Graphene wormhole trapped by external magnetic field

In this work we study the behavior of massless fermions in a graphene wormhole and in the presence of an external magnetic field. The graphene wormhole is made from two sheets of graphene which play the roles of asymptotically flat spaces connected through a carbon nanotube with a zig-zag boundary....

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Bibliographic Details
Main Authors: G.Q. Garcia, P.J. Porfírio, D.C. Moreira, C. Furtado
Format: Article
Language:English
Published: Elsevier 2020-01-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321319303396
Description
Summary:In this work we study the behavior of massless fermions in a graphene wormhole and in the presence of an external magnetic field. The graphene wormhole is made from two sheets of graphene which play the roles of asymptotically flat spaces connected through a carbon nanotube with a zig-zag boundary. We solve the massless Dirac equation within this geometry, analyze the corresponding wave function, and show that the energy spectra of these solutions exhibit behavior similar to Landau levels.
ISSN:0550-3213