In disordered variants of the Su-Schrieffer-Heeger model, the entanglement entropy difference ΔS^A between half-filled and near-half-filled ground states is zero in the topological phase and finite in the trivial phase, providing a robust diagnostic that can outperform the topological invariant Q.
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Configuration-space geometry yields universal scaling √Var(r_H) ~ L^{-2β/ν} at criticality for zero-magnetization systems and enables information-geometric detection of phase transitions in TFIM and SSH models.
A discrete, manifestly gauge-independent and quantized formulation of the Kane-Mele Z2 invariant is presented.
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Entanglement entropy as a probe of topological phase transitions
In disordered variants of the Su-Schrieffer-Heeger model, the entanglement entropy difference ΔS^A between half-filled and near-half-filled ground states is zero in the topological phase and finite in the trivial phase, providing a robust diagnostic that can outperform the topological invariant Q.
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On the criticality of the configuration-space statistical geometry
Configuration-space geometry yields universal scaling √Var(r_H) ~ L^{-2β/ν} at criticality for zero-magnetization systems and enables information-geometric detection of phase transitions in TFIM and SSH models.
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A discrete formulation of the Kane-Mele $\mathbb{Z}_2$ invariant
A discrete, manifestly gauge-independent and quantized formulation of the Kane-Mele Z2 invariant is presented.