Chiral bound states in the continuum

Abstract

We present a distinct mechanism for the formation of bound states in the continuum (BICs). In chiral quantum systems there appear zero-energy states in which the wave function has finite amplitude only in one of the subsystems defined by the chiral symmetry. When the system is coupled to leads with a continuum energy band, part of these states remain bound. We derive some algebraic rules for the number of these states depending on the dimensionality and rank of the total Hamiltonian. We examine the transport properties of such systems including the appearance of Fano resonances in some limiting cases. Finally, we discuss experimental setups based on microwave dielectric resonators and atoms in optical lattices where these predictions can be tested.

9 pages, 8 figures. v2: includes results specific to honeycomb lattice; matches published version

References in corpus (4)

• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Engineering Fano resonances in discrete networks
• Dirac Point and Edge States in a Microwave Realization of Tight-Binding Graphene-like Structures
• Localized states in the continuum in low-dimensional systems

Cited by in corpus (7)

• Observation of bound states in Lieb photonic lattices
• Metasurfaces with maximum chirality empowered by bound states in the continuum
• Chiral Flat Bands: Existence, Engineering and Stability
• Polarized bound state in the continuum and resonances with tunable Q-factor in an anisotropic photonic crystal
• Helical bound states in the continuum of the edge states in two dimensional topological insulators
• Catching the Bound States in the Continuum of a Phantom Atom in Graphene
• Compact modes in quasi one dimensional coupled magnetic oscillators