Geometry-induced exceptional rings in a non-Hermitian Dirac model on a cosmic string background
JOURNAL OF MATHEMATICAL PHYSICS, cilt.67, ss.1-17, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 67
- Basım Tarihi: 2026
- Doi Numarası: 10.1063/5.0342905
- Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS
- Derginin Tarandığı İndeksler: Academic Search Ultimate (EBSCO), Scopus, Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest), Aerospace Database, Science Citation Index Expanded (SCI-EXPANDED), INSPEC, MathSciNet, zbMATH
- Sayfa Sayıları: ss.1-17
- Gazi Üniversitesi Adresli: Evet
Özet
symmetric scalar interaction. We show that the competition between topology and complex deformation induces a nontrivial spectral
structure with geometry-controlled shifts and a radial gain/loss profile. A central result is the emergence of a spatially localized exceptional
ring at a finite radius, generated by the competition between conical geometry and non-Hermitian effects. In contrast to conventional exceptional
points in parameter space, this structure is intrinsically realized in real space and marks a transition between distinct dynamical regimes.
The radial Dirac system is shown to admit an exact decoupling into Schrödinger type equations associated with biconfluent Heun structures.
These results establish a direct link between spacetime topology and non-Hermitian spectral properties.