# Fermion bound states in geometrically deformed backgrounds

Bazeia, D. (Departamento de Física, Universidade Federal da Paraíba, 58051-970, João Pessoa, PB, Brazil) ; Mohammadi, A. (Departamento de Física, Universidade Federal de Pernambuco, 52171-900, Recife, PE, Brazil) ; Moreira, D. C. (Unidade Acadêmica de Física, Universidade Federal de Campina Grande, 58109-970 Campina Grande, PB, Brazil)

02 January 2019

Abstract: This work deals with the behavior of fermions in the background of kinklike structures in the two-dimensional spacetime. The kinklike structures appear from bosonic scalar field models that engender distinct profiles and interact with the fermion fields via the standard Yukawa coupling. We first consider two models that engender parity symmetry, one leading to the exclusion of fermion bound states, and the other to the inclusion of bound states, when the parameter that controls the bosonic structure varies from zero to unity. We then investigate a third model where the kinklike solution explicitly breaks parity symmetry, leading to fermion bound states that are spatially asymmetric.

Published in: Chinese Phys. C 43 (2018) 013101