Coupled system of Dirac fermions with different Fermi velocities via composites of SUSY operators

0559101 - ÚJF 2023 RIV NL eng J - Journal Article
Jakubský, Vít - Zelaya, Kevin
Coupled system of Dirac fermions with different Fermi velocities via composites of SUSY operators.
Physics Letters. A. Roč. 435, MAY (2022), č. článku 128053. ISSN 0375-9601. E-ISSN 1873-2429
R&D Projects: GA ČR GA19-07117S; GA MŠMT EF18_053/0017163
Institutional support: RVO:61389005
Keywords : Dirac fermions * Dirac materials * Coupled systems * Supersymmetry * Fermi velocity * Bound states in the continuum
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 2.6, year: 2022
Method of publishing: Limited access
https://doi.org/10.1016/j.physleta.2022.128053

We use the framework of supersymmetric transformations in the construction of coupled systems of Dirac fermions. Its energy operator is a composite of the generators of the associated superalgebra, and the two coupled Dirac fermions acquire different Fermi velocities. We discuss in detail the peculiar spectral properties of the new system. The emergent phenomena like level crossing or generation of bound states in the continuum (BICs) are illustrated in two explicit examples.
Permanent Link: https://hdl.handle.net/11104/0332520