Symmetry-protected solitons and bulk-boundary correspondence in generalized Jackiw-Rebbi models.

ABSTRACT: We investigate the roles of symmetry and bulk-boundary correspondence in characterizing topological edge states in generalized Jackiw-Rebbi (JR) models. We show that time-reversal (T), charge-conjugation (C), parity (P), and discrete internal field rotation ([Formula: see text]) symmetries protect and characterize the various types of edge states such as chiral and nonchiral solitons via bulk-boundary correspondence in the presence of the multiple vacua. As two representative models, we consider the JR model composed of a single fermion field having a complex mass and the generalized JR model with two massless but interacting fermion fields. The JR model shows nonchiral solitons with the [Formula: see text] rotation symmetry, whereas it shows chiral solitons with the broken [Formula: see t

SUBMITTER: Oh CG 

PROVIDER: S-EPMC8569174 | biostudies-literature | 2021 Nov

REPOSITORIES: biostudies-literature