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Open AccessJournal ArticleDOI

Photonic topological insulators

TLDR
It is shown that metacrystals-superlattices of metamaterials with judiciously designed properties-provide a platform for designing topologically non-trivial photonic states, similar to those identified for condensed-matter topological insulators.
Abstract
Recent progress in understanding the topological properties of condensed matter has led to the discovery of time-reversal-invariant topological insulators. A remarkable and useful property of these materials is that they support unidirectional spin-polarized propagation at their surfaces. Unfortunately topological insulators are rare among solid-state materials. Using suitably designed electromagnetic media (metamaterials) we theoretically demonstrate a photonic analogue of a topological insulator. We show that metacrystals-superlattices of metamaterials with judiciously designed properties-provide a platform for designing topologically non-trivial photonic states, similar to those that have been identified for condensed-matter topological insulators. The interfaces of the metacrystals support helical edge states that exhibit spin-polarized one-way propagation of photons, robust against disorder. Our results demonstrate the possibility of attaining one-way photon transport without application of external magnetic fields or breaking of time-reversal symmetry. Such spin-polarized one-way transport enables exotic spin-cloaked photon sources that do not obscure each other.

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DissertationDOI

Nonlinear dynamics in chiral torsional metamaterials

Mingkai Liu
TL;DR: In this paper, an accurate and efficient model based on the free space Green's function under the eigenmode approximation is developed for the study of chiral metamaterials, in particular the optomechanical properties and nonlinear effects that arise from the coupling between electromagnetic and elastic degrees of freedom.
Journal ArticleDOI

Topologically protected pseudospins in 2D spring-mass system

TL;DR: In this article, a lattice, with constituent masses and spring constants, was considered as a model system for topological matter, and the modal displacement fields of the mass-spring lattice were superposed so to yield pseudospin fields, with positive or negative group velocity.
Journal ArticleDOI

Dissipation-induced topological phase transition and periodic-driving-induced photonic topological state transfer in a small optomechanical lattice

TL;DR: In this paper, the authors proposed a scheme to investigate the topological phase transition and topological state transfer based on the small optomechanical lattice under the realistic parameters regime.
Journal ArticleDOI

Optimization and robustness of the topological corner state in second-order topological photonic crystals

TL;DR: In this paper, the robustness of the topological corner state in the second-order topological photonic crystal with the 0D corner state was investigated both in theory and in experiment.
Journal ArticleDOI

Topological edge states in Rashba-Dresselhaus spin-orbit-coupled atoms in a Zeeman lattice

TL;DR: In this article, the impact of spin-orbit coupling on the existence and properties of topological edge states of cold neutral atoms and Bose-Einstein condensates loaded in honeycomb Zeeman lattices was investigated.
References
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Journal ArticleDOI

Colloquium: Topological insulators

TL;DR: In this paper, the theoretical foundation for topological insulators and superconductors is reviewed and recent experiments are described in which the signatures of topologically insulators have been observed.
Journal ArticleDOI

Topological insulators and superconductors

TL;DR: Topological superconductors are new states of quantum matter which cannot be adiabatically connected to conventional insulators and semiconductors and are characterized by a full insulating gap in the bulk and gapless edge or surface states which are protected by time reversal symmetry.
Journal ArticleDOI

Negative Refraction Makes a Perfect Lens

TL;DR: The authors' simulations show that a version of the lens operating at the frequency of visible light can be realized in the form of a thin slab of silver, which resolves objects only a few nanometers across.
Journal ArticleDOI

Experimental Verification of a Negative Index of Refraction

TL;DR: These experiments directly confirm the predictions of Maxwell's equations that n is given by the negative square root ofɛ·μ for the frequencies where both the permittivity and the permeability are negative.
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