Multiple non-Hermitian phase transitions on a quantum torus surface

Lourenco J. A. S., Para Y., Furtado J.

PHYSICAL REVIEW B, cilt.110, sa.20, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 110 Sayı: 20
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1103/physrevb.110.205420
  • Dergi Adı: PHYSICAL REVIEW B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Compendex, INSPEC, zbMATH, Nature Index
  • Gazi Üniversitesi Adresli: Hayır

Özet

In this paper, we investigate the emergence of non-Hermitian phase transitions on quantum torus surfaces. We consider a single fermion whose dynamics are governed by the Dirac equation confined to move on a quantum torus surface. The effects of the geometry are taken into account using the tetrad formalism and the spin connection. The Dirac equation gives rise to two coupled first-order differential equations for each spinor component. The eigenvalues and eigenfunctions for each spinor component are computed numerically, and the non-Hermitian phase transitions are investigated in terms of the geometric features of the torus and the magnitude of the imaginary component of the mass.