Harun Basmacı | Academic Website - Parity anomalies in 2+1-dimensional

Journal article

H. Basmaci, H. Cildiroglu
2025

Cite

APA Click to copy
Basmaci, H., & Cildiroglu, H. (2025). Parity anomalies in 2+1-dimensional Aharonov-Bohm type configurations.

Chicago/Turabian Click to copy
Basmaci, H., and H. Cildiroglu. “Parity Anomalies in 2+1-Dimensional Aharonov-Bohm Type Configurations” (2025).

MLA Click to copy
Basmaci, H., and H. Cildiroglu. Parity Anomalies in 2+1-Dimensional Aharonov-Bohm Type Configurations. 2025.

BibTeX Click to copy

@article{h2025a,
  title = {Parity anomalies in 2+1-dimensional Aharonov-Bohm type configurations},
  year = {2025},
  author = {Basmaci, H. and Cildiroglu, H.}
}

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.