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.
Highlights
The study of localized structures with a topological character has several implications in physics
In the bosonic portion of the model, the field χ gives rise to a standard kink, which directly interferes in the profile of the field φ, engendering an internal structure which depends on the choice of the function fðχÞ
The presence of the internal structure in the first model, which is shown in Fig. 1(a), is very much similar to the kinklike profile found before in Ref. [47], in the study of the magnetization in micrometersized Fe20Ni80 material in the presence of geometrical constrictions in the magnetic element
Summary
The study of localized structures with a topological character has several implications in physics. In [27], an interesting procedure is described, in which a first order equation for static kink is solved iteratively, leading to the construction of exact solutions Another line of investigation concerns the use of kinks and domain walls to describe specific properties of magnetic materials. Since in the context of fermion-kink interactions the properties of the fermion field depend on how the scalar field behaves, it is natural that topological solutions with different properties, either in the asymptotic behavior or in the internal structure, induce changes in the distribution of the fermion modes, which has been recently explored in some specific setups in Refs. We discuss possibility to construct electronic devices at the nanometric scale, suggested to identify the new effect captured by the presence of geometric constrictions in nanowires
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