Score: 1.2241845137187872
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Entanglement entropy (EE) provides a powerful probe of quantum phases, yet its role in identifying topological transitions in disordered systems remains underexplored. We introduce an exact EE-based framework that captures topological phase transitions even in the presence of disorder. Specifically, for a class of Su-Schrieffer-Heeger (SSH) model variants, we show that the difference in EE between half-filled and near-half-filled ground states, $\Delta S^{\mathcal{A}}$, vanishes in the topological phase but remains finite in the trivial phase -- a direct consequence of edge-state localization. This behavior persists even in the presence of quasiperiodic or binary disorder. Exact phase boundaries, derived from Lyapunov exponents via transfer matrices, agree closely with numerical results from $\Delta S^{\mathcal{A}}$ and the topological invariant $\mathcal{Q}$, with instances where $\Delta S^{\mathcal{A}}$ outperforms $\mathcal{Q}$. Our results highlight EE as a robust diagnostic tool and a potential bridge between quantum information and condensed matter approaches to topological matter.

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