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Topological photonic systems offer light transport that is robust against defects and disorder, promising a new generation of chip-scale photonic devices and facilitating energy-efficient on-chip information routing and processing. However,…

A topological phase is a phase of matter which cannot be characterized by a local order parameter. It has been shown that gapped phases in 1D systems can be completely characterized using tools related to projective representations of the…

Strongly Correlated Electrons · Physics 2014-12-17 Frank Pollmann , Ari M. Turner

Searching for topological insulators/superconductors is a central subject in recent condensed matter physics. As a theoretical aspect, various classification methods of symmetry-protected topological phases have been developed, where the…

Superconductivity · Physics 2021-12-01 Shuntaro Sumita , Youichi Yanase

Topological crystalline insulators are a class of materials with a bulk energy gap and edge or surface modes, which are protected by crystalline symmetry, at their boundaries. They have been realized in electronic systems: in particular, in…

Mesoscale and Nanoscale Physics · Physics 2016-10-25 Jian-Xiao Zhang , Mikael C. Rechtsman , Chao-Xing Liu

We propose that a photonic array of resonant circular dielectric waveguides with subwavelength grating can be designed as a robust and sensitive topological chemical sensor. The device can detect trace amounts of a given chemical species…

Optics · Physics 2021-08-04 Kiernan E. Arledge , Bruno Uchoa , Yi Zou , Binbin Weng

Topological photonics sheds light on some of the surprising phenomena seen in condensed matter physics that arise with the appearance of topological invariants. Optical waveguides provide a well-controlled platform to investigate effects…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 Adrian J Menssen , Jun Guan , David Felce , Martin J Booth , Ian A Walmsley

The recent realization of topological phases in insulators and superconductors has advanced the quest for robust quantum technologies. The prospects to implement the underlying topological features controllably has given incentive to…

Optics · Physics 2015-04-06 C. Poli , M. Bellec , U. Kuhl , F. Mortessagne , H. Schomerus

The hallmark feature of topological insulators renders edge transport virtually impervious to scattering at defects and lattice disorder. In our work, we experimentally demonstrate a topological system, using a photonic platform, in which…

Topological crystalline superconductors have attracted rapidly rising attention due to the possibility of higher-order phases, which support Majorana modes on boundaries in $d-2$ or lower dimensions. However, although the classification and…

Superconductivity · Physics 2021-03-24 Sheng-Jie Huang , Yi-Ting Hsu

Topological waveguides have been extensively studied for their robust transmission properties immune to defects and their application potentials for microwave and terahertz integrated circuits. In this work, by using grounded planar…

Applied Physics · Physics 2022-10-14 HongYu Shi , BoLin Li , Wei. E. I. Sha , ZhiHao Lan , Fei Gao , JianJia Yi , AnXue Zhang , Zhuo Xu

Alternating current (ac) circuits can have electromagnetic edge modes protected by symmetries, analogous to topological band insulators or semimetals. How to make such a topological circuit? This paper illustrates a particular design idea…

Mesoscale and Nanoscale Physics · Physics 2018-12-12 Erhai Zhao

Topological crystalline phases in electronic structures can be generally classified using the spatial symmetry characters of the valence bands and mapping them onto appropriate symmetry indicators. These mappings have been recently applied…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 Sander H. Kooi , Guido van Miert , Carmine Ortix

Crystalline symmetries play an important role in the classification of band structures, and the rich variety of spatial symmetries in solids leads to various topological crystalline phases (TCPs). However, compared with topological…

Mesoscale and Nanoscale Physics · Physics 2019-03-12 Feng Tang , Hoi Chun Po , Ashvin Vishwanath , Xiangang Wan

In addition to novel surface states, topological insulators can also exhibit robust gapless states at crystalline defects. Step edges constitute a class of common defects on the surface of crystals. In this work we establish the topological…

Strongly Correlated Electrons · Physics 2019-04-17 Davide Iaia , Chang-Yan Wang , Yulia Maximenko , Daniel Walkup , R. Sankar , Fangcheng Chou , Yuan-Ming Lu , Vidya Madhavan

Topological properties of solid states have sparked considerable recent interest due to their importance in the physics of lattices with a non-trivial basis and their potential in the design of novel materials. Here we describe an…

Applied Physics · Physics 2020-02-19 Henning U. Voss , Douglas J. Ballon

Two-dimensional photonic crystals made of six air holes on a core-shell dielectric material has been proposed to study the newly emerged photonic quantum spin Hall insulator. Specifically, radii modification of the air holes and core-shell…

Applied Physics · Physics 2021-06-02 J. Hajivandi , H. Kurt

One of the hallmarks of topological insulators is the correspondence between the value of its bulk topological invariant and the number of topologically protected edge modes observed in a finite-sized sample. This bulk-boundary…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 Ana Silva , Jasper van Wezel

Topological phases enable protected transport along the edges of materials, offering immunity against scattering from disorder and imperfections. These phases were suggested and demonstrated not only for electronic systems, but also for…

Theories of symmetry-based indicators and topological quantum chemistry, while powerful in diagnosing gapped topological materials, cannot be directly applied to diagnosing band degeneracies at high-symmetry momenta due to the violation of…

Materials Science · Physics 2020-07-01 Tiantian Zhang , Ling Lu , Shuichi Murakami , Zhong Fang , Hongming Weng , Chen Fang

Topological phononic crystals (PCs) are periodic artificial structures which can support nontrivial acoustic topological bands, and their topological properties are linked to the existence of topological edge modes. Most previous studies…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Degang Zhao , Meng Xiao , C. W. Ling , C. T. Chan , Kin Hung Fung