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

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Cited by in corpus (22)

• Observation of bound states in Lieb photonic lattices
• Metasurfaces with maximum chirality empowered by bound states in the continuum
• Coexistence of quantized and non-quantized geometric phases in quasi-one-dimensional systems without inversion symmetry
• Chiral Flat Bands: Existence, Engineering and Stability
• Polarized bound state in the continuum and resonances with tunable Q-factor in an anisotropic photonic crystal
• Stationary State Degeneracy of Open Quantum Systems with Non-Abelian Symmetries
• Non-Hermitian tight-binding network engineering
• Encrypting Majorana Fermions-qubits as Bound States in the Continuum
• Coexistence of Localized and Extended States in Disordered Systems
• Topological linelike bound states in the continuum
• Helical bound states in the continuum of the edge states in two dimensional topological insulators
• Decay of bound states in the continuum of Majorana fermions induced by vacuum fluctuations: Proposal of qubit technology
• Catching the Bound States in the Continuum of a Phantom Atom in Graphene
• Fano resonances in hexagonal zigzag graphene rings under external magnetic flux
• Anti-$\mathcal{P}\mathcal{T}$ flatbands
• Quantum probe spectroscopy for cold atomic systems
• Floquet-surface bound states in the continuum in a resonantly driven 1D tilted defect-free lattice
• Van Hove bound states in the continuum: Localised subradiant states in finite open lattices
• Helical Topological Superconducting Pairing at Finite Excitation Energies
• Bound states in the continuum are universal under the effect of minimal length
• Compact modes in quasi one dimensional coupled magnetic oscillators
• Uncovering Bound States in the Continuum in InSb nanowire networks