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

TL;DR

This paper constructs coupled Dirac fermion systems with different Fermi velocities using supersymmetric transformations, revealing unique spectral properties such as level crossing and bound states in the continuum through explicit examples.

Contribution

It introduces a novel supersymmetric framework to couple Dirac fermions with different velocities, highlighting new spectral phenomena.

Findings

Observation of level crossing in coupled Dirac systems

Generation of bound states in the continuum (BICs)

Explicit examples demonstrating spectral peculiarities

Abstract

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.