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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…

Defect modes in two-dimensional periodic photonic structures have found use in a highly diverse set of optical devices. For example, photonic crystal cavities confine optical modes to subwavelength volumes and can be used for Purcell…

Mesoscale and Nanoscale Physics · Physics 2018-06-27 Jiho Noh , Wladimir A. Benalcazar , Sheng Huang , Matthew J. Collins , Kevin Chen , Taylor L. Hughes , Mikael C. Rechtsman

Recent realizations of exotic topological states in condensed matter and cold atoms have advanced the exploration for topological characteristics, such as invariant topological orders and band inversion. Here we construct a 1D optical…

Optics · Physics 2018-09-14 Jun Jiang , Zhiwei Guo , Weiwei Zhu , Yang Long , Haitao Jiang , Jie Ren , Hong Chen

In this work we propose a topological valley phononic crystal plate and we extensively investigate the refraction of valley modes into the surrounding homogeneous medium. This phononic crystal includes two sublattices of resonators (A and…

Applied Physics · Physics 2021-05-12 Linyun Yang , Kaiping Yu , Bernard Bonello , Wei Wang , Ying Wu

Topological photonic edge states are conventionally formed at the interface between two domains of topologically trivial and nontrivial photonic crystals. Recent works exploiting photonic quantum Hall and quantum valley Hall effects have…

Optics · Physics 2023-04-26 Zhihao Lan , Menglin L. N. Chen , Jian Wei You , Wei E. I. Sha

A new design paradigm of topology has recently emerged to manipulate the flow of phonons. At its heart lies a topological transition to a nontrivial state with exotic properties. This framework has been limited to linear lattice dynamics so…

Mesoscale and Nanoscale Physics · Physics 2019-07-22 Rajesh Chaunsali , Georgios Theocharis

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

Correlated topological materials often maintain a delicate balance among physical symmetries: many topological orders are symmetry protected, while most correlated phenomena arise from spontaneous symmetry breaking. It is rare to find cases…

In this paper gradient based topology optimization (TO) is used to discover 3-D phononic structures that exhibit ultra-wide normalized all-angle all-mode band gaps. The challenging computational task of repeated 3-D phononic band-structure…

Materials Science · Physics 2017-01-27 Yan Lu , Yang Yang , James K. Guest , Ankit Srivastava

Crystalline symmetry offers a powerful tool to realize photonic topological phases, in which additional trivial claddings are typically required to confine topological boundary states. However, the utility of the trivial cladding in…

Optics · Physics 2026-02-03 Hai-Xiao Wang , Li Liang , Shuai Shao , Shiwei Tang , Junhui Hu , Yin Poo , Jian-Hua Jiang

The mathematical field of topology has become a framework to describe the low-energy electronic structure of crystalline solids. A typical feature of a bulk insulating three-dimensional topological crystal are conducting two-dimensional…

Topological photonics provides a robust and flexible platform for controlling light, enabling functionalities such as backscattering-immune edge transport and slow-light propagation. In this work, we design and characterize photonic…

Optics · Physics 2025-05-12 Ondřej Novák , Martin Veis , Gervasi Herranz

Topological photonics was embarked from realizing the first-order chiral state in gyromagnetic media, but its higher-order states were mostly studied in dielectric lattice instead. In this paper we theoretically unveil a hierarchy of…

Optics · Physics 2026-01-14 Zhi-Kang Xiong , Y. Liu , Xiying Fan , Bin Zhou

The intertwined ferroelectricity and band topology will enable the non-volatile control of the topological states, which is of importance for nanoelectrics with low energy costing and high response speed. Nonetheless, the principle to…

Materials Science · Physics 2021-02-16 Yan Liang , Ning Mao , Ying Dai , Liangzhi Kou , Baibiao Huang , Yandong Ma

Quadrupole topological phases, exhibiting protected boundary states that are themselves topological insulators of lower dimensions, have recently been of great interest. Extensions of these ideas from current tight binding models to…

Optics · Physics 2020-07-15 Li He , Zachariah Addison , Eugene J. Mele , Bo Zhen

We report the discovery of several classes of novel topological insulators (TIs) with hybrid-order boundary states generated from the first-order TIs with additional crystalline symmetries. Unlike the current studies on hybrid-order TIs…

Mesoscale and Nanoscale Physics · Physics 2025-05-09 Yan-Qing Zhu , Zhen Zheng , Giandomenico Palumbo , Z. D. Wang

Topological insulators, first observed in electronic systems, have inspired many analogues in photonic and phononic crystals in which remarkable one-way propagation edge states are supported by topologically nontrivial bandgaps. Such…

Mesoscale and Nanoscale Physics · Physics 2016-06-01 Ze-Guo Chen , Ying Wu

We propose an intrinsic 3D Fabry-P\'erot type interferometer, coined "higher-order interferometer", that utilizes the chiral hinge states of second-order topological insulators and cannot be equivalently mapped to 2D space because of…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Chang-An Li , Song-Bo Zhang , Jian Li , Björn Trauzettel

We study topological properties of density wave states with broken translational symmetry in two-dimensional multi-orbital systems with a particular focus on t$_{2g}$ orbitals in square lattice. Due to distinct symmetry properties of…

Strongly Correlated Electrons · Physics 2015-05-19 Bohm-Jung Yang , Hae-Young Kee

Topological acoustic and elastic waves have recently emerged as an exciting interdisciplinary field which is still mainly focused on low-dimensional structures and model systems. Here we demonstrate numerically an elastic-wave analogue of…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 Zhan Xiong , Hai-Xiao Wang , Jinjie Shi , Jie Luo , Yun Lai , Ming-Hui Lu , Jian-Hua Jiang