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Photonic crystals have been demonstrated as a versatile platform for the study of topological phenomena. The recent discovery of higher order topological insulators introduces new aspects of topological photonic crystals which are yet to be…

Optics · Physics 2021-02-02 Shiqiao Wu , Bin Jiang , Yang Liu , Jian-Hua Jiang

We show that a tetragonal lattice of weakly interacting cavities with uniaxial electromagnetic response is the photonic counterpart of topological crystalline insulators, a new topological phase of atomic band insulators. Namely, the…

Strongly Correlated Electrons · Physics 2015-06-03 Vassilios Yannopapas

Topological photonics aims to utilize topological photonic bands and corresponding edge modes to implement robust light manipulation, which can be readily achieved in the linear regime of light-matter interaction. Importantly, unlike solid…

Optics · Physics 2020-04-22 Zhihao Lan , Jian Wei You , Nicolae C. Panoiu

Topology is revolutionizing photonics, bringing with it new theoretical discoveries and a wealth of potential applications. This field was inspired by the discovery of topological insulators, in which interfacial electrons transport without…

Optics · Physics 2014-11-04 Ling Lu , John D. Joannopoulos , Marin Soljačić

The biphenylene network (BPN) has a unique two-dimensional atomic structure, where hexagonal unit cells are arranged on a square lattice. Inspired by such a BPN structure, we design a counterpart in the fashion of photonic crystals (PhCs),…

Optics · Physics 2023-12-29 Huyen Thanh Phan , Keiki Koizumi , Feng Liu , Katsunori Wakabayashi

With the rapid development of topological states in crystals, the study of topological states has been extended to quasicrystals in recent years. In this review, we summarize the recent progress of topological states in quasicrystals,…

Materials Science · Physics 2021-08-04 Jiahao Fan , Huaqing Huang

Weyl fermions have not been found in nature as elementary particles, but they emerge as nodal points in the band structure of electronic and classical wave crystals. Novel phenomena such as Fermi arcs and chiral anomaly have fueled the…

Optics · Physics 2017-08-22 Qiang Wang , Meng Xiao , Hui Liu , Shining Zhu , C. T. Chan

Topological surface states, a new kind of electronic state of matter, have recently been observed on the cleaved surfaces of crystals of a handful of small band gap semiconductors. The underlying chemical factors that enable these states…

Materials Science · Physics 2013-07-19 R. J. Cava , Huiwen Ji , M. K. Fuccillo , Q. D. Gibson , Y. S. Hor

In this paper we study the formation of topological Tamm states at the interface between a semi-infinite one-dimensional photonic-crystal and a metal. We show that when the system is topologically non-trivial there is a single Tamm state in…

Mesoscale and Nanoscale Physics · Physics 2020-04-15 J. C. G. Henriques , T. G. Rappoport , Y. V. Bludov , M. I. Vasilevskiy , N. M. R. Peres

Topological physics opens up a plethora of exciting phenomena allowing to engineer disorder-robust unidirectional flows of light. Recent advances in topological protection of electromagnetic waves suggest that even richer functionalities…

Recent developments in photonic topological phases have revealed that protected edge modes can emerge not only from global topological invariants, but also from symmetry-enforced polarization mismatches between distinct bulk phases. In this…

Optics · Physics 2025-07-14 Ondřej Novák , Martin Veis , Gervasi Herranz

Topological phonics has emerged as a novel approach to engineer the flow of light and provides unprecedented means for developing diverse photonic elements, including robust optical waveguides immune to structural imperfections. However,…

Mesoscale and Nanoscale Physics · Physics 2019-06-18 Yasutomo Ota , Feng Liu , Ryota Katsumi , Katsuyuki Watanabe , Katsunori Wakabayashi , Yasuhiko Arakawa , Satoshi Iwamoto

Effective medium theory is used to model a one dimensional lossy dielectric quaternary photonic crystal as a homogeneous slab. The unit cell of the original crystal is inversion symmetric with layer sequence ACBCA. The behavior of the…

Optics · Physics 2020-03-25 Nicholas J. Bianchi , Leonard M. Kahn

We present a theoretical study of electromagnetic surface waves localized at an interface separating a conventional uniform medium and a semi-infinite 1-D photonic crystal made of alternate left-handed metamaterial and right-handed material…

Optics · Physics 2009-11-13 Abdolrahman Namdar

Topological insulators and topological superconductors are distinguished by their bulk phase transitions and gapless states at a sharp boundary with the vacuum. Quasicrystals have recently been found to be topologically nontrivial. In…

Mesoscale and Nanoscale Physics · Physics 2013-02-18 Mor Verbin , Oded Zilberberg , Yaacov E. Kraus , Yoav Lahini , Yaron Silberberg

It is well known that an interface created by two topologically distinct structures could host nontrivial edge states that are immune to defects. In this letter, we introduce a one-dimensional space-time phononic crystal and study the…

Classical Physics · Physics 2020-01-20 Mourad Oudich , Yuanchen Deng , Molei Tao , Yun Jing

Here, the frequency degree of freedom is introduced into valley photonic crystals with dual band gaps. Based on the high-order plane wave expansion model, we derive an effective Hamiltonian which characterizes dual band gaps. Metallic…

We introduce topological phases in Photonic Time-Crystals. Photonic Time-Crystals are materials in which the refractive index varies periodically and abruptly in time. When the refractive index changes abruptly, the light propagating in the…

Optics · Physics 2018-12-14 Eran Lustig , Yonatan Sharabi , Mordechai Segev

We show that one-dimensional quasi-periodic optical lattice systems can exhibit edge states and topological phases which are generally believed to appear in two-dimensional systems. When the Fermi energy lies in gaps, the Fermi system on…

Quantum Gases · Physics 2012-08-02 Li-Jun Lang , Xiaoming Cai , Shu Chen

The optical properties of photonic structures made with more than two materials are very interesting for optical filtering and lighting applications. Herein, we compared the transmission properties of one-dimensional photonic crystals made…

Optics · Physics 2014-12-16 Ilka Kriegel , Francesco Scotognella