Topological anomalies in 2+1-dimensional Aharonov–Bohm type configurations
Physica Scripta, cilt.101, sa.33, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 101 Sayı: 33
- Basım Tarihi: 2026
- Doi Numarası: 10.1088/1402-4896/ae980e
- Dergi Adı: Physica Scripta
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Chemical Abstracts Core, Compendex, INSPEC, zbMATH
- Anahtar Kelimeler: parity anomalies, topological anomalies, topological phases
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Üniversitesi Adresli: Evet
Özet
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.