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We propose a scheme to realize various non-Hermitian topological phases in a topolectrical (TE) circuit network consisting of resistors, inductors, and capacitors. These phases are characterized by topologically protected exceptional points…

Mesoscale and Nanoscale Physics · Physics 2021-02-09 S M Rafi-Ul-Islam , Zhuo Bin Siu , Mansoor B. A. Jalil

Fabrication imperfections must be considered during configuration to ensure that the setup is suitable for the actual fabricated programmable photonic integrated circuits (PPICs). Therefore, characterization of imperfections is crucial but…

Optics · Physics 2024-06-11 Ran Tao , Jifang Qiu , Yuchen Chen , Bowen Zhang , Yan Li , Hongxiang Guo , Jian Wu

The rich variety of crystalline symmetries in solids leads to a plethora of topological crystalline insulators (TCIs) featuring distinct physical properties, which are conventionally understood in terms of bulk invariants specialized to the…

Strongly Correlated Electrons · Physics 2018-09-19 Eslam Khalaf , Hoi Chun Po , Ashvin Vishwanath , Haruki Watanabe

Topological materials for classical waves offer remarkable potential in applications such as sensing, waveguiding and signal processing, leveraging topological protection effects like strong robustness, immunity to backscattering and…

Applied Physics · Physics 2025-03-11 Gang-Gang Xu , Xiao-Shuang Li , Tian-Xue Ma , Xi-Xian Liu , Xiao-Wei Sun , Yue-Sheng Wang

Topolectrical circuits provide a versatile platform for exploring and simulating modern physical models. However, existing approaches suffer from incomplete programmability and ineffective feature prediction and control mechanisms,…

Disordered Systems and Neural Networks · Physics 2025-10-29 Hao Jia , Shanglin Yang , Jiajun He , Shuo Liu , Haoxiang Chen , Ce Shang , Shaojie Ma , Peng Han , Ching Hua Lee , Zhen Gao , Yun Lai , Tie Jun Cui

Topological photonics has emerged as a novel paradigm for the design of electromagnetic systems from microwaves to nanophotonics. Studies to date have largely focused on the demonstration of fundamental concepts, such as non-reciprocity and…

Optics · Physics 2020-09-30 Daniel Leykam , Luqi Yuan

Topological edge states in systems of two (or more) dimensions offer scattering-free transport, exhibiting robustness to inhomogeneities and disorder. In a different domain, time-modulated systems, such as photonic time crystals (PTCs),…

Spatial coordinate transformation is a suitable tool for the design of complex electromagnetic structures. In this paper, we define three spatial coordinate transformations which show the possibility of designing a taper between two…

Classical Physics · Physics 2010-01-11 Paul-Henri Tichit , Shah Nawaz Burokur , Andre de Lustrac

Topological crystalline insulator (TCI) is one of the symmetry-protected topological states. Any TCI can be deformed into a simple product state of several decoupled two-dimensional (2D) topologically nontrivial layers in its lattice…

Materials Science · Physics 2020-05-20 Yuting Qian , Zhiyun Tan , Tan Zhang , Jiacheng Gao , Zhijun Wang , Zhong Fang , Chen Fang , Hongming Weng

The operating frequency range of passive topological phononic crystals is generally fixed and narrow, limiting their practical applications. To overcome this difficulty, here we design and investigate a one-dimensional soft dielectric…

Soft Condensed Matter · Physics 2022-10-25 Yingjie Chen , Bin Wu , Michel Destrade , Weiqiu Chen

Refractive index is a fundamental electromagnetic (EM) parameter that can describe photonic continuous media (PCM) traditionally as either transparency or opacity. Recently, topological theory offers a new set of phases to characterize PCM…

Optics · Physics 2025-10-28 Xin-Tao He , Shuo-Shi Zhang , Xiao-Dong Chen , Jian-Wen Dong

Gyroscopic metamaterials --- mechanical structures composed of interacting spinning tops --- have recently been found to support one-way topological edge excitations. In these structures, the time reversal symmetry breaking that enables…

Mesoscale and Nanoscale Physics · Physics 2018-11-14 Noah P. Mitchell , Lisa M. Nash , William T. M. Irvine

Topological photonics provides an ideal platform for demonstrating novel band topology concepts, which are also promising for robust waveguiding, communication and computation applications. However, many challenges such as extremely large…

Optics · Physics 2020-03-18 Wenjing Liu , Minsoo Hwang , Zhurun Ji , Yuhui Wang , Gaurav Modi , Ritesh Agarwal

Introduction of controllable deformations into periodic materials that lead to disclinations in their structure opens novel routes for construction of higher-order topological insulators hosting topological states at disclinations.…

Existence of robust edge modes at interfaces of topologically dissimilar systems is one of the most fascinating manifestations of a novel nontrivial state of matter, topological insulators. Such electronic states were originally predicted…

The topological invariants of a periodic system can be used to define the topological phase of each band and determine the existence of topological interface states within a certain bandgap. Here, we propose a scheme based on the full phase…

Spatially resolved local quantum geometric markers play a crucial role in the diagnosis of topological phases without long-range translational symmetry, including amorphous systems. Here, we focus on the nonlocality of such markers. We…

Mesoscale and Nanoscale Physics · Physics 2025-11-14 Quentin Marsal , Hui Liu , Emil J. Bergholtz , Annica M. Black-Schaffer

We theoretically study subgap states appearing at the interface between two three-dimensional topological insulators which have different configurations in the spin-orbit interactions from each other. The coupling of spin…

Mesoscale and Nanoscale Physics · Physics 2013-11-12 Tetsuro Habe , Yasuhiro Asano

We propose and experimentally demonstrate a tunable band-notched line-defect waveguide in a surface-wave photonic crystal, which consists of a straight line-defect waveguide and side-coupled defect cavities. A tunable narrow stopband can be…

Optics · Physics 2016-11-03 Zhen Gao , Fei Gao , Youming Zhang , Hongyi Xu , Baile Zhang

Quantized electric quadrupole insulators have recently been proposed as novel quantum states of matter in two spatial dimensions. Gapped otherwise, they can feature zero-dimensional topological corner mid-gap states protected by the bulk…