Dirac Points Embedded in the Continuum

TL;DR

This paper introduces Dirac points embedded in the continuum (DECs), a novel topological state in non-Hermitian systems where band-crossing of bound states in the continuum prevents exceptional points, merging Hermitian and non-Hermitian physics.

Contribution

The work demonstrates theoretically that simultaneous BIC band-crossing can create genuine Hermitian Dirac points within non-Hermitian systems, a new topological entity.

Findings

DECs combine Dirac point physics with BIC properties.

Simultaneous BIC band-crossing prevents EP formation.

DECs exist within the continuum of radiation states.

Abstract

Dirac points (DP) in Hermitian systems play a key role in topological phenomena. Their existence in non-Hermitian systems is then desirable, but the addition of loss or gain transforms DPs into pairs of Exceptional Points (EPs) joined by a Fermi arc, which exhibit interesting but different properties. When the transition to a non-Hermitian system results from the opening of a radiation channel, the system can also support bound states in the continuum (BICs), which are non-radiative resonant states that appear within the band of radiation states. We theoretically show that simultaneous band-crossing of two BICs can prevent the formation of EPs and Fermi arcs, resulting in genuine Hermitian DPs, which are nonetheless embedded in the continuum of radiation states. Dirac points embedded in the continuum (DECs) are a new topological entity that combines the rich physics associated with DPs with the ideal resonant properties of BICs in non-Hermitian systems.