Dirac field in the background of a planar defect

Abstract

We study massless Dirac fermions in the background of a specific planar topologically nontrivial configuration in the three-dimensional spacetime. The results show the presence of massive bound states, phase shifts and the consequent differential cross section for the scattering of fermions in the weak coupling regime. Despite the nontrivial topology of the background field, no fermionic zero mode is found.

9 pages, 3 figures

References in corpus (4)

• The electronic properties of graphene
• Remarks on bell-shaped lumps: stability and fermionic modes
• Casimir Energy for a Coupled Fermion-Kink System and its stability
• Optical Dichroism by Nonlinear Excitations in Graphene Nanoribbons

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