Bound states in disclinated graphene with Coulomb impurities in the presence of a uniform magnetic field

• Published in: Physics letters. A Vol. 378; no. 30-31; pp. 2317 - 2324
• Main Authors: de Souza, J.F.O., de Lima Ribeiro, C.A., Furtado, Claudio
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 13.06.2014
• Subjects: Coulomb Impurity; Dirac equation; Disclinations; Dynamic tests; Eigenvalues; Gapped Graphene; Graphene; Impurities; Magnetic fields; Massive Dirac excitation; Solid state physics; Topological defect; Massive Dirac excitation; Topological defect; Coulomb Impurity; Gapped Graphene
• ISSN: 0375-9601; 1873-2429
• DOI: 10.1016/j.physleta.2014.05.053

•Gapped graphene.•Topological defect.•Impurity in disclinated graphene.•Dirac equation in curved space.•Landau–Coulomb problem. In this contribution, we study the effects caused by an impurity on the quantum dynamics of massive excitations in a disclinated graphene in the presence of an external magnetic field. Within a continuum approach, the problem is mathematically modeled by the definition of a special vector potential containing all the information about the topology and the interacting fields. The presence of disclination is introduced by a term in the Dirac equation that translates the appearance of a phase associated with the transport of the spinor around the apex of the cone. We solve exactly the Dirac equation for this problem and the eigenvalues are obtained. We observe the influence of the disclination on the spectrum of energy and the allowed values of magnetic field.