Fermions in the presence of topological structures under geometric constrictions

Abstract

In this work we study modifications of the spectrum of fermions interacting with kinklike structures in two-dimensional spacetime. We consider the Yukawa coupling between fermions and scalar fields that engender nontrivial internal structure and investigate how the fermion spectra change in terms of the parameters that control the kinklike configuration and the Yukawa coupling. We consider models that allow the internal structure of the kinklike solution to respond to the presence of a geometrical constriction, and show the fermion spectra may also appear directly affected by the constriction. The main results are of current interest and may be used to propose the construction of electronic devices capable of engendering new effects at the nanometric scale.

8 pages, 7 figures; v2, new results and references added. To appear in PRD

References in corpus (9)

• Electron fractionalization in two-dimensional graphenelike structures
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• Magnetic domain walls in constrained geometries
• Kinks in a non-linear massive sigma model
• The ${\varphi }^4$ model with the BPS preserving defect
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Cited by in corpus (12)

• Resonance mediated by fermions in kink-antikink collisions
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• Kink scattering in the presence of geometric constrictions
• Manipulating the internal structure of Bloch walls
• Geometrically constrained sine-Gordon field: BPS solitons and their collisions
• Kink Crystal
• Non-topological fractional fermion number in the Jackiw-Rossi model
• Geometrically Constrained Localized Configurations: First-Order Framework and Analytical Solutions
• Fermion bound states from Yukawa coupling with periodic bosonic background
• Self-dual compact gauged baby skyrmions in a continuous medium
• Multimagnetic Monopoles
• Restricted baby Skyrme-Maxwell theory in a magnetic medium: BPS configurations and some properties