Graphene wormhole trapped by external magnetic field

Abstract

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 that play the roles of asymptotically flat spaces connected through a carbon nanotube with a zig-zag boundary. We solve the massless Dirac equation in this geometry and analyze its wave function. We show that the energy spectra of these solutions exhibit similar behavior to Landau levels.

arXiv commentAccepted version for publication in NPB

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Cited by in corpus (10)

• Constructing spherically symmetric Einstein-Dirac systems with multiple spinors: Ansatz, wormholes and other analytical solutions
• On the Klein-Gordon oscillators in Eddington-inspired Born-Infeld gravity global monopole spacetime and a Wu-Yang magnetic monopole
• Scattering of charged fermion to two-dimensional wormhole with constant axial magnetic flux
• Boosting thermodynamic performance by bending space-time
• Quantum Holonomies in Graphene Wormholes
• Persistent Friedel oscillations in Graphene due to a weak magnetic field
• Casimir Wormholes in (2+1) Dimensions with Applications to the Graphene
• KG-oscillators in Eddington-inspired Born-Infeld gravity: Wu-Yang magnetic monopole and Ricci scalar curvature effects
• Redshift as a stretching factor in rotating graphene wormholes
• Rotation effects on the graphene wormhole energy levels