Exact analytic solutions for a Dirac electron moving in graphene under magnetic fields
JOURNAL OF PHYSICS-CONDENSED MATTER, vol.21, no.45, 2009 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 21 Issue: 45
- Publication Date: 2009
- Doi Number: 10.1088/0953-8984/21/45/455305
- Journal Name: JOURNAL OF PHYSICS-CONDENSED MATTER
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Ankara University Affiliated: Yes
Abstract
Exact analytical solutions for the bound states of a graphene Dirac electron in various magnetic fields with translational symmetry are obtained. In order to solve the time-independent Dirac-Weyl equation the factorization method used in supersymmetric quantum mechanics is adapted to this problem. The behavior of the discrete spectrum, probability and current densities are discussed.