Experimental Observation of Large Chern Numbers in Photonic Crystals.
Scott Skirlo,Ling Lu,Yuichi Igarashi,Yuichi Igarashi,Q. Yan,Q. Yan,John D. Joannopoulos,Marin Soljacic +7 more
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TLDR
Mic microwave transmission measurements in the bulk and at the edge of ferrimagnetic photonic crystals are performed to produce dispersion relations of the edge modes, whose number and direction match the Chern number calculations.Abstract:
Despite great interest in the quantum anomalous Hall phase and its analogs, all experimental studies in electronic and bosonic systems have been limited to a Chern number of one. Here, we perform microwave transmission measurements in the bulk and at the edge of ferrimagnetic photonic crystals. Band gaps with large Chern numbers of 2, 3, and 4 are present in the experimental results, which show excellent agreement with theory. We measure the mode profiles and Fourier transform them to produce dispersion relations of the edge modes, whose number and direction match our Chern number calculations.read more
Citations
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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.
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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 higher-order topological acoustic states protected by generalized chiral symmetry.
TL;DR: It is demonstrated theoretically and experimentally that 3D-printed two-dimensional acoustic meta-structures can possess nontrivial bulk topological polarization and host one-dimensional edge and Wannier-type second-order zero-dimensional corner states with unique acoustic properties, and offer possibilities for advanced control of the propagation and manipulation of sound, including within the radiative continuum.
Topological Phononic Crystals with One-Way Elastic Edge Waves
Pai Wang,Ling Lu,Katia Bertoldi +2 more
TL;DR: In this paper, the authors report a new type of phononic crystals with topologically nontrivial band gaps for both longitudinal and transverse polarizations, resulting in protected one-way elastic edge waves.
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Experimental observation of anomalous topological edge modes in a slowly driven photonic lattice.
Sebabrata Mukherjee,Alexander Spracklen,Manuel Valiente,Erika Andersson,Patrik Öhberg,Nathan Goldman,Robert R. Thomson +6 more
TL;DR: This work demonstrates the experimental observation of anomalous topological edge modes in a 2D photonic lattice, where these propagating edge states are shown to coexist with a quasi-localized bulk.
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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New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance
TL;DR: In this article, the Hall voltage of a two-dimensional electron gas, realized with a silicon metal-oxide-semiconductor field effect transistor, was measured and it was shown that the Hall resistance at particular, experimentally well-defined surface carrier concentrations has fixed values which depend only on the fine-structure constant and speed of light, and is insensitive to the geometry of the device.
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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.