Symmetry-protected topological photonic crystal in three dimensions
TLDR
In this paper, a photonic analogue of a three-dimensional solid-state topological insulator is proposed, where the symmetries may protect single Dirac cones on the surface of a photonics crystal.Abstract:
Crystal symmetries may protect single Dirac cones on the surface of a photonic crystal, creating a photonic analogue of a three-dimensional solid-state topological insulator.read more
Citations
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Experimental observation of Weyl points
TL;DR: In this paper, angle-resolved microwave transmission measurements through a double-gyroid photonic crystal with inversion-breaking where Weyl points have been theoretically predicted to occur were performed.
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Topological Band Theory for Non-Hermitian Hamiltonians.
TL;DR: The topological band theory for systems described by non-Hermitian Hamiltonians, whose energy spectra are generally complex, is developed and "gapped" bands in one and two dimensions are classified by explicitly finding their topological invariants.
Dirac Semimetal in Three Dimensions
TL;DR: In this article, the pseudorelativistic physics of graphene near the Fermi level can be extended to three dimensional (3D) materials, and particular space groups also allow 3D Dirac points as symmetry protected degeneracies.
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Two-dimensional topological photonics
TL;DR: In this paper, the authors summarize the latest advances in this highly dynamic field, with special emphasis on the experimental work on two-dimensional photonic topological structures, such as reflection-free sharply bent waveguides, robust delay lines, spin-polarized switches and non-reciprocal devices.
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Observation of topological valley transport of sound in sonic crystals
TL;DR: In this article, valley transport of sound is reported for a macroscopic triangular-lattice array of rod-like scatterers in a 2D air waveguide.
References
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Colloquium: Topological insulators
M. Z. Hasan,Charles L. Kane +1 more
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.
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Topological insulators and superconductors
Xiao-Liang Qi,Shou-Cheng Zhang +1 more
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.
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Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface
TL;DR: In this article, first-principles electronic structure calculations of the layered, stoichiometric crystals Sb2Te3, Bi2Se3, SbSe3 and BiSe3 were performed.
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Quantized Hall conductance in a two-dimensional periodic potential
TL;DR: In this article, the Hall conductance of a two-dimensional electron gas has been studied in a uniform magnetic field and a periodic substrate potential, where the Kubo formula is written in a form that makes apparent the quantization when the Fermi energy lies in a gap.
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Topological Photonics
Tomoki Ozawa,Hannah M. Price,Alberto Amo,Nathan Goldman,Mohammad Hafezi,Ling Lu,Mikael C. Rechtsman,David Schuster,Jonathan Simon,Oded Zilberberg,Iacopo Carusotto +10 more
TL;DR: Topological photonics is a rapidly emerging field of research in which geometrical and topological ideas are exploited to design and control the behavior of light as mentioned in this paper, which holds great promise for applications.