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arXiv · 2511.15765

Parity anomalies in 2+1-dimensional Aharonov-Bohm type configurations

Harun Basmaci·Hasan Ozgur Cildiroglu
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Abstract

We demonstrate that Dirac fermions in 2+1 dimensions, coupled to Abelian gauge fields in multiply-connected regions, exhibit a parity anomaly that directly manifests as Aharonov-Bohm (AB) type topological phases. Using the Fujikawa method, we show that this anomaly reproduces both the AB phase and the spin-dependent Aharonov-Casher (AC) phase. We explicitly calculate the induced topological currents, establishing that their characteristic divergence-free form provides a direct signature of this parity-anomalous topological phase.

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Harun Basmaci, Hasan Ozgur Cildiroglu. 2025-11-19. Parity anomalies in 2+1-dimensional Aharonov-Bohm type configurations. https://arxiv.org/abs/2511.15765

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