Topological anomalies in 2+1-dimensional Aharonov–Bohm type configurations

Journal article

H. Basmaci, H. O. Cildiroglu
Physica Scripta, vol. 101(33), 2026, p. 335304

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APA Click to copy
Basmaci, H., & Cildiroglu, H. O. (2026). Topological anomalies in 2+1-dimensional Aharonov–Bohm type configurations. Physica Scripta, 101(33), 335304. https://doi.org/10.1088/1402-4896/ae980e

Chicago/Turabian Click to copy
Basmaci, H., and H. O. Cildiroglu. “Topological Anomalies in 2+1-Dimensional Aharonov–Bohm Type Configurations.” Physica Scripta 101, no. 33 (2026): 335304.

MLA Click to copy
Basmaci, H., and H. O. Cildiroglu. “Topological Anomalies in 2+1-Dimensional Aharonov–Bohm Type Configurations.” Physica Scripta, vol. 101, no. 33, 2026, p. 335304, doi:10.1088/1402-4896/ae980e.

BibTeX Click to copy

@article{h2026a,
  title = {Topological anomalies in 2+1-dimensional Aharonov–Bohm type configurations},
  year = {2026},
  issue = {33},
  journal = {Physica Scripta},
  pages = {335304},
  volume = {101},
  doi = {10.1088/1402-4896/ae980e},
  author = {Basmaci, H. and Cildiroglu, H. O.}
}

Abstract

We demonstrate that Dirac fermions in 2+1 dimensions, coupled to Abelian gauge fields in multiply-connected regions, exhibit a topological (parity) anomaly that directly manifests as Aharonov–Bohm (AB) type topological phases. Using the Fujikawa method, we provide a unified 2+1-dimensional framework revealing that this anomaly reproduces both the AB phase and the spin-dependent Aharonov–Casher phase, where spin polarization emerges as an additional degree of freedom. We derive the induced topological currents, establishing that their characteristic divergence-free form provides a direct signature of the topological phases.