An analytical solution for the graphene electronic spectrum in the presence of external fields and confinement potential

Cagatay B., Ocak S.

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, vol.30, no.11, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 11
  • Publication Date: 2016
  • Doi Number: 10.1142/s0217979216500624
  • Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Graphene, Dirac equation, Landau levels, DIRAC FERMIONS, GRAPHITE, CARBON, GAS
  • Gazi University Affiliated: Yes

Abstract

An algebraic solution of (2+1)-dimensional Dirac equation describing the massless Dirac fermions in the presence of both magnetic field perpendicular to the graphene plane and in-plane homogeneous electric field together with a quadratic confinement potential is investigated. The associated energy eigenvalues are obtained within the framework of unitary transformation scheme. It is shown that the decreasing quadratic confinement potential strength leads to the enhancement of the Landau levels.