Dirac-Weyl equation on a hyperbolic graphene surface under magnetic fields
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, cilt.118, 2020 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 118
- Basım Tarihi: 2020
- Doi Numarası: 10.1016/j.physe.2019.113926
- Dergi Adı: PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, PASCAL, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC
- Anahtar Kelimeler: Factorization method, Dirac-Weyl equation, Curved space, Magnetic field, ELECTRONIC-PROPERTIES, CHARGED-PARTICLE, STATES, PLANE
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Üniversitesi Adresli: Evet
Özet
In this paper the Dirac-Weyl equation on a hyperbolic surface of graphene under magnetic fields is considered. In order to solve this equation analytically for some cases, we will deal with vector potentials symmetric under rotations around the z axis. Instead of using tetrads we will get this equation from a more intuitive point of view by restriction from the Dirac-Weyl equation of an ambient space. The eigenvalues and corresponding eigen-functions for some magnetic fields are found by means of the factorization method. The existence of a zero energy ground level and its degeneracy is also analysed in relation to the Aharonov-Casher theorem valid for flat graphene.