Suppression of Extrinsic Anomalous Hall Conductivity in Disordered Parity Anomalous Semimetal

Shi-Hao Bi; Bo Fu; Shun-Qing Shen

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arXiv · 2606.18945

Suppression of Extrinsic Anomalous Hall Conductivity in Disordered Parity Anomalous Semimetal

Shi-Hao Bi·Bo Fu·Shun-Qing Shen

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Abstract

We present an analytical investigation of the extrinsic contributions to the anomalous Hall conductivity in the context of the half-quantized Hall effect observed in disordered parity anomalous semimetal emerged from semi-magnetic topological insulator thin films. The gapless Dirac cone surface state, which embodies the quintessence of the half-quantized Hall effect, exhibits remarkable robustness against disorder scattering. Two primary extrinsic mechanisms, the side-jump and skew-scattering, are deemed irrelevant and make no contributions. These results establish the parity anomalous semimetal as a disorder-resilient quantum phase, thereby providing insights into Dirac fermion physics.

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Shi-Hao Bi, Bo Fu, Shun-Qing Shen. 2026-06-17. Suppression of Extrinsic Anomalous Hall Conductivity in Disordered Parity Anomalous Semimetal. https://arxiv.org/abs/2606.18945

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