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Unidirectional light propagation at exceptional points

https://doi.org/10.1038/nmat3576
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21/21 checkable references clean · checked 2026-08-22

Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.

The 21 checked references that resolve
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Controlling Electromagnetic Fields
resolves10.1126/science.1133628
Metamaterial Electromagnetic Cloak at Microwave Frequencies
resolves10.1038/nmat2461
An optical cloak made of dielectrics
resolves10.1038/nphys1515
Observation of parity–time symmetry in optics
resolves10.1038/nature11298
Parity–time synthetic photonic lattices
resolves10.1038/nmat3495
Experimental demonstration of a unidirectional reflectionless parity-time metamaterial at optical frequencies
resolves10.1103/PhysRevLett.58.2059
Inhibited Spontaneous Emission in Solid-State Physics and Electronics
resolves10.1103/PhysRevLett.58.2486
Strong localization of photons in certain disordered dielectric superlattices
resolves10.1103/PhysRevLett.96.127404
Self-Tuned Quantum Dot Gain in Photonic Crystal Lasers
resolves10.1103/PhysRevLett.104.087401
Photonic Band Structure of Dispersive Metamaterials Formulated as a Hermitian Eigenvalue Problem
resolves10.1103/PhysRevLett.100.030402
Optical Solitons in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:math>Periodic Potentials
resolves10.1103/PhysRevLett.100.103904
Beam Dynamics in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi mathvariant="script">P</mml:mi> <mml:mi mathvariant="script">T</mml:mi> </mml:math> Symmetric Optical Lattices
resolves10.1103/PhysRevLett.102.220402
Spectral Singularities of Complex Scattering Potentials and Infinite Reflection and Transmission Coefficients at Real Energies
resolves10.1103/PhysRevLett.103.093902
Observation of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi mathvariant="script">P</mml:mi> <mml:mi mathvariant="script">T</mml:mi> </mml:math> -Symmetry Breaking in Complex Optical Potentials
resolves10.1016/S0375-9601(00)00512-0
sl(2, ) as a complex Lie algebra and the associated non-Hermitian Hamiltonians with real eigenvalues
resolves10.1103/PhysRevLett.89.270401
Complex Extension of Quantum Mechanics
resolves10.1103/PhysRevLett.80.5243
Real Spectra in Non-Hermitian Hamiltonians Having <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi mathvariant="bold-script">P</mml:mi> <mml:mi mathvariant="bold-script">T</mml:mi> </mml:math> Symmetry
resolves10.1088/0305-4470/37/6/034
Exceptional points of non-Hermitian operators
resolves10.1126/science.1206038
Nonreciprocal Light Propagation in a Silicon Photonic Circuit
resolves10.1126/science.1216682
Comment on “Nonreciprocal Light Propagation in a Silicon Photonic Circuit”
resolves10.1126/science.1213954
Response to Comment on “Nonreciprocal Light Propagation in a Silicon Photonic Circuit”
What this badge says. CiteStamped means the CHECKABLE references of this work were clean at the dated check: each resolved to a known work in a public registry, and none carried a retraction notice at that time. It says nothing about the quality, findings, or importance of the work itself, and nothing about references deposited without a DOI.

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