Fermions in the presence of topological structures under geometric constrictions

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.

Automated summary

This work studies modifications of fermion spectra interacting with kinklike structures in two-dimensional spacetime. The fermions are considered to have Yukawa couplings with scalar fields, and the results show the spectra change with parameters controlling the kinklike configuration and Yukawa coupling. The internal structure of the kinklike solution can respond to geometrical constraints, affecting the fermion spectra and potentially leading to new effects at the nanometric scale in electronic devices.